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Exam 9: One-Sample T-Test

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Question 1

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A population has a known mean of 50. A researcher believes that a particular treatment will increase scores and conducts a one-sample t test. What is the null hypothesis?

A) H₀: μ = 50
B) H₀: μ ≠ 50
C) H₀: μ ≥ 50
D) H₀: μ ≤ 50

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D

Question 2

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A new medication shows promising results in reducing the intensity of symptoms in people who suffer from depression. The population mean on a depression inventory is 25. A one-sample t test is administered to a sample of subjects taking the medication. What is the alternative hypothesis?

A) H₁: μ = 25
B) H₁: μ ≠ 25
C) H₁: μ < 25
D) H₀: μ ≤ 25

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Question 3

Multiple Choice

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Given a sample size of 48, the df for a one-sample t test would be _________.

If the population standard deviation is not known, which statistical test should be used?

Given a t_crit = -2.08, which of the following obtained t-values will reject H₀?

Which of the following statements is true regarding the t-distribution?

When would you use a one-sample t test rather than a z-test?

In comparison to the normal distribution, as df increase, the t-distribution

A population has a known mean of 62. A researcher implements a new treatment to a sample to determine if it has an effect on the dependent variable. What is the null hypothesis?

A researcher is conducting a one-sample t test to see if a particular intervention has any effect on the dependent variable. Alpha is .05 and n = 18. What is t_crit?

Which of the following is not one of the assumptions for a one-sample t test?

Determine t_crit for the following situations and decide if H₀ should be rejected. For the one-tailed tests, assume that the researcher is looking for score increases. $\begin{array}{lcccc}&&&\text { One-or Two- }\\&\underline {\text { df } }&\alpha &\underline {\text { Tailed Test }}& t_{\text { obt }}\\a. & 14 &. 01 & \text { One-tailed} & 2.61\\b. &29&.01& \text { Two-tailed} &2.83 \\c. & 5&.05& \text { One-tailed} & 2.20 \\d. &19 &.05 & \text { Two-tailed }&1.98 \\\end{array}$

A population mean is 45. A one-sample t test is conducted with n = 9 subjects and results in a sample mean of 48 with a s = 5. What is t_obt?

Which of the following is NOT needed in order to use the one-sample t test?

Describe two potential problems which would make the following conclusion problematic: "The medication had no significant effect. Reject H₀, t(32) = +1.92, p > .05."

The population mean on a standardized math test is 75. A tutoring program is implemented at a local college to determine if the math scores would improve as a result. A one-sample t test is conducted. What is the alternative hypothesis?

A one-sample t test was conducted which resulted in a significant effect. The sample mean was 95 based on a sample size of n = 25. The population mean was 90 with an estimated standard deviation of 8.42. What was Cohen's d effect size?

A population has a known mean of 65. A one-sample t test is conducted to determine if a treatment will influence scores on the dependent variable. What is the alternative hypothesis?

Given s = 8 and n = 32, calculate the standard error of the mean.

Given a t_crit = ±2.94, which of the following obtained t-values will reject the H₀?