The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to be about $22,000. You take a random sample of 146 college students in the state of Vermont and find the mean debt is $23,000 with a standard deviation of $2,700. You want to construct a 90% confidence interval for the mean debt for all Vermont college students. (a) What is the point estimate for the mean debt of all Vermont college students? $ (b) Construct the 90% confidence interval for the mean debt of all Vermont college students. Round your answers to the nearest whole dollar. Write your answer in this format (lower limit, upper limit) (c) Are you 90% confident that the mean debt of all Vermont college students is greater than the quoted national average of $22,000 and why? Choose a, b, c, or d a. Yes, because $22,000 is above the lower limit of the confidence interval for Vermont students. b. No, because $22,000 is below the lower limit of the confidence interval for Vermont students. c. Yes, because $22,000 is below the lower limit of the confidence interval for Vermont students. d. No, because $22,000 is above the lower limit of the confidence interval for Vermont students. (d) We are never told whether or not the parent population is normally distributed. Why could we use the above method to find the confidence interval? Choose a, b, c, or d a. Because the margin of error is less than 30. b. Because the sample size is greater than 30. c. Because the margin of error is positive. d. Because the sample size is less than 100.

15 A 16 8 2 C.

A group of five people line up for a photo. There are two adults and three kids in the group.How many ways are there to line up the people if an adult must be on each end of the line up? 12 24 48 120

For following function, select (on the same set of coordinate axes) a graph of function for c = 3, 1 and–3. [x²+c,x<0 -x2+c, x20 f(x) = -5 -4 -3 -2\-1. 5 3 4 2+ -3 2 + -5 -4 -3 -2 + 3 4 5 1 2 -2 -3 -5

According to the table above please answer d and e as well.

Evaluate C, and P,. 8 5"

1. Before the furniture store began its ad campaign, it averaged 174 customers per day. The manager is investigating if the average is smaller since the ad came out. The data for the 13 randomly selected days since the ad campaign began is shown below:  164, 189, 142, 142, 172, 178, 190, 166, 169, 173, 185, 190, 176 Assuming that the distribution is normal, what can be concluded at the αα = 0.10 level of significance? For this study, we should use t-test for a population mean ?  The null and alternative hypotheses would be:       H0:  ? p μ  Select an answer? < > ≠ =         H1:  ? μ p  Select an answer? < ≠ > =     The test statistic ? z t  =        (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 accept reject fail to reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean number…