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Chapter 9: Q. 34 (page 394)

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

Short Answer

Expert verified

Neither test (z-test or t-test) would be used. But, some statistician would be used t-test because the population standard deviation is unknown and the sample size small.

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 t-test because the population standard deviation is unknown and the sample size small.

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Most popular questions from this chapter

Refer to Exercise 9.16. Explain what each of the following would mean.

(a) Type I error.

(b) Type II error.

(c) Correct decision.

Now suppose that the results of carrying out the hypothesis test lead to the rejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean lactation period of grey seals.

(d) equals 23 days.

(e) differs from 23 days.

Define theP- value of the hypothesis test.

College Basketball and particularly the NCAA basketball tournament is a popular venue for gambling, from novices in office betting pools to high rollers. To encourage uniform betting across teams. Las Vegas oddsmakers assign a point spread to each game. The point spread is the oddsmakers prediction for the number of points by which the favored team will win. If you bet on the favorite, you win the bet provided the favorite wins by more than the point spread; otherwise you lose the bet. Is the point spread a good measure of the relative ability of the two teams? They obtained the difference between the actual margin of victory and the point spread, called the point-spread error for \(2109\) college basketball games. The mean-point spread error was found to be \(-0.2\) point with a standard deviation of \(10.9\) points. For a particular game, a point spread error of \(0\) indicates that the point was a perfect estimate of the two teams relative abilities.

a. If on average the oddsmakers are estimating correctly, what is the (population) mean point-spread error?

b. Use the data to decide, at the \(5%\) significance level, whether the (population) mean point-spread error differs from \(0\).

c. Interpret your answers in part (b).

The normal probability curve and stem-and-leaf diagram of the data are shown in figure; σis 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.

Determine the critical value(s) for a one-mean z-test at the 1 % significance level if the test is

a. right tailed.

b. left tailed.

c. two tailed.
See all solutions

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