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Members of the general adult population volunteer an average of 4.2 hours per week. A random sample of 20 female college students and 18 male college students produced the results given in the table below. At the .01 level of significance, is there sufficient evidence to conclude that a difference exists between the mean number of volunteer hours per week for male and female college students?
FemalesMalesSample size2018Sample mean3.82.5Sample variance3.52.2
A.No, because the test value 2.38 is greater than the critical valueB.No, because the test value 2.38 does not exceed the critical valueC.No, because the test value 2.90 is greater than the critical valueD.Yes, because the test value 2.90 is greater than the critical value
a) What statistical test should be used to analyze these data? b) Identify H0 and Ha for this study. c) Conduct the appropriate analysis d) Should H0 be rejected? What should the researcher conclude?
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Use this poll result to give 70%, 80%, 90% and 99% confidence intervals for the proportion of all adults who feel this way. What do your results show about the effect of changing the confidence level? (Use Excel)
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