B (a) A movie theater is interested in seeing if female or males, on average, attend the movies a different amount. What is the hypothesis test to be done? (Use u, - H,, where u, is males and u, is females.) O Ho: Hq = Hz O Ho: H, = 0.25 H1: H, = 0.75 O Ho: Hq = H2 O Ho: Hq> Hz B (b) Assume the population variances for the two samples are equal (then df = n1 + n2 - 2). Find the t-statistic, critical value, and the p-value associated with the hypothesis test at the 90% confidence level. (Round your t-statistic and p-value to four decimal places. Round your critical value to three decimal places.) (Use 4, - Hz, where 4, is males and #z is females.) t-statistic critical value p-value B (c) At a 90% confidence level, should the null hypothesis be accepted or rejected? Fill in the blanks. The null hypothesis should -Select--- . The number of times, on average, that females and males attend the movies each year ---Select-- V statistically different. O (d) Assume the population (all people) standard deviation is known to be four movies per year each for males and females. What are the new test statistic and critical value for a 90% confidence level? (Round your answers to three decimal places.) test statistic critical value You may need to use the appropriate table in the Appendix of Tables to answer this question.

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Oneway Analysis of Movies in Last Year By Gender
Oneway Analysis of Movies in Last Year By Gender
Pooled t Test
25
Summary of Fit
Rsquare
0.053085
Adj Rsquare
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
0.028188
4.658185
9.025
40
10-
t Test
M-F
Assuming equal variances
M
Difference
2.1500 t Ratio
1.459559
Gender
Std Err Dif
1.4730
DF
38
Upper CL Dif
5.1320 Prob > |E|
0.1526
Lower CL Dif -0.8320 Prob > t
0.0763
Pooled t Test
Confidence
0.95 Prob <t
0.9237
Summary of Fit
Analysis of Variance
Rsquare
0.053085
Source DF Sum of Squares Mean Square F Ratio
Adj Rsquare
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
0.028188
4.658185
Gender
1
46.22500
46.2250 2.1303
9.025
Error
38
824.55000
21.6987
40
C. Total 39
870.77500
t Test
Means for Oneway Anova
M-F
Level Number
Mean Std Error Lower 95% Uppe
Assuming equal variances
20
8.8500
1.0416
6.7414
M
20 11.0000
1.0418
8.8014
2.1500 t Ratio
1.4730 DF
4.6335 Prob > |t|
Difference
1.459559
Std Err Dif
38
Std Error uses a pooled estimate of error variance
Upper CL Dif
0.1526
Lower CL Dif -0.3335 Prob >t
0.0763
t Test
Confidence
0.9 Prob <t
0.9237
-2
M-F
Assuming unequal variances
2.1500 t Ratio
1.4730 DF
5.1325 Prob > |E|
Difference
1.459550
Analysis of Variance
Std Err Dif
37.80348
Upper CL Dif
0.1527
Source
DF Sum of Squares Mean Square FRatio Prob >F
Lower CL Dif -0.8325 Prob > t
0.0763
Gender
1
46.22500
46.2250 2.1303
0.1526
Confidence
0.95 Prob <t
0.9237
Error
38
824.55000
21.6987
C. Total
39
870.77500
Means for Oneway Anova
Level Number
Mean Std Eror Lower 90% Upper 90%
20
8.8500
1.0416
7.0939
10.608
M
20 11.0000
1.0416
9.2439
12.750
Std Error uses a pooled estimate of error variance
t Test
M-F
Assuming unequal variances
2.1500 t Ratio
1.4730 DF
4.6338 Prob > |t|
Lower CL Dif -0.3338 Prob >t
0.9 Prob <t
1.459550
37.80348
Difference
Std Err Dif
Upper CL Dif
0.1527
0.0763
Confidence
0.9237
-2 0
II
..
Movies in Last Year
Transcribed Image Text:Report Oneway Analysis of Movies in Last Year By Gender Oneway Analysis of Movies in Last Year By Gender Pooled t Test 25 Summary of Fit Rsquare 0.053085 Adj Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wgts) 0.028188 4.658185 9.025 40 10- t Test M-F Assuming equal variances M Difference 2.1500 t Ratio 1.459559 Gender Std Err Dif 1.4730 DF 38 Upper CL Dif 5.1320 Prob > |E| 0.1526 Lower CL Dif -0.8320 Prob > t 0.0763 Pooled t Test Confidence 0.95 Prob <t 0.9237 Summary of Fit Analysis of Variance Rsquare 0.053085 Source DF Sum of Squares Mean Square F Ratio Adj Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wgts) 0.028188 4.658185 Gender 1 46.22500 46.2250 2.1303 9.025 Error 38 824.55000 21.6987 40 C. Total 39 870.77500 t Test Means for Oneway Anova M-F Level Number Mean Std Error Lower 95% Uppe Assuming equal variances 20 8.8500 1.0416 6.7414 M 20 11.0000 1.0418 8.8014 2.1500 t Ratio 1.4730 DF 4.6335 Prob > |t| Difference 1.459559 Std Err Dif 38 Std Error uses a pooled estimate of error variance Upper CL Dif 0.1526 Lower CL Dif -0.3335 Prob >t 0.0763 t Test Confidence 0.9 Prob <t 0.9237 -2 M-F Assuming unequal variances 2.1500 t Ratio 1.4730 DF 5.1325 Prob > |E| Difference 1.459550 Analysis of Variance Std Err Dif 37.80348 Upper CL Dif 0.1527 Source DF Sum of Squares Mean Square FRatio Prob >F Lower CL Dif -0.8325 Prob > t 0.0763 Gender 1 46.22500 46.2250 2.1303 0.1526 Confidence 0.95 Prob <t 0.9237 Error 38 824.55000 21.6987 C. Total 39 870.77500 Means for Oneway Anova Level Number Mean Std Eror Lower 90% Upper 90% 20 8.8500 1.0416 7.0939 10.608 M 20 11.0000 1.0416 9.2439 12.750 Std Error uses a pooled estimate of error variance t Test M-F Assuming unequal variances 2.1500 t Ratio 1.4730 DF 4.6338 Prob > |t| Lower CL Dif -0.3338 Prob >t 0.9 Prob <t 1.459550 37.80348 Difference Std Err Dif Upper CL Dif 0.1527 0.0763 Confidence 0.9237 -2 0 II .. Movies in Last Year
O (a)
A movie theater is interested in seeing if female or males, on average, attend the movies a different amount. What is the hypothesis test to be done? (Use u, - Hg, where u, is
males and u, is females.)
O Ho: H1 = H2
O Ho: H, = 0.25
H1 42 = 0.75
O Ho: H1 = H2
O Ho: H1> H2
O (b)
Assume the population variances for the two samples are equal (then df = n1 + n2 - 2). Find the t-statistic, critical value, and the p-value associated with the hypothesis test at
the 90% confidence level. (Round your t-statistic and p-value to four decimal places. Round your critical value to three decimal places.) (Use u, - lg, where u, is males and u, is
females.)
t-statistic
critical value
p-value
O (c)
At a 90% confidence level, should the null hypothesis be accepted or rejected? Fill in the blanks.
The null hypothesis should ---Select--
. The number of times, on average, that females and males attend the movies each year ---Select-- v statistically different.
(d)
Assume the population (all people) standard deviation is known to be four movies per year each for males and females. What are the new test statistic and critical value for a 90%
confidence level? (Round your answers to three decimal places.)
test statistic
critical value
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:O (a) A movie theater is interested in seeing if female or males, on average, attend the movies a different amount. What is the hypothesis test to be done? (Use u, - Hg, where u, is males and u, is females.) O Ho: H1 = H2 O Ho: H, = 0.25 H1 42 = 0.75 O Ho: H1 = H2 O Ho: H1> H2 O (b) Assume the population variances for the two samples are equal (then df = n1 + n2 - 2). Find the t-statistic, critical value, and the p-value associated with the hypothesis test at the 90% confidence level. (Round your t-statistic and p-value to four decimal places. Round your critical value to three decimal places.) (Use u, - lg, where u, is males and u, is females.) t-statistic critical value p-value O (c) At a 90% confidence level, should the null hypothesis be accepted or rejected? Fill in the blanks. The null hypothesis should ---Select-- . The number of times, on average, that females and males attend the movies each year ---Select-- v statistically different. (d) Assume the population (all people) standard deviation is known to be four movies per year each for males and females. What are the new test statistic and critical value for a 90% confidence level? (Round your answers to three decimal places.) test statistic critical value You may need to use the appropriate table in the Appendix of Tables to answer this question.
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