In: Statistics and Probability
Do men score lower on average compared to women on their
statistics ? scores of twelve...
Do men score lower on average compared to women on their
statistics ? scores of twelve randomly selected male statistics
students and twelve randomly selected female statistics students
are shown below.
Male: 71 93 55 93 81 71 90 84 65 64
75 88
Female: 83 99 87 68 64 97 75 73 68
70 99 97
Assume both follow a Normal distribution. What can be concluded
at the the αα = 0.01 level of significance level of
significance?
For this study, we should use Select an answer t-test for the
difference between two dependent population means t-test for the
difference between two independent population means z-test for the
difference between two population proportions z-test for a
population proportion t-test for a population mean
- The null and alternative hypotheses would be:
-
H0:H0: Select an answer μ1 p1 Select an
answer > ≠ < = Select an answer p2
μ2 (please enter a decimal)
H1:H1: Select an answer μ1 p1 Select an
answer ≠ > = < Select an answer p2
μ2 (Please enter a decimal)
- The test statistic ? t z = (please show
your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal
places.)
- The p-value is ? > ≤ αα
- Based on this, we should Select an answer fail to reject reject
accept the null hypothesis.
- Thus, the final conclusion is that ...
- The results are statistically insignificant at αα = 0.01, so
there is insufficient evidence to conclude that the population mean
statistics score for men is less than the population mean
statistics score for women.
- The results are statistically significant at αα = 0.01, so
there is sufficient evidence to conclude that the population mean
statistics score for men is less than the population mean
statistics score for women.
- The results are statistically insignificant at αα = 0.01, so
there is statistically significant evidence to conclude that the
population mean statistics score for men is equal to the population
mean statistics score for women.
- The results are statistically significant at αα = 0.01, so
there is sufficient evidence to conclude that the mean score for
the twelve men that were observed is less than the mean score for
the twelve women that were observed.