Working at Home Workers with a formal arrangement with their employer to be paid for time worked at home, worked an average of 19 hours per week. A random sample of 14 mortgage brokers indicated that they worked a mean of 23.1 hours per week with a standard deviation of 6.5 hours. At α=0.05, is there sufficient evidence to conclude a difference? Construct a 95% confidence interval for the true mean number of paid working hours at home. Compare the results of your confidence interval to the conclusion of your hypothesis test and discuss the implications. (a) State the hypothesis and identify the claim with the correct hypothesis. H0 H1 This hypothesis test is a one tailed/two-tailed test. (b)Find the critical value(s). Round the answer to 3 decimal places, if necessary. If there is more than one critical value, separate them with commas. Critical values:
Working at Home Workers with a formal arrangement with their employer to be paid for time worked at home, worked an average of 19 hours per week. A random sample of 14 mortgage brokers indicated that they worked a mean of 23.1 hours per week with a standard deviation of 6.5 hours. At α=0.05, is there sufficient evidence to conclude a difference? Construct a 95% confidence interval for the true mean number of paid working hours at home. Compare the results of your confidence interval to the conclusion of your hypothesis test and discuss the implications.
(a) State the hypothesis and identify the claim with the correct hypothesis.
H0
H1
This hypothesis test is a one tailed/two-tailed test. (b)Find the critical value(s). Round the answer to 3 decimal places, if necessary. If there is more than one critical value, separate them with commas.
Critical values:
(c)Compute the test value. Round the answer to at least 3 decimal places, if necessary.
t=
(d)Make the decision.
Reject/do not reject the null hypothesis
(e)Summarize the results.
There ▼is enough evidence to support the claim that there is ▼a difference from the stated average of 19 hours per week.
Construct a
95%
confidence interval for the true mean number of paid working hours at home. Round the answer to one decimal place.
23.1
<μ<
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