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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’s office varies. The standard deviation of waiting times in a doctor’s office is 3.4 minutes. A random sample of 30 patients in the doctor’s 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 α=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

use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places car manufacturers are interested in whether there is a relationship between the size of the car an individual drives and the number of people in the driver’s family (that is, whether car size and family size are independent).To test this, suppose that 800car owners were randomly surveyed with the results in Table 11.44. Conduct a test of independence.

Family SizeSub & CompactMid-sizeFull-sizeVan & Truck
1
20
35
40
35
2
20
50
70
80
3-4
20
50
100
90
5+
20
30
70
70

Table 11.44

Suppose an airline claims that its flights are consistently on time with an average delay of at most 15minutes. It claims that the average delay is so consistent that the variance is no more than 150minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25flights. The average delay for those 25flights is 22minutes with a standard deviation of 15minutes.

If an additional test were done on the claim of the average delay, but 45 flights were surveyed, which distribution would you use?

Use the following information to answer the next nine exercise: The following data are real. the cumulative number of AIDS cases reported for Santa Clary Country is broken down by ethnicity as in table 11.29

The percentage of each ethnic group in Santa Clary Country is as in Table shown below

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Perform a goodness-of-fit test to determine whether the occurance of AIDS cases follows the ethnicities of the general population of Santa Clary Country

Read the statement and decide whether it is true or false.

In a goodness of fit test, if the p-value is 0.0113, in general, do not reject the null hypothesis

Isabella, an accomplished Bay to Breakers runner, claims that the standard deviation for her time to run the 7.5mile race is at most three minutes. To test her claim, Rupinder looks up five of her race times. They are 55minutes, 61minutes, 58minutes, 63 minutes, and 57 minutes.

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