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Chapter 9: Q 1.3. (page 570)

For the job satisfaction study described in Section 9.1, the hypotheses are

H0∶μ=0Ha:μ≠0

where μis the mean difference in job satisfaction scores (self-paced -machine-paced) in the population of assembly-line workers at the company. Data from a random sample of 18workers gave x=17and sx=60

Now use your calculator to find the P-value as described in the Technology Corner. Is your result consistent with the value you obtained in Question 2?

Short Answer

Expert verified

The P-value is 0.221

Step by step solution

01

Given information

Degree of freedom (df)=17

Test statistic (t)=1.27

02

Concept

test statistic = statisticparameterstandarddeviationofstatistic

03

Calculation

The P-value technology can be computed as:

The above value is for one-tailed.

The P-value for two-tailed can be calculated as: P−value=2×0.1105=0.221

Here, also the P-value is 0.221

Thus, it could be said that the obtained P-value is matching to the value that has been computed in the previous problem.

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Most popular questions from this chapter

The reason we use tprocedures instead of zprocedures when carrying out a test about a population mean is that

(a) zcan be used only for large samples.

(b)zrequires that you know the population standard deviation σ.

(c) zrequires you to regard your data as an SRS from the population.

(d) zapplies only if the population distribution is perfectly Normal.

(e) zcan be used only for confidence intervals.

Which of the following 95% confidence intervals would lead us to reject H0:p=0.30in favor of Ha:p≠0.30at the 5% significance level?

(a) (0.29, 0.38) (c) (0.27, 0.31) (e) None of these

(b) (0.19, 0.27) (d) (0.24, 0.30)

Refer to Exercise 80. Construct and interpret a 95% confidence interval for the population mean M. What additional information does the confidence interval provide?

Fonts and reading ease Does the use of fancy type fonts slow down the reading of text on a computer screen? Adults can read four paragraphs of text in the common Times New Roman font in an average time of 22seconds. Researchers asked a random sample of 24adults to read this text in the omate font named Gigi. Here are their times, in seconds:

23.221.228.927.729.127.316.122.625.634.223.926.8
20.534.321.432.626.234.131.524.623.028.624.428.1

Do these data provide good evidence that the mean reading time for Gigi is greater than 22seconds? Carry out an appropriate test to help you answer this question.

- Use a confidence interval to draw a conclusion for a two-sided test about a population mean.

Does Friday the 13thhave an effect on people's behavior? Researchers collected data on the numbers of shoppers at a sample of 45different grocery stores on Friday the 6thand Friday the 13thin the same month. The dotplot and computer output below summarize the data on the difference in the number of shoppers at each store on these two days (subtracting in the order 6thminus 13th).

Researchers would like to carry out a test of H0:μd=0versus Hα:μd≠0, where μdis the true mean difference in the number of grocery shoppers on these two days. Which of the following conditions for performing a paired ttest is not met?

1. Random

II. Normal

III. Independent

(a) I only

(b) II only

(c) III only

d) I and II only

(e) I, II, and III
See all solutions

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