Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260788785
Author: Lind, Douglas
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 12, Problem 12E
The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment means are equal at the .05 significance level.
- a. State the null hypothesis and the alternate hypothesis.
- b. What is the decision rule?
- c. Compute SST, SSE, and SS total.
- d. Complete an ANOVA table.
- e. State your decision regarding the null hypothesis.
- f. If H0 is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95% level of confidence.
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Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity
(Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows.
Current Year
1,394
1,700
Occupied Rooms
Total Rooms
a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the
one-year period.
Let p₁ = population proportion of rooms occupied for current year
P2 = population proportion of rooms occupied for previous year
0.82
Previous Year
1,404
1,800
Ho: P1 P2 less than or equal to 0
Ha P₁ P2 greater than 0
b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?
Current year
Previous Year
c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.
0.78
Given the accompanying null hypothesis, alternative hypothesis, and sample information, complete parts a and b below.
Sample 2
n, = 21
Sample 1
n, = 11
HA
s = 1,468
s5 = 1,303
a. If a = 0.01, state the decision rule for the hypothesis.
(Round to two decimal places as needed.)
O A. If the calculated test statistic F=
reject Ho, otherwise do not reject Ho
O B. If the calculated test statistic F, reject Ho, otherwise do not reject Ho-
O C. If the calculated test statistic F>
reject Ho, otherwise do not reject Ho.
O D. If the calculated test statistic F<
reject Ho, otherwise do not reject Ho.
b. Test the hypothesis and indicate whether the null hypothesis should be rejected.
Determine the test statistic.
F= (Round to two decimal places as needed.)
Chapter 12 Solutions
Statistical Techniques in Business and Economics
Ch. 12 - Steele Electric Products Inc. assembles cell...Ch. 12 - What is the critical F value when the sample size...Ch. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Prob. 4ECh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 2SRCh. 12 - Prob. 7ECh. 12 - Prob. 8E
Ch. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - Prob. 3SRCh. 12 - Prob. 11ECh. 12 - The following are six observations collected from...Ch. 12 - Prob. 13ECh. 12 - Prob. 14ECh. 12 - Prob. 4SRCh. 12 - Prob. 15ECh. 12 - For exercises 15 and 16, conduct a test of...Ch. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 5SRCh. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Prob. 22ECh. 12 - Prob. 23CECh. 12 - Prob. 24CECh. 12 - Prob. 25CECh. 12 - Prob. 26CECh. 12 - In an ANOVA table, the MSE is equal to 10. Random...Ch. 12 - Prob. 28CECh. 12 - Prob. 29CECh. 12 - Prob. 30CECh. 12 - Prob. 31CECh. 12 - Prob. 32CECh. 12 - Prob. 33CECh. 12 - Prob. 34CECh. 12 - Prob. 35CECh. 12 - Prob. 36CECh. 12 - Prob. 37CECh. 12 - Prob. 38CECh. 12 - Prob. 39CECh. 12 - Prob. 40CECh. 12 - Prob. 41CECh. 12 - Prob. 42CECh. 12 - Prob. 43CECh. 12 - Prob. 44CECh. 12 - Prob. 45CECh. 12 - Prob. 46CECh. 12 - Prob. 47CECh. 12 - Prob. 48CECh. 12 - Prob. 50DACh. 12 - Prob. 51DACh. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 1CCh. 12 - Prob. 2CCh. 12 - Prob. 1.1PTCh. 12 - The likelihood of rejecting a true null hypothesis...Ch. 12 - Prob. 1.3PTCh. 12 - Prob. 1.4PTCh. 12 - Prob. 1.5PTCh. 12 - Prob. 1.6PTCh. 12 - In a two-tailed test, the rejection region is...Ch. 12 - Prob. 1.8PTCh. 12 - Prob. 1.9PTCh. 12 - Prob. 1.10PTCh. 12 - Prob. 2.1PTCh. 12 - Prob. 2.2PTCh. 12 - Prob. 2.3PT
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