The annual salaries (in dollars) of 14 randomly chosen fire fighters are listed. At a=0.05, is there enough evidence to support the claim that the standard deviation of the annual salaries is different from $5350? Assume the population is normally distributed. Complete parts (a) through (e) below.50,762 40,917 52,417 46,547 41,771 40,186 51,11052,078 43,835 34,834 35.086 28,198 32,769 37,955Click the icon to view the Chi-Square Distribution Table(a) Write the claim mathematically and identify Ho and HaOA. Ho: 5350 (Claim); H₂: >5350OB. H₂:=5350; H₂: #5350 (Claim)OC. H: 25350; H₂: <5350 (Claim)OD. H₂: <5350 (Claim); H₂: 25350(b) Find the critical value(s).x =(Round to three decimal places as needed. Use a comma to separate answers as needed.)Identify the rejection region(s). Choose the correct graph below.OA(c) Find the standardized test statistic for the X-test.x-0(Round to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.OA. Fail to reject Ho. The standardized test statistic is not in the rejection region.OB. Fail to reject Ho. The standardized test statistic is in the rejection region.OC. Reject Ho. The standardized test statistic is not in the rejection region.OD. Reject Ho. The standardized test statistic is in the rejection region.O B.QO A. Since the null hypothesis is rejected, there is enough evidence to support the claim.OB. Since the null hypothesis is not rejected, there is enough evidence to support the claim.OC. Since the null hypothesis is not rejected, there is not enough evidence to support the claim.OD. Since the null hypothesis is rejected, there is not enough evidence to support the claim.G(e) Interpret the decision in the context of the original claim.Is there enough evidence to support the claim that the standard deviation of the annual salaries of fire fighters' is different from $5350 at the 5% level of significance?-OC.QnaQOD.AQQ

For the given problem we will use Chi-square test of one population variance. For this, we will…

Answered: The annual salaries (in dollars) of 14…

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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2.5
Approximate the mean and standard deviation for age.
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Using technology, find the range and standard deviation, round to one decimals place:The table below gives the number of hours spent watching TV last week by a sample of 24 children. 20 39 34 29 48 84 64 25 75 89 40 57 82 43 62 52 49 59 38 87 49 66 95 17 Range = 78 Standard Deviation = 22.6
The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 258 people. a) Complete the table. Age Number of people 18 54 19 69 20 70 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in their name from a sample of 166 people. Complete the table. xx CountCount 0 45 1 43 2 32 3 46 Find the mean number of cars owned for this sample. Give your answer to at least 2 decimal places. Find the standard deviation of cars owned for this sample. Give your answer to at least 2 decimal places.
A particular hospital's birthweight distribution is discovered to have a mean of 2700 g and a standard deviation of 200 g. Which of the following value ranges can we expect 95 percent of all birthweights at that hospital to fall within? O a. (2400, 3000) O b. (2500, 2900) O c. (2605, 2795) d. (2600, 2800)
The SAT and ACT college entrance exam are taken by thousands of students each year. The mathematics portions of each of these exams produce scores that are approximately normally distributed. In recent years, SAT mathematics exam scores have averaged 480 with standard deviation 100. The average and standard deviation for ACT mathematics scores are 18 and 6, respectively. a. An engineering school sets 550 as the minimum SAT math score for new students. What percentage of students will score below 550 in a typical year? b. What score should the engineering school set as a comparable standard on the ACT math test?
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