Medicare would like to test the hypothesisthat the average monthly rate for one-bedroom assisted-living facility is equal to$3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690per month. The standard deviation for thissample was $530. Medicare would like to seta = 0.05. Which one of the followingstatements is true?O a. Because the p-value is less thanalpha, we fail to reject the nullhypothesis and conclude that theaverage monthly rate for an assisted-living facility is not equal to $3,300.O b. Because the p-value is less thanalpha, we reject the null hypothesisand conclude that the averagemonthly rate for an assisted-livingfacility is not equal to $3,300.c. Because the p-value is greater thanalpha, we fail to reject the nullhypothesis and conclude that theaverage monthly rate for an assisted-living facility is equal to $3,300.O d. Because the p-value is greater thanalpha, we fail to reject the nullhypothesis and cannot conclude thatthe average monthly rate for anassisted-living facility is not equal to$3,300.

Givensampele size(n)=12Mean(x)=3690standard deviation(s)=530significance level(α)=0.05

Answered: Medicare would like to test the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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It is reported in USA Today that the average flight cost nationwide is $595.711. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually greater than $595.711. The hypotheses for this situation are as follows: Null Hypothesis: µ 595.711. A random sample of 30 flights shows an average cost of $584.559 with a standard deviation of $59.3656. What is the test statistic and p-value for this test? 1) Test Statistic: 1.029, P-Value: 0.156 2) Test Statistic: -1.029, P-Value: 0.844 3) Test Statistic: -1.029, P-Value: 0.156 4) Test Statistic: -1.029, P-Value: 1.688 5) Test Statistic: 1.029, P-Value: 0.844
The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.05. Which one of the following statements is true? Because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average debt load is not equal to $17,000. Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average debt load is not equal to $17,000. Because the p-value is greater than α, we fail to reject the null hypothesis and conclude that the average debt load is equal to $17,000. Because the p-value is less than α, we reject the null hypothesis and conclude that the average debt load is equal to $17,000.
Suppose you are interested in testing whether average monthly gasoline expenditure differs from $50 at the 5% significance level. You take a sample of 30 and calculate a sample mean of 51 and sample standard deviation of 12. Given this information the null and alternative hypotheses are as follows: H0: μ=50 H1: μ≠50 What is the p-value for this test? (Round to four decimal places. )
If the t-statistic for a single sample t-test is 1.58, what can you conclude? a. The test is significant at an alpha level of .05. b. The sample size of the test was at least 30. c. The sample mean was larger than the population mean. d. The population standard deviation was smaller than the difference between the sample mean and the population mean.
Medicare would like to test the hypothesis that the average monthly rate for one- bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted- living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set a = 0.05. Which one of the following statements is true? a. Because the p-value is less than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is not equal to $3,300. b. Because the p-value is less than alpha, we reject the null hypothesis and conclude that the average monthly rate for an assisted-living facility is not equal to $3,300. O c. Because the p-value is greater than alpha, we fail to reject the null hypothesis and conclude that the average monthly rate for an assisted- living facility is equal to $3,300.
Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set α = 0.02. The critical value for this hypothesis test would be

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