Q: Which of the following best describes a two-tailed hypothesis test?

A test where the alternative hypothesis is $$H_1$$: \mu \neq \$$mu_0$$

Q: Suppose a researcher wants to test if a new medicine changes the average recovery time from a disease. Which is the correct set of hypotheses?

$$H_0$$: \mu = \$$mu_0$$, $$H_1$$: \mu \neq \$$mu_0$$

Question 1

Which of the following best describes the null hypothesis ($$H_0) $$for the baseball bounce height test described in the study materials?

Accepted Answer

$$H_0$$: \mu = 92.84$$

Question 2

Given a sample mean $$\bar{x} = 92.67$$, population mean $$\mu_0$ = 92.84$$, sample standard deviation $$s = 1.79$$, and sample size $$n = 40$$, what is the correct formula for the test statistic $$t$$?

Accepted Answer

$$t = \frac{\bar{x} - \mu_0$}{s/\sqrt{n}}$$

Question 3

What is the calculated value of the test statistic $$t$$ for the baseball bounce height test?

Accepted Answer

$$t = -0.601$$

Question 4

If the significance level $$\alpha = 0.05$$ and the P-value is $$0.5515$$, what is the correct conclusion for the hypothesis test?

Accepted Answer

Fail to reject $$H_0$$ because the P-value is greater than $$\alpha$$

Question 5

Which of the following statements is supported by the results of the baseball bounce height test?

Accepted Answer

There is not enough evidence to support the claim that the new balls have a different mean bounce height.

Question 6

Which of the following best describes a two-tailed hypothesis test?

Accepted Answer

A test where the alternative hypothesis is $$H_1$$: \mu 
eq \$$mu_0$$

Question 7

Suppose a researcher wants to test if a new medicine changes the average recovery time from a disease. Which is the correct set of hypotheses?

Accepted Answer

$$H_0$$: \mu = \$$mu_0$$, $$H_1$$: \mu 
eq \$$mu_0$$

Question 8

Which of the following is a correct interpretation of a P-value?

Accepted Answer

The probability of obtaining a test statistic as extreme as the observed one, assuming $$H_0 is $$true.

Question 9

A company claims their batteries last 100 hours on average. A sample of 25 batteries has a mean of 98 hours and a standard deviation of 5 hours. What is the test statistic for testing $$H_0$$: \mu = 100$$?

Accepted Answer

$$t = \frac{98 - 100}{5/\sqrt{25}}$$

Question 10

If a hypothesis test results in a P-value of 0.03 and $$\alpha = 0.05$$, what should you conclude?

Accepted Answer

Reject $$H_0$$ because the P-value is less than $$\alpha$$

Question 11

Which of the following is NOT a step in hypothesis testing as described in the study materials?

Accepted Answer

Calculate the sample variance.

Question 12

Why is the sample standard deviation ($$s) $$used instead of the population standard deviation ($$\sigma) in $$the test statistic formula for the baseball example?

Accepted Answer

Because the population standard deviation is unknown.

Question 13

A researcher performs a hypothesis test and obtains a P-value of 0.12. If $$\alpha = 0.10$$, what is the correct decision?

Accepted Answer

Fail to reject $$H_0$$

Question 14

Which of the following scenarios would require a two-tailed test?

Accepted Answer

Testing if a new teaching method results in a different average score (higher or lower) compared to the traditional method.

Question 15

If the sample size increases while all other factors remain the same, what happens to the standard error in the test statistic formula?

Accepted Answer

The standard error decreases.

Hypothesis Testing for One Sample Mean: Step-by-Step Guide

Study Guide - Practice Questions

Study Guide - Flashcards