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QUESTION SEVEN a) A cigarette manufacturing firm distributes two brands of cigarettes. Two random samples are selected...

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Basic Math

QUESTION SEVEN a) A cigarette manufacturingfirm distributes two brands of cigarettes. Two random samples areselected and it is found that 56 of 200 smokers prefer brand Α andthat 29 of 150 smokers prefer brandΒ . Can we conclude at the 0.05level of significance that the percentage of smokers who preferbrand Α exceeds that of brand Β by more than 10%?

b) An auditor claims that 10% of invoices for a certain companyare incorrect. To test this claim a random sample of 200 invoicesare checked and 24 are found to be incorrect. Test at the 1%significant level to see if the auditor’s claim is supported by thesample evidence.

c) The personnel department of a company developed an aptitudetest for screening potential employees. The person who devised thetest asserted that the mean mark attained would be 100. Thefollowing results were obtained with a random sample ofapplicants:

x = 96,   s= 5.2,  n=13

Test this hypothesis against the alternative that the mean markis less than 100, at the 1% significance level.

Answer & Explanation Solved by verified expert
3.9 Ratings (530 Votes)
a Let denote the trueproportion of smokers who prefer    See Answer
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