You wish to test the claim that Washington residents (Group 2) have a higher average monthly bill for their health insurance than Idaho residents (Group 1) at a significance level of a=0.02. Ho: H1- H2 =0 Ha: H1 - H2 < 0 You believe both populations are normally distributed, but you do not know the standard deviations for either or that they have the same standard deviation. You obtain a sample of size 21 with a mean of 87.6 and a standard deviation of 9.5 from the Idaho residents. You obtain a sample of size 13 with a mean of 97.5 and a standard deviation of 10.5 from the Washington residents.

Do men score higher on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male: 65 94 63 85 84 72 79 80 95 79 75 84 Female: 54 60 81 72 65 66 61 77 64 77 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 Select an answer Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) 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 ... The results are statistically insignificant at a =…

A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1981 levels. Suppose two samples representative of the study's results report the following summary statistics for the two periods. 1981 Levels 2008 Levels 24 minutes 19 minutes 51 = 3.5 minutes 52 - 4.3 minutes ni = 30 n2 - 30 Which of the following is the correct value of the test statistic assuming that the unknown population variances are equal? Multiple Cholce Z = -4.94 tss = 4.94 Z = 4.94 t59 = -4.94

A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72   116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =