1. What is the value of the population mean? What is the best estimate of this value?

Ch 9; #12 – The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.

1.      What is the value of the population mean? What is the best estimate of this value?

2.      Explain why we need to use the t distribution. What assumption do you need to make?

3.      For a 90 percent confidence interval, what is the value of t?

4.      Develop the 90 percent confidence interval for the population mean.

5.      Would it be reasonable to conclude that the population mean is 63 pounds?

#28 – A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test the weight of the boxes, a few were checked. The mean weight was 20.4 pounds, the standard deviation 0.5 pounds. How many boxes must the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?

Ch 10 #6: The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute. The quality-assurance department found in a sample of 50 customers at the Warren Road MacBurger that the mean waiting time was 2.75 minutes. At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?

#18  The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?

 

 

 

 

 

Ch 11 #24

Statistic Men Women Mean
24.51
22.69
Standard deviation
4.48
3.86
Sample size
35
40

 

Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed that the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level, is the number of units produced on the afternoon shift larger?

 

#38

Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming America’s Cup race. They race over a part of the course several times. Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?

Boat	Times (minutes)
Prada (Italy)	12.9	12.5	11	13.3	11.2	11.4	11.6	12.3	14.2	11.3
Oracle (U.S.A.)	14.1	14.1	14.2	17.4	15.8	16.7	16.1	13.3	13.4	13.6	10.8	19

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Ch 12 #30

There are four auto body shops in a community and all claim to promptly serve customers. To check if there is any difference in service, customers are randomly selected from each repair shop and their waiting times in days are recorded. The output from a statistical software package is:

Summary
Groups	Count	Sum	Average	Variance
Body Shop A	3	15.4	5.1333	0.32333
Body Shop B	4	32	8	1.43333
Body Shop C	5	25.2	5.04	0.748
Body Shop D	4	25.9	6.475	0.59583
ANOVA
Source of Variation	SS	df	MS	F	p-value
Between Groups	23.37	3	7.7911	9.61251	0.002
Within Groups	9.726	12	0.8105
Total	33.1	15

Is there evidence to suggest a difference in the mean waiting times at the four body shops? Use the .05 significance level.

 

Ch 15 #12

For many years TV executives used the guideline that 30 percent of the audience were watching each of the prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 500 viewers in the Tampa–St. Petersburg, Florida, area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140 to the CBS affiliate, 125 to the NBC affiliate, and the remainder were viewing a cable station. At the .05 significance level, can we conclude that the guideline is still reasonable?

 

 

 

 

 

  

#26

A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs revealed the following sample information. At the .01 significance level, is there a relationship between job pressure and age?

Degree of Job Pressure
Age (years)	Low	Medium	High
Less than 25	20	18	22
25 up to 40	50	46	44
40 up to 60	58	63	59
60 and older	34	43	43