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 believe that 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 yields a mean of 16.6 hours and a standard deviation of 2.22 hours. The correct value of the test statistic for the appropriate hypothesis test is A. t = –3.532 B. t = 3.532 C. t = 0.789 D. t = –1.223 E. t = 1.223
Added by Karina M.
Step 1
The null hypothesis (H0) is that the mean volunteer hours is 15 hours per month. The alternative hypothesis (H1) is that the mean volunteer hours is more than 15 hours per month. 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 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?
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According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City is less than the national average, a researcher decides to do a hypothesis test, at a 1% significance level. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours. • H0: μ ≥ 3; Ha: μ < 3. • α = 0.01 (significance level) What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)? • Round your final answer to two decimal places. Provide your answer below:
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Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test, the Type I error is: a. to conclude that the current mean hours per week is han $4.5,$ when in fact, it is higher b. to conclude that the current mean hours per week is higher than $4.5,$ when in fact, it is the same c. to conclude that the mean hours per week currently is $4.5,$ when in fact, it is higher d. to conclude that the mean hours per week currently is no higher than $4.5,$ when in fact, it is not higher
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