Please Solve This Question Question Number 04 A marketing research analyst collects data for a random sample of 100 customers out of the 4,000 who purchased a particular “coupon special.” The 100 people spent a sample average of  in the store with a standard deviation of . Before seeing these sample results, the marketing manager had claimed that the average purchase by those responding to the coupon offer would be at least (not less than) $25.00. Can this claim be rejected, using the 5 percent level of significance? A survey conducted by a research institute lists median salaries for associate professors of statistics at public sector institutions and at private sector institutions in Pakistan. Assume that a sample of 100 associate professors from public sector institutions has an average salary of PKR 72,000 per month with a standard deviation of PKR 6000. Assume also that a sample of 150 associate professors from private sector institutions has an average salary of PKR 78,000 with a standard deviation of PKR 5000. Test the hypothesis that the mean salary for associate professors in private institutions is PKR 1500 higher than for those in other institutions. Use a 0.01 level of significance.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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  1. A marketing research analyst collects data for a random sample of 100 customers out of the 4,000 who purchased a particular “coupon special.” The 100 people spent a sample average of  in the store with a standard deviation of . Before seeing these sample results, the marketing manager had claimed that the average purchase by those responding to the coupon offer would be at least (not less than) $25.00. Can this claim be rejected, using the 5 percent level of significance?
  2. A survey conducted by a research institute lists median salaries for associate professors of statistics at public sector institutions and at private sector institutions in Pakistan. Assume that a sample of 100 associate professors from public sector institutions has an average salary of PKR 72,000 per month with a standard deviation of PKR 6000. Assume also that a sample of 150 associate professors from private sector institutions has an average salary of PKR 78,000 with a standard deviation of PKR 5000. Test the hypothesis that the mean salary for associate professors in private institutions is PKR 1500 higher than for those in other institutions. Use a 0.01 level of significance.
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