Assume that you have a sample of n1 = 8, with the sample mean )_(1 = 50, and a sample standard deviation of S1 = 4, and you have an independent sample of h2 = 17 from another population with a sample mean of )_(2 = 38 and the sample standard deviation 52 = 7. Complete parts (a) through (d), Click here for E99 1 of critical values of t. Click here for Igge 2 of critical values of t. a. What is the value of the pooled-variance 'STAT test statistic for testing Ho: p1 = p2? 'STAT = (Type an integer or a decimal rounded to four decimal places as needed.) An evaluation was recently performed on brands and data were collected that classied each brand as being in the technology or nancial institutions sector and also reported the brand value. The results in terms of value (in millions of dollars are shown in the accompanying data table. Complete parts (a) through (c). a Click the icon to view the data table. a. Assuming the population variances are equal, is there evidence that the mean brand value is different for the technology sector than for the nancial institutions sector? (Use a = 0.1.) Determine the hypotheses. Let p1 be the mean brand value for the technology sector and p2 be the mean brand value for the nancial institutions sector. Choose the correct answer below. A. Ho:|,i1p2 B. Holp15p2 H1:P1=P2 H1:P1>P2 ~VC. Hozp1=p2 D. H0:p12p2 H1P1H2 H1=u1F2 Find the test statistic. 'STAT = (Rcund to two decimal places as needed.) \fThe following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). Population A: n = 21 S2 = 50.4 Population B: n = 13 SZ = 17.6 . . . a. At the 0.05 level of significance, is there evidence of a difference between of and o? ? Determine the hypotheses. Choose the correct answer below. OB. H: 07#67 H1:07 =07 H:07 OD. H: 07 207 OC. Ho: 07 502 H1:09 02 Use technology to find the test statistic, FSTAT. FSTAT = (Round to two decimal places as needed.)To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 47 feet. Assume the population standard deviation is 4.6 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state Ho and Ha. What is the claim? O A. The mean braking distance is greater for Make A automobiles than Make B automobiles. O B. The mean braking distance is less for Make A automobiles than Make B automobiles. C. The mean braking distance is different for the two makes of automobiles. O D. The mean braking distance is the same for the two makes of automobiles. What are Ho and Ha? OA. HO: 1 # H2 OB. HO: H1 2H2 O C. HO: My

H2 OF. HO: MISH 2 Ha: My # H2 Ha: My SH2 Ha: H1 > H2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are . Round to two decimal places as needed. Use a comma to separate answers as needed.)