Assume that both populations are normally distributed. (a) Test whether u, #2 at the a = 0.01 level (b) Construct a 99% confidence interval about u, -P2- Population 1 19 Population 2 19 significance for the given sample data. 12.6 2.7 10.1 3.4 YA. Ho H1 = H2 O B. Ho:41*H2 OC. Ho1 = H2 O D. Ho:H1 H2 Detemine the P-value for this hypothesis test. P= 0.017 (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Reject Ho, there is not sufficient evidence conclude that the two populations have different means. O B. Do not reject Ho, there is sufficient evidence to conclude that the two populations have different means. c. Do not reject Ho, there is not sufficient evidence conclude that the two populations have different means. O D. Reject Ho, there is sufficient evidence to conclude that the two populations have different means. (b) Construct a 99% confidence interval about u, -P2. We are 99% confident that the mean difference is between and.

Find the 90% confidence interval for the difference in the means.

For the last 12 years, Colin has contributed $110 each month into a retirement savings account. If the account earns 7% per year compounded monthly what is the balance of the account at the end of the 12th year?

Assume that both populations are normally distributed. a) Test whether . Population 1 Population 2 10 11.1 Pt2 at the a= 0.05 level of significance for the given sample data 10 9.8 2.3 (b) Construct a 95% confidence interval about u, - H3. 2.7 H1 H1 > H2 O C. Ho H1-H2 H1 H1> H2 D. Ho H1=H2 %3D Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.) %24

Construct a 90% confidence interval for u, - , with the sample statistics for mean calorie content of two bakeries specialty pies and confidence interval construction formula below Assume the populations are approximately normal with equal variances Bakery A Bakery B X1 = 1823 cal X, = 1629 cal S1 = 155 cal S2 = 190 cal n1 = 10 n2 = 12 Confidence interval when variances are equal n n. (n. - 1) s (n2 - 1) s where G and d.f = n, +n2 - 2 nn, - 2 Enter the endpoints of the interval (Round to the nearest integer as needed.)

Find the 98% confidence interval for the difference between two means based on this information about two samples. Assume independent samples from normal populations. (Use conservative degrees of freedom.) (Give your answers correct to two decimal places.) Sample Number Mean Std. Dev. 1 16 38 29 2 29 28 29 Lower Limit   Upper Limit

I'm struggling with how to get the p value from the data in the top right corner of the picture

Assume that both populations are normally distributed. (a) Test whether H1 #H2 at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u, - H2. Population 1 Population 2 13 13 14.1 11.8 4.2 3.1 (a) Test whether u, # H, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Ho:H1 # H2 H1:H1 = H2 O B. Ho:H1 = H2 H1:41 > H2 OC. Ho:H1 H2 H1:H1> H2 D. Ho:H1 = H2 H1:41 # H2 Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.)

Provide an appropriate response. Construct a 95% confidence interval for u1 -µ2. Two samples are randomly selected from normal populations. The sample statistics are given below. n1 = 8 x1= 4.1 n2 = 7 %3D x2 = 5.5 S2 = 2.51 $1 = 0.76 (-1.679, 1.987) (-3.813, 1.013) (-1,132, 1.543) (2.112, 2.113)

Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u, >uz at the a = 0.05 level of significance for the given sample data. (b) Construct a 99% confidence interval about u1 -P2. Population 2 23 Population 1 22 46.4 41.8 4.3 13.1 (a) Identify the null and alternative hypotheses for this test. O A. Ho: H1 = H2 H1: H1 # H2 O B. Ho: H1 =H2 H1: H1 H2 OF. Ho: H1 > H2 H1: H1 = H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)