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A recent study claims that business travelers spend an average of $41 per day on meals. A sample of 16 business travelers found that they had spent an average of $45 per day with a standard deviation of $3.65. If a=0.05a = 0.05 , what are the critical values?


A) ±2.120\pm 2.120
B) ±2.131\pm 2.131
C) ±1.753\pm 1.753
D) ±1.746\pm 1.746

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If the observed value is 4, the expected value is 5, and the standard error is 3, then the test value used for the z test is equal to


A) 0.33
B) 1.00
C) -1.00
D) -0.33

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Dr. Christina Cuttleman, a nutritionist, claims that the average number of calories in a serving of popcorn is 75 with a standard deviation of 7. A sample of 50 servings of popcorn yields an average of 78 calories. Check Dr. Cuttleman's claim at a=0.05a = 0.05

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When conducting a two-tailed z.-test with α=0.01\alpha = 0.01 , the test value was 2.07. The decision would be: do not reject the null hypothesis.

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A random sample of 25 rats was fed a diet for a period of 4 weeks. The weight gain (in grams) was recorded for each rat. It is known that the population variance is 4. The average weight gain was 16.1. The P-value for testing the claim that this diet would increase weight by at least 15 grams would be


A) 0.005
B) 0.003
C) 0.014
D) 0.135

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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. Is there evidence that the costs of homes for sale in this subdivision are actually lower than claimed? -At a=0.05a = 0.05 , what is the test value?


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

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Reginald Brown, an inspector from the Department of Industry, weighs fifteen 18-ounce cereal boxes of corn flakes. He finds their mean weight to be 17.78 ounces with a standard deviation of 0.4 ounces. Are the cereal boxes lighter than they should be? Let α=0.01\alpha = 0.01

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blured image There is not enough evidence ...

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 A right-tailed test is used when H0:μk\text { A right-tailed test is used when } H _ { 0 } : \mu \geq k \text {. }

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A lumber mill is tested for consistency by measuring the variance of board thicknesses. The target accuracy a variance of 0.0015 or less. If 22 measurements are taken and their variance is 0.006, is there Enough evidence to reject the claim that her standard deviation is within the limit at A lumber mill is tested for consistency by measuring the variance of board thicknesses. The target accuracy a variance of 0.0015 or less. If 22 measurements are taken and their variance is 0.006, is there Enough evidence to reject the claim that her standard deviation is within the limit at   ? A)  Yes, comparing the test value 84.00 and the critical value 38.93. B)  No, comparing the test value 18.33 and the critical value 38.93. C)  Yes, comparing the test value 84.00 and the critical value 40.29. D)  No, comparing the test value 18.33 and the critical value 40.29. ?


A) Yes, comparing the test value 84.00 and the critical value 38.93.
B) No, comparing the test value 18.33 and the critical value 38.93.
C) Yes, comparing the test value 84.00 and the critical value 40.29.
D) No, comparing the test value 18.33 and the critical value 40.29.

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Are the following statements H0:μ6HA:μ19\mathrm { H } _ { 0 } : \mu \geq 6 \mathrm { H } _ { \mathrm { A } } : \mu \leq 19 a valid pair of null and alternative hypotheses?


A) No, there are no parameters contained in these statements
B) No, the alternative hypothesis cannot contain numeric values
C) No, these statements have overlapping regions
D) No, these statements both compare a parameter to a value

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Which of the following is true?


A) The smaller the P-value, the stronger is the evidence against the null hypothesis.
B) For fixed sample size, increasing the alpha error increases the beta error.
C) If the type I error is held constant, increasing the sample size increases the type II error.
D) The power of a test equals a + b.

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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. Is there evidence that the costs of homes for sale in this subdivision are actually lower than claimed? -What is the p-value for a one-sided test of the data provided above?


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

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Using the z table in Table E of Appendix C, determine the critical value for the left-tailed test with α=\alpha = 0.02.


A) 2.33
B) 2.05
C) -2.33
D) -2.05

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Sam Ying, a career counsellor, 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 years and a standard deviation of 1.5 years. The test value would be -2.68.

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Stating the hypothesis is the first step used in hypothesis testing.

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An average computer mouse inspector can inspect 40 mice per hour. The 46 computer mice inspectors at a particular factory can only inspect 36 mice per hour with a standard deviation of 8. Does the company Have reason to believe that these inspectors are slower than average?


A) Yes, because -3.39 falls in the noncritical region
B) No, because -1.95 falls in the critical region
C) Yes, because -3.39 falls in the critical region
D) No, because -1.95 falls in the noncritical region

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It has been claimed that at a certain university at least 40% of the students live on campus. From a sample of 250 students, 90 live on campus. Does the evidence support this claim at α=0.01\alpha = 0.01 ?

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blured image The claim that at least 40% o...

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If the null hypothesis is not rejected when it is false, a type II error has been committed.

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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. Is there evidence that the costs of homes for sale in this subdivision are actually lower than claimed? -An average department store sells 200 men's suits per year. The men's suit departments at a particular national chain of stores claim that they more than the industry average. In a sample of 50 stores, they Sold, on the average, 280 suits per year with a standard deviation of $40. What is the test statistic for this Hypothesis?


A) 0.28
B) 2.00
C) 8.07
D) 14.14

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The average speed of greyhound dogs is about 18.9 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 40 of her dogs, they ran, on the Average, 19.4 meters per second with a standard deviation of 1.4. Is her claim correct?


A) Yes, because 0.06 falls in the critical region
B) No, because 0.06 falls in the critical region
C) Yes, because 2.26 falls in the critical region
D) No, because 0.5 falls in the critical region

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