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QUESTION FIVE The diameter of shafts produced in a machine follows a normal distribution with the variance...

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Basic Math

QUESTION FIVE

  1. The diameter of shafts produced in a machine follows a normaldistribution with the variance of 81mm. A random sample of 36shafts taken from the production has its mean diameter of 30mm.Find a 95% confidence interval for the diameter of shafts.

  1. The Marketing manager of a company feels that 42% of retailerswill have enhanced weekly sales after introducing an advertisementat the point of sales. A sample of 36 retailers shops of thecompany, where the point of sales advertisement has been displayed,reveals that only 18 of them are having enhanced sales afterdisplaying the advertisement. Find the 95% confidence interval forthe proportion representing the enhanced sales.

c. The Finance manager of a company feels that 55% of brancheswill have enhanced yearly collection of deposits after introducinga hike in interest rate. Determine the sample size such that themean proportion is with plus or minus 0.05 confidence level of90%?     

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