a) State the null hypothesls H, and the aitemati Ho H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the leasing firm's claim that the mean number of miles driven annually is less than 12.680 miles? OYes ONo
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- According to Management Accounting, salary figures for certified management accountants (CMAs) who are in the field less than 1 year are normally distributed with a mean of $31,129. A random sample of 15 firstyear CMAs in Denver produces a mean salary of $32,279, with a standard deviation of $1,797. Test the hypothesis that the mean for all Denver firstyear CMAs is not equal to $31,129. Use the .05 level of significance. 1. State the null hypothesis and alternative hypothesis 2.What is the test statistic used for the test (z or t) and it’s critical value (round to 2 places) 3. Determine the p-value. And do you or do you not reject the null hypothesis?A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level.a) The null and alternative hypothesis would be: �0:��=���1:��>�� �0:��=���1:��≠�� �0:��=���1:��>�� �0:��=���1:��<�� �0:��=���1:��≠�� �0:��=���1:��<�� b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p =A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 13,100 miles. A random sample of 50 cars leased from this firm had a mean of 13,003 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1120 miles. Is there support for the firm's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. Ho :0 S H : (b) Determine the type of test statistic to use. (Choose one) D=0 (c) Find the value of the test statistic. (Round to three or more decimal places.) O#0 OO (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the leasing firm's claim that the mean number of miles driven…
- A leasing firm claims that the mean number of miles driven annually, µ, in its leased cars is less than 12,300 miles. A random sample of 80 cars leased from this firm had a mean of 12,150 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 3160 miles. Is there support for the firm's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) |(a) State the null hypothesis H, and the alternative hypothesis H . H, :0 H, :0 |(b) Determine the type of test statistic to use. (Choose one) O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) OA student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: OHO: HF = HT H₁: HF HT O H₁: HF = HT H₁: PF PT t O Ho: PF = PT H₁: PF PT b) Determine the test statistic. Round to two decimals. c) Find the p-value and round to 4 decimals. p= d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. O There is sufficient evidence to support the claim that enrollement is high at a four-year…A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level.a) The null and alternative hypothesis would be: �0:��=���1:��>�� �0:��=���1:��≠�� �0:��=���1:��>�� �0:��=���1:��<�� �0:��=���1:��≠�� �0:��=���1:��<�� b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p =Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of womenHistorically, evening long-distance calls from a particular city have averaged 15.1 minutes per call. In a random sample of 37 calls, the sample mean time was 13.3 minutes. Assume the standard deviation is known to be 5 minutes. Using a 0.05 level of significance, is there sufficient evidence to conclude that the average evening long-distance call has decreased?An educational consulting group claims that there is a difference in the mean student loan debt of students who attended private four-year colleges and the mean student loan debt of students who attended out-of-state public four-year colleges. Student loan debt of 10 randomly selected students who attended private four-year colleges and 10 randomly selected students who attended out-of-state public four-year colleges, at the time of graduating college, are recorded. Assume that the population standard deviation of student loan debt is $5,000 for both the private college attendees and the public college attendees, and assume that the distribution of student loan debt is normally distributed for both the private college attendees and the public college attendees. Let the students who attended private four-year colleges be the first sample, and let the students who attended out-of-state public four-year colleges be the second sample. The group conducts a two-mean hypothesis test at the…The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $14,124. The following year, a random sample of 20 two-year institutions had a mean of $17,124 and a standard deviation of $3700. Is there sufficient evidence at the alpha level of 0.05 to conclude that the mean cost has increased. Show 6 steps of hypothesisAccording to a study the average waiting time at the drive thru window at Mc Donald as measured from the time a customer places an order until the time a customer receives his order was 3.7 minutes. The franchise personnel believes that the average waiting time is not equal to 3.7 minutes. He wanted to institute a new process intended to reduce waiting time. A random sample of 25 orders were collected, and yields a mean waiting time of 3.84 minutes with a sample standard deviation of 0.4 minute. Test this claim at α = 0.05 level of significance. Null hypothesis can be formulated as; Ho: μ = 3.7 minutes Ho: μ < 3.7 minutes Ho: μ > 3.7 minutes Alternative hypothesis can be formulated as; Ha: μ ≠ 3.7 minutes Ha: μ < 3.7 minutes Ha: μ > 3.7 minutes The confidence level that accepting the null hypothesis is the right thing to do is; 91% 95% 99% The appropriate test statistic to be used is; F-test Z-test T-testA leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 13,420 miles. A random sample of 42 cars leased from this firm had a mean of 13,191 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 3460 miles. Assume that the population is normally distributed. Is there support for the firm's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ORecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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