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A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement?


A) A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement? A)    B)    C)    D)
B) A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement? A)    B)    C)    D)
C) A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement? A)    B)    C)    D)
D) A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement? A)    B)    C)    D)

E) C) and D)
F) B) and D)

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The formula for the test value in a z test for proportions is __________.

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The average greyhound can reach a top speed of 18.5 meters per second. A particular greyhound breeder claims her dogs are faster than the average greyhound. A sample of 40 of her dogs ran, on average, 19.2 meters per second with a population standard deviation of 1.2 meters per second. With α = 0.05, is her claim correct?


A) Yes, because the test value 0.09 falls in the noncritical region.
B) No, because the test value 0.09 falls in the critical region.
C) Yes, because the test value 3.69 falls in the critical region.
D) No, because the test value 0.70 falls in the critical region.

E) C) and D)
F) B) and C)

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Use the following to answer questions : The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed? -What is the p-value for this left-tailed test?


A) 0.0853
B) 0.0951
C) 0.1327
D) 0.0036

E) A) and B)
F) A) and D)

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If the sample mean is 7, the hypothesized population mean is 4, and the population standard deviation is 2, compute the test value needed for the z test.


A) 1.50
B) 3.00
C) -3.00
D) -1.50

E) B) and C)
F) A) and C)

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If the sample mean is 8, the hypothesized population mean is 11, and the population standard deviation is 2, compute the test value needed for the z test.


A) 1.50
B) 3.00
C) -3.00
D) -1.50

E) B) and C)
F) All of the above

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For the conjecture "The average weight of a cuckoo bird is less than 1.3 pounds", the null and alternative hypotheses are:


A) For the conjecture  The average weight of a cuckoo bird is less than 1.3 pounds , the null and alternative hypotheses are: A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. The average weight of a cuckoo bird is less than or equal to 1.3 pounds. For the conjecture  The average weight of a cuckoo bird is less than 1.3 pounds , the null and alternative hypotheses are: A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. The average weight of a cuckoo bird is less than 1.3 pounds.
B) For the conjecture  The average weight of a cuckoo bird is less than 1.3 pounds , the null and alternative hypotheses are: A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. The average weight of a cuckoo bird is equal to 1.3 pounds. For the conjecture  The average weight of a cuckoo bird is less than 1.3 pounds , the null and alternative hypotheses are: A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. The average weight of a cuckoo bird is less than 1.3 pounds.
C) For the conjecture  The average weight of a cuckoo bird is less than 1.3 pounds , the null and alternative hypotheses are: A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. The average weight of a cuckoo bird is more than 1.3 pounds. For the conjecture  The average weight of a cuckoo bird is less than 1.3 pounds , the null and alternative hypotheses are: A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. The average weight of a cuckoo bird is less than 1.3 pounds.
D) For the conjecture  The average weight of a cuckoo bird is less than 1.3 pounds , the null and alternative hypotheses are: A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. The average weight of a cuckoo bird is less than $1.3 pounds. For the conjecture  The average weight of a cuckoo bird is less than 1.3 pounds , the null and alternative hypotheses are: A)    The average weight of a cuckoo bird is less than or equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. B)    The average weight of a cuckoo bird is equal to 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. C)    The average weight of a cuckoo bird is more than 1.3 pounds.   The average weight of a cuckoo bird is less than 1.3 pounds. D)    The average weight of a cuckoo bird is less than $1.3 pounds.   The average weight of a cuckoo bird is more than or equal to $1.3 pounds. The average weight of a cuckoo bird is more than or equal to $1.3 pounds.

E) A) and B)
F) A) and C)

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Is the statement Is the statement   a valid null hypothesis? A)  Yes, this is a statement that compares a parameter to a value. B)  Yes, this is a statement that compares two parameters. C)  No, equalities are not permitted in a null hypothesis. D)  No, there is no parameter contained in this statement. a valid null hypothesis?


A) Yes, this is a statement that compares a parameter to a value.
B) Yes, this is a statement that compares two parameters.
C) No, equalities are not permitted in a null hypothesis.
D) No, there is no parameter contained in this statement.

E) B) and C)
F) A) and D)

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An average computer mouse inspector can inspect 45 mice per hour with a population standard deviation of 14 mice per hour. The 44 computer mice inspectors at a particular factory can only inspect 38 mice per hour. Does the company have reason to believe that these inspectors are slower than average at α = 0.10?


A) Yes, because the test value -3.32 falls in the noncritical region.
B) No, because the test value -1.91 falls in the critical region.
C) Yes, because the test value -3.32 falls in the critical region.
D) No, because the test value -1.91 falls in the noncritical region.

E) B) and D)
F) All of the above

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The χ2 critical value for n = 16 and α = 0.01 for a left-tailed test is 5.812.

A) True
B) False

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A doctor claims that the standard deviation of systolic blood pressure is 12 mmHg. A random sample of 24 patients found a standard deviation of 14 mmHg. Assume the variable is normally distributed. At α = 0.01, what are the critical χ2 values?


A) 9.262 and 44.181
B) 13.091 and 35.172
C) 13.848 and 36.415
D) 11.524 and 44.314

E) None of the above
F) All of the above

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Sam Ying, a career counselor, claims the average number of years of schooling for an engineer is 15.8 years. A sample of 16 engineers had a mean of 15.0 years and a standard deviation of 1.5 years. The test value used in evaluating the claim would be -2.68.

A) True
B) False

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A lumber mill is tested for consistency by measuring the variance of board thickness. The target accuracy is a variance of 0.0035 square inches or less. If 30 measurements are made and their variance is 0.006 square inches, is there enough evidence to reject the claim that the standard deviation is within the limit at A lumber mill is tested for consistency by measuring the variance of board thickness. The target accuracy is a variance of 0.0035 square inches or less. If 30 measurements are made and their variance is 0.006 square inches, is there enough evidence to reject the claim that the standard deviation is within the limit at   = .01? A)  Yes, since the χ<sup>2</sup> test value 49.71 is greater than the critical value 49.588. B)  No, since the χ<sup>2</sup> test value 9.23 is less than the critical value 49.588. C)  Yes, since the χ<sup>2</sup> test value 49.71 is less than the critical value 50.892. D)  No, since the χ<sup>2</sup> test value 9.23 is less than the critical value 50.892. = .01?


A) Yes, since the χ2 test value 49.71 is greater than the critical value 49.588.
B) No, since the χ2 test value 9.23 is less than the critical value 49.588.
C) Yes, since the χ2 test value 49.71 is less than the critical value 50.892.
D) No, since the χ2 test value 9.23 is less than the critical value 50.892.

E) A) and C)
F) A) and B)

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A manufacturer claims that its televisions have an average lifetime of at least five years (60 months) with a population standard deviation of seven months. Eighty-one televisions were selected at random, and the average lifetime was found to be 59 months. With α = 0.025, is the manufacturer's claim supported?

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blured image Critical value = -1.96
Test value = -1....

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Use the following to answer questions : The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed? -Compute the test value?


A) -1.31
B) 1.31
C) -1.52
D) 1.52

E) B) and C)
F) A) and B)

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Use the following to answer questions: A recent survey indicated that the average amount spent for breakfast by business managers was $7.58 with a standard deviation of $0.42. It was felt that breakfasts on the West Coast were higher than $7.58. A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65. -Find the P-value for the test.


A) 0.4332
B) 0.2734
C) 0.1325
D) 0.0668

E) All of the above
F) C) and D)

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Is the statement Is the statement   a valid null hypothesis? A)  Yes, this is a statement that compares a parameter to a value. B)  Yes, this is a statement that compares two parameters. C)  No, equalities are not permitted in a null hypothesis. D)  No, there is no parameter contained in this statement. a valid null hypothesis?


A) Yes, this is a statement that compares a parameter to a value.
B) Yes, this is a statement that compares two parameters.
C) No, equalities are not permitted in a null hypothesis.
D) No, there is no parameter contained in this statement.

E) A) and C)
F) A) and D)

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Is the statement Is the statement   a valid null hypothesis? A)  Yes, this is a statement that compares a parameter to a value. B)  Yes, this is a statement that compares two parameters. C)  No, equalities are not permitted in a null hypothesis. D)  No, there is no parameter contained in this statement. a valid null hypothesis?


A) Yes, this is a statement that compares a parameter to a value.
B) Yes, this is a statement that compares two parameters.
C) No, equalities are not permitted in a null hypothesis.
D) No, there is no parameter contained in this statement.

E) None of the above
F) B) and C)

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Which type of null hypothesis is used in the figure below? Which type of null hypothesis is used in the figure below?   A)    B)    C)    D)


A) Which type of null hypothesis is used in the figure below?   A)    B)    C)    D)
B) Which type of null hypothesis is used in the figure below?   A)    B)    C)    D)
C) Which type of null hypothesis is used in the figure below?   A)    B)    C)    D)
D) Which type of null hypothesis is used in the figure below?   A)    B)    C)    D)

E) B) and C)
F) All of the above

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The null hypothesis states that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.

A) True
B) False

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