Reference no: EM131042088

Instructions:

1) Show your work. For calculator problems, record the command(s) youused.

2) Do your calculations using formulas unless otherwiseindicated.

3) You may assume that all samples are simple randomsamples.

1. The beverages ordered by a sample of customers at a restaurant is given in thechart.

Beverage	Pop    Beer     Wine     Coffee     Tea
Number	31       8          10           25          6

a. Find the test statistic you would use to test the claim that the different beverage types areordered with the samefrequency.

b. With .05 significance, test the claim that the proportion of orders of pop, beer, wine, coffee andtea are .40, .10, .10, .20 and .20, respectively. Useformula/chart.

2. The credit scores for a sample of residents in 3 different suburbs is given in thetable.

SuburbA	312    325    336    400    720    738    801    813
SuburbB	630    655    683    692    702    712    715    726    728    732    733
SuburbC	519    528    543    740    752    783    791    802

a. Use your calculator to test the claim that the mean credit score for all three suburbs is thesame.

Use .10 significance. You may assume that the population distributions are approximatelynormal.

b. With .05 significance, test the claim that the median credit score in suburb B is 655. Use theSign Test.

3. A sample of college students took a math test. The grade and amount of sleep had the previousnight are recorded in thetable.

A	B	C	D	F
Less than 7 Hours ofSleep	3	6	17	15	10
7 or More Hours ofSleep	10	25	32	6	2

a. Calculate the expected value of the cell with less than 7 hours of sleep and an "A" on the exam.Use aformula.

b. Use your calculator to test the claim that sleep and test grade are independent with .05significance.

4. The monthly savings amount for a sample of people before and after attending a financialplanning seminar in given in thechart.

Before	500    815    625      0      1050    160    35    230    980
After	550    750    610     25     1050    210    50    240    930

Use the Wilcoxon Signed-Ranks test to test the claim that the matched pairs have differences thatcome from a population with a median equal to zero. Use .05significance.

5. In a sample of 8 houses in a subdivision, 2 have holiday decorationsdisplayed.

a. With .05 significance, test the claim that fewer than half of the houses in the subdivisionhave holiday decorationsdisplayed.

b. Why can't we use the hypothesis test described in section 8-3 for thisproblem?

c. With .05 significance, test the claim that more than half of the houses in the subdivision haveholiday decorations displayed. (Hint: Read pages 639 and 640 in your book verycarefully.)

d. Find the test statistic (from chapter 13) you would use to test the claim that fewer than half ofthe houses have decorations if there are 15 houses with decorations in a sample of 41 houses. Donot perform thetest.