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Chapter 9: Q. 38 (page 394)

The normal probability curve and stem-to-leaf diagram of the data are shown in figure; 蟽is known.

Perform Hypothesis test for mean of the population from which data is obtained and decide whether to use z-test, t-test or neither. Explain your answer.

Short Answer

Expert verified

Neither test (z-test or t-test) would be used. But, some statistician would be used z-test because the population standard deviation is known.

Step by step solution

01

Step 1. Given Information 

02

Step 2. Consulting plots

From the given plots, it is observed that the distribution of the data is not approximately normally distributed.

03

Step 3. Explanation

Since the distribution of the data is not normally distributed and the sample size is small, neither test (z-test or t-test) would be used. But, some statistician would be used z-test because the population standard deviation is known.

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Most popular questions from this chapter

Serving Time. According to the Bureau of Crime Statistics and Research of Australia, as reported on Lawlink, the mean length of imprisonment for motor-vehicle theft offenders in Australia is 16.7 months. One hundred randomly selected motor-vehicle-theft offenders in Sydney, Australia, had a mean length of imprisonment of 17.8 months. At the5% significance level, do the data provide sufficient evidence to conclude that the mean length of imprisonment for motor-vehicle theft offenders in Sydney differs from the national mean in Australia? Assume that the population standard deviation of the lengths of imprisonment for motor-vehicle-theft offenders in Sydney is 6.0 months.

9.128 Two-Tailed Hypothesis Tests and CIs. The following relationship holds between hypothesis tests and confidence intervals for one-mean t-procedures: For a two-tailed hypothesis test at the significance level 伪, the null hypothesis H0:渭=渭0will be rejected in favor of the alternative hypothesis H2:渭>渭0if and only if 渭0lies outside the (1-伪)-level confidence interval for 渭. In each case, illustrate the preceding relationship by obtaining the appropriate one-mean t-interval (Procedure 8.2 on page 338 ) and comparing the result to the conclusion of the hypothesis test in the specified exercise.
a. Exercise 9.113
b. Exercise 9.116

The normal probability curve and stem-to-leaf diagram of the data are shown in figure; 蟽is unknown.

Perform Hypothesis test for mean of the population from which data is obtained and decide whether to use z-test, t-test or neither. Explain your answer.

The normal probability curve and histogram of the data are shown in figure; 蟽is unknown.

Perform Hypothesis test for mean of the population from which data is obtained and decide whether to use z-test, t-test or neither. Explain your answer.

As we mentioned on page 378, the following relationship holds between hypothesis test and confidence intervals for one-mean z-procedures: For a two-tailed hypothesis test at the significance level 伪, the null hypothesis role="math" localid="1653038937481" H0:渭=渭0will be rejected in favor of the alternative hypothesis Ha:渭鈮�渭0if and only if 渭0lies outside the 1-伪-level confidence interval for 渭. In each case, illustrate the preceding relationship by obtaining the appropriate one-mean z-interval and comparing the result to the conclusion of the hypothesis test in the specified exercise.

Part (a): Exercise 9.84

Part (b): Exercise9.87
See all solutions

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