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Chapter 9: Q. 32 (page 394)

The normal probability curve and histogram 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

z-test is used

Step by step solution

01

Step 1. Given Information 

02

Step 2. Consulting plots

Normal probability plot:

The distribution of the data is not approximately normally distributed because the points are not closer the line.

Histogram:

The distribution of the data is skewed to right with outlier.

03

Step 3. Explanation

In this situation, the z-test should be appropriate because the population standard deviation known and sample size is large

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Most popular questions from this chapter

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.

The Federal Bureau of Investigation (FBI) compiles information on robbery and property crimes by type and selected characteristic and publishes its finding in Uniform Crime Reports. According to that document, the mean value lost to purse snatching was \(468 in 2012.For last year, 12 randomly selected purse-snatching offenses yielded the following values lost, to the nearest dollar.

Use a t-test tp decide, at the 5%significance level, whether last year's mean value lost to purse snatching has decreased from 2012 mean. The mean and standard deviation of the data are \)455 and $86.80 respectively.

In each of Exercises 9.41-9.46 ,determine the critical values for a one-mean z-test. For each exercise, draw a graph that illustrates your answer

A left - tailed test with伪=0.01

Data on salaries in the public school system are published annually in Ranking of the States and Estimates of School Statistics by the National Education Association. The mean annual salary of (public) classroom teachers is $55.4thousand. A hypothesis test is to be performed to decide whether the mean annual salary of classroom teachers in Ohio is greater than the national mean.

Beef Consumption. According to Food Consumption, Prices,\and Expenditures, published by the U.S. Department of Agriculture. the mean consumption of beef per person in 2011 was 57.5 lb. A sample of 40 people taken this year yielded the data, in pounds, on last year's beef consumption given on the Weiss Stats site. Use the technology of your choice to do the following.

a. Obtain a normal probability plot, a boxplot, a histogram, and a stem-and-leaf diagram of the data on beef consumptions.

b. Decide, at the 5% significance level, whether last year's mean beef consumption is less than the 2011 mean of 57.5 lb. Apply the one mean t-test.

c. The sample data contain four potential outliers: 0, 0, 0, and 13.Remove those four observations, repeat the hypothesis test in part (b), and compare your result with that obtained in part (b).

d. Assuming that the four potential outliers are not recording errors, comment on the advisability of removing them from the sample data before performing the hypothesis test.

e. What action would you take regarding this hypothesis test?
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