A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. The professional employees should volunteer an average of more than 15 hours per month. A random sample of 24 professional employees reported the following number of hours per month: 12 13 14 14 15 15 15 16 16 16 16 16 17 17 17 18 18 18 18 19 19 19 20 21 Test significance level at 5% that the professional employees will be volunteer an average of more than 15 hours per month in engaging during local service activities. (a) Write the null (H0) and alternative (H1) hypothesis. (b) State the critical value of above hypothesis testing. (c) Calculate the test statistic. (d) Shall we reject the null (H0) hypothesis of these professional employees’ monthly hours in volunteering during local service activities?
Added by Samuel W.
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Alternative hypothesis (H1): The professional employees volunteer an average of more than 15 hours per month during local service activities. (b) Since the sample size is greater than 30, we can use a z-test. The critical value for a one-tailed test at a Show more…
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A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their employees to engage in local service activities. They want to test if the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals reported are shown in the above table. The average and standard deviation of volunteered hours in the sample are 16.625 and 2.223 hours, respectively. Find the appropriate t-statistic (t value) the company should use in order to test if the average hours volunteered by employees at their company is greater than 15 hours? a. t=0.73 b. t=-3.56 c. t=3.56 d. t=0.73
Tim T.
Question 8 (1 point) 12 13 14 14 15 15 15 16 16 16 16 16 17 17 17 18 18 18 18 19 19 19 20 21 A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their employees to engage in local service activities. They want to test if the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals reported are shown in the above table. The average and standard deviation of volunteered hours in the sample are 16.625 and 2.223 hours, respectively. Derive a conclusion about the this hypothesis test if the test is conducted at α= 10%. We fail to reject the null hypothesis. The firm should institute an incentive program because there is evidence indicating that professional employees volunteer less than 15 hours per month, on average. We reject the null hypothesis. The firm should institute an incentive program because there is evidence indicating that professional employees volunteer less than 15 hours per month, on average. We fail to reject the null hypothesis. The firm does not need to institute an incentive program because there is strong evidence indicating that professional employees already volunteer more than 15 hours per month, on average. We reject the null hypothesis. The firm does not need to institute an incentive program because there is strong evidence indicating that professional employees already volunteer more than 15 hours per month, on average.
Danielle F.
3) A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They wish to determine the average number of hours the firm's professionals volunteer per month. A random sample of 24 professionals reported the following number of hours: a. Based on the sample results, find the 95% confidence interval and interpret. b. For a more accurate determination, top management wants to estimate the average number of hours volunteered per month by their professional staff to within one hour with 99% confidence. How many randomly selected professional employees would they need to sample? c. Suppose 40 professional employees are randomly selected. This sample yields a mean of 15.2 hours and a standard deviation of 1.8 hours. Find a 95% confidence interval and interpret.
Sri K.
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