Do men score lower on average compared to women on their statistics finals? Final exam scores of ten randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male: 84 62 94 66 65 63 88 77 61 73 Female: 68 79 97 97 88 99 80 99 69 80 Assume both follow a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer ♥ Select an answer Select an answer (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ? v = (please show your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Do men score lower on average compared to women on their statistics finals? Final exam scores of ten
randomly selected male statistics students and ten randomly selected female statistics students are shown
below.
Male: 84
62
94
66
65
63
88
77
61
73
Female: 68
79
97
97
88
99
80
99
69
80
Assume both follow a Normal distribution. What can be concluded at the the a = 0.05 level of significance
level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho: Select an answer v
Select an answer
Select an answer v (please enter a decimal)
H1: Select an answer v
Select an answer V
Select an answer v (Please enter a decimal)
b. The test statistic ? v
(please show your answer to 3 decimal places.)
=
с. The p-valuе 3D
(Please show your answer to 4 decimal places.)
d. The p-value is ? v a
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to
conclude that the population mean statistics final exam score for men is less than the
population mean statistics final exam score for women.
O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the population mean statistics final exam score for men is less than the population mean
statistics final exam score for women.
%3D
O The results are statistically insignificant at a =
evidence to conclude that the population mean statistics final exam score for men is equal to
the population mean statistics final exam score for women.
0.05, so there is statistically significant
O The results are statistically significant at a =
0.05, so there is sufficient evidence to conclude
that the mean final exam score for the ten men that were observed is less than the mean final
exam score for the ten women that were observed.
Transcribed Image Text:Do men score lower on average compared to women on their statistics finals? Final exam scores of ten randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male: 84 62 94 66 65 63 88 77 61 73 Female: 68 79 97 97 88 99 80 99 69 80 Assume both follow a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer Select an answer v (please enter a decimal) H1: Select an answer v Select an answer V Select an answer v (Please enter a decimal) b. The test statistic ? v (please show your answer to 3 decimal places.) = с. The p-valuе 3D (Please show your answer to 4 decimal places.) d. The p-value is ? v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is less than the population mean statistics final exam score for women. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is less than the population mean statistics final exam score for women. %3D O The results are statistically insignificant at a = evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women. 0.05, so there is statistically significant O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean final exam score for the ten men that were observed is less than the mean final exam score for the ten women that were observed.
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