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You are hired to conduct a poll to determine how many people are satisfied with their phone service. You want 90% confidence that your estimated proportion is within 2.5 percentage points of the true proportion. A previous poll suggests that the proportion is 85%. How large must your sample be?
While 290 out of 400 in Batavia preferred the same flavor. To test the hypothesis that there was no difference in preferences in the two towns, what is the alternate hypothesis?
A new company is manufacturing light bulbs. The CEO claims that the average light bulb lasts 260 days. A researcher selects 25 bulbs for testing. The sample bulbs last an average of 250 days with a standard deviation of 20 days.
An auditor reviewed 25 oral surgery insurance claims from a particular surgical office, determining that the mean out-of-pocket patient billing above the reimbursed amount was $275.66 with a standard deviation of $78.11.
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
You know that all sociology majors study 2.5 hours per day with a standard deviation of 1.
Pierre has a utility function for total asset position of u(x)=ln(x), His assets currently consist of $50,000 in cash and a rare violin he inherited from a rich uncle which is valued at $100,000.
They decide to sample some fast-food restaurants currently operating to estimate the monthly cost of electricity. They want to be 90% confident of their results and want the error of the interval estimate to be no more than $100.
A group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology.
Let's play a game. An urn contains five red, four green and one gold ball other than color, the balls are identical. You are blindfolded and allowed to pick a ball from the urn. Red pays $5, green pays $10 and gold pays $50.
Round the intermediate values to 2 decimal places. Round your answer to 2 decimal places, the tolerance is +/-0.05. Type of music preferred is independent or not independent of region of the country?
A manufacturer claims that the life span of its tires is 52,000 miles. You work for a consumer protection agency and you are testing these tires. Assume the life spans of the tires are normally distributed.
Point out your final decision concerning hypothesis test and compute p-value for test.
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