Do men score higher on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 89 58 94 91 67 69 86 76 95 91 71 72 Female: 70 75 47 49 86 61 76 48 79 77 50 70 276 Assume both follow a Normal distribution. What can be concluded at the the a= 0.01 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 H₁: Select an answer Select an answer C Select an answer. b. The test statistic ? = Select an answer Select an answer (please enter a decimal) (Please enter a decimal) O (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) c. The p-value d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.01, so there is statistically significant 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. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean final exam score for the twelve men that were observed is more than the mean final exam score for the twelve women that were observed. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Do men score higher on average compared to women on their statistics finals? Final exam scores of twelve
randomly selected male statistics students and twelve randomly selected female statistics students are shown
below.
Male: 89 58 94 91 67 69
Female: 70 75 47 49 86 61
76 48 79 77 50 70
Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance
level of significance?
For this study, we should use Select an answer
86 76 95 91 71 72
a. The null and alternative hypotheses would be:
Ho: Select an answer
H₁: Select an answer
Select an answer
Select an answer.
Select an answer
Select an answer
(please enter a decimal)
(Please enter a decimal)
(please show your answer to 3 decimal places.)
b. The test statistic
c. The p-value =
d. The p-value is ?
a
e. Based on this, we should Select an answer the null hypothesis.
f. Thus, the final conclusion is that ...
(Please show your answer to 4 decimal places.)
O The results are statistically insignificant at a = 0.01, so there is statistically significant 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.
O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude
that the population mean statistics final exam score for men is more than the population mean
statistics final exam score for women.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the mean final exam score for the twelve men that were observed is more than the mean
final exam score for the twelve women that were observed.
O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude
that the population mean statistics final exam score for men is more than the population mean
statistics final exam score for women.
Transcribed Image Text:Do men score higher on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and twelve randomly selected female statistics students are shown below. Male: 89 58 94 91 67 69 Female: 70 75 47 49 86 61 76 48 79 77 50 70 Assume both follow a Normal distribution. What can be concluded at the the a = 0.01 level of significance level of significance? For this study, we should use Select an answer 86 76 95 91 71 72 a. The null and alternative hypotheses would be: Ho: Select an answer H₁: Select an answer Select an answer Select an answer. Select an answer Select an answer (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) b. The test statistic c. The p-value = d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are statistically insignificant at a = 0.01, so there is statistically significant 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. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean final exam score for the twelve men that were observed is more than the mean final exam score for the twelve women that were observed. O The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.
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