Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national
step 1 of 3: state the null and alternative hypotheses for the test. Fill in the blank below. H0: μ= 51,809
Ha: μ _____ 51,809
Step 2 of 3: compute the value of the test statistic. Round your answer to three decimal points.
Step 3 of 3: draw a conclusion and interpret the decision
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- For a study conducted by the research department of a pharmaceutical company, 235 randomly selected individuals were asked to report the amount of money they spend annually on prescription allergy relief medication. The sample mean was found to be $17.80 with a standard deviation of $4.30 . A random sample of 250 individuals was selected independently of the first sample. These individuals reported their annual spending on non-prescription allergy relief medication. The mean of the second sample was found to be $18.20 with a standard deviation of $4.00 . As the sample sizes were quite large, it was assumed that the respective population standard deviations of the spending for prescription and non-prescription allergy relief medication could be estimated as the respective sample standard deviation values given above. Construct a 90% confidence interval for the difference −μ1μ2 between the mean spending on prescription allergy relief medication ( μ1 ) and the mean…arrow_forwardA company has rolled out a new process for sales people to use. They were able to go back into the company records and pull all sales data from before the roll out. Each sales person when they closed a sale had an average contract of $108 with a standard deviation of $12. During the first month after the roll out, a sample of sales showed the average contract was $116. Which statistical test could be used to see if this was a significant increase in contract size?arrow_forwardA polling organization reported data from a survey of 2000 randomly selected Canadians who carry debit cards. Participants in this survey were asked what they considered the minimum purchase amount for which it would be acceptable to use a debit card. Suppose that the sample mean and standard deviation were $9.14 and $7.70, respectively. (These values are consistent with a histogram of the sample data that appears in the report.)Do these data provide convincing evidence that the mean minimum purchase amount for which Canadians consider the use of a debit card to be appropriate is less than $10? Carry out a hypothesis test with a significance level of 0.01. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = State your conclusion. Reject H0. We do not have convincing evidence that the mean minimum purchase amount for which Canadians consider it…arrow_forward
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