17 Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information.Sales (\$) 131 135 146 165 136 142Audit (\$) 130 102 129 143 149 120 139At the .10 significance level can she conclude that the mean daily expenses are greater for the sales staff than the audit staff? What is the p-value?
23. The null and alternate hypotheses are:
H0: d 0
H1: d> 0
The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month.
Chart 1: Defective units
Day
1 2 3 4
Day shift
10
12
15
19
Afternoon shift
8
9
12
15
At the .05 significance level can we conclude there are more defects produced on the afternoon shift?
25. The management of Discount Furniture a chain of discount furniture stores in the Northeast designed an incentive plan for salespeople. To evaluate this innovative plan 12 salespeople were selected at random and their weekly incomes before and after the plan were recorded.Salesperson Before AfterSid Mahone 320 340Carol Quick 290 285Tom Jackson 421 475Andy Jones 510 510Jean Sloan 210 210Jack Walker 402 500Peg Mancuso 625 631Anita Loma 560 560John Cuso 360 365Carl Utz 431 431A. S. Kushner 506 525Fern Lawton 505 619Was there a significant increase in the typical salesperson’s weekly income due to the innovative incentive plan? Use the .05 significance level. Estimate the p-value and interpret it.
45. The Willow Run Outlet Mall has two Haggar Outlet Stores one located on Peach Street and the other on Plum Street. The two stores are laid out differently but both store managers claim their layout maximizes the amounts customers will purchase on impulse. A sample of 10 customers at the Peach Street store revealed they spent the following amounts more than planned: \$17.58 \$19.73 \$12.61 \$17.79 \$16.22 \$15.82 \$15.40 \$15.86 \$11.82 and \$15.85. A sample of 14 customers at the Plum Street store revealed they spent the following amounts more than they planned: \$18.19 \$20.22 \$17.38 \$17.96 \$23.92 \$15.87 \$16.47 \$15.96 \$16.79 \$16.74 \$21.40 \$20.57 \$19.79 and \$14.83.State the decision rule at the .01 significance level; is there a difference in the mean amounts purchased on impulse at the two stores?
47. Commercial Bank and Trust Company is studying the use of its automatic teller machines (ATMs). Of particular interest is whether young adults (under 25 years) use the machines more than senior citizens. To investigate further samples of customers under 25 years of age and customers over 60 years of age were selected. The number of ATM transactions last month was determined for each selected individual and the results are shown below.
(Under 25) 10 10 11 15 7 11 10 9(Over 60) 4 8 7 7 4 5 1 7 4 10 5
At the .01 significance level can bank management conclude that younger customers use ATMs more?
49. The manufacturer of an MP3 player wanted to know whether a 10 percent reduction in price is enough to increase the sales of the product. To investigate the owner randomly selected eight outlets and sold the MP3 player at the reduced price. At seven randomly selected outlets the MP3 player was sold at the regular price. Reported below is the number of units sold last month at the sampled outlets.Chart 2: MP3 player prices
51. Lester Hollar is vice president for human resources for a large manufacturing company. In recent years he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago in an attempt to improve the situation he began a fitness program in which employees exercise during their lunch hour. To evaluate the program he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results. At the .05 significance level can he conclude that the number of absences has declined? Estimate the p-value.Employee Before After1 6 52 6 23 7 14 7 35 4 36 3 67 5 38 6 7
55. An investigation of the Effectiveness of an antibacterial soap in reducing operating room contamination resulted in the accompanying table. The new soap was tested in a sample of eight operating rooms in the greater Seattle area during the last year.
11. Given the following sample information test the hypothesis that the treatment means are equal at the .05 significance level.
13. A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to MINITAB with the following results:
28. The following is a partial ANOVA table.
Chart 7: ANOVA
Source
Sum of Squares
Df
Mean Square
F
Treatment
320
2
160
8
Error
180
9
20
Total
500
11
Complete the table and answer the following questions. Use the .05 significance level.1. How many treatments are there? 32. What is the total sample size? 12
3. What is the critical value of F? 4.26
4. Write out the null and alternate hypotheses. Ho 0.05 Ha > 0.055. What is your conclusion regarding the null hypothesis? Cannot reject the Ho. p value >0.05
29. A consumer organization wants to know if there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount toy stores five variety stores and five department stores. The results are shown below. Use the .05 significance level.