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Chapter 11: Q.68 (page 658)

What can you conclude at the 5% significance level ?

Short Answer

Expert verified

We cannot reject the null hypothesis. There is enough evidence to conclude that the standard deviation is greater than 3.4.

Step by step solution

01

Given Information

The average waiting time in a doctor鈥檚 office varies. The standard deviation of waiting times in a doctor鈥檚 office is 3.4 minutes. A random sample of 30 patients in the doctor鈥檚 office has a standard deviation of waiting times of 4.1 minutes.

02

Explanation

We have to find what can we conclude at the 5%significance level :

The p-value result was 0.0542. Since we are given 伪=0.05and

0.05<0.0542=p.

According to the information, we cannot reject null hypothesis. There is enough evidence to conclude that the standard deviation is greater than 3.4.

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Most popular questions from this chapter

The standard deviation of heights for students in a school is 0.81. A random sample of 50students is taken, and the standard deviation of heights of the sample is 0.96. A researcher in charge of the study believes the standard deviation of heights for the school is greater than 0.81.

What type of test should be used?

A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in Table. Conduct a test of homogeneity. Test at a 5%level of significance.

OpenConscientiousExtrovertAgreeableNeuroticBusiness4152466158Social Science7275638065

The Bureau of Labor Statistics gathers data about employment in the United States. A sample is taken to calculate the number of U.S. citizens working in one of several industry sectors over time. Table 11.17 shows the results:

Industry Sector200020102020TotalNonagriculture wage and salary13,24313,04415,01841,305Goods-producing, excluding agriculture2,4571,7711,9506,178Services-providing10,78611,27313,06835,127Agriculture, forestry, fishing, and hunting240214201655Nonagriculture self-employed and unpaid family worker9318949722,797Secondary wage and salary jobs in agriculture and private householdindustries14111136Secondary jobs as a self-employed or unpaid family worker196144152492Total27,86727,35131,37286,590

We want to know if the change in the number of jobs is independent of the change in years. State the null and alternative hypotheses and the degrees of freedom .

According to Dan Lenard, an independent insurance agent in the Buffalo, N.Y. area, the following is a breakdown of the amount of life insurance purchased by males in the following age groups. He is interested in whether the age of the male and the amount of life insurance purchased are independent events. Conduct a test for independence.

Age of MalesNone<\(200,000\)200,000-\(400,000\)401,001-\(1,000,000\)1,000,001+20-294015400530-3935520201040-4920030153050+403015010

A marathon runner is interested in the relationship between the brand of shoes runners wear and their run times. Sh
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