A company has initaiated a training program for new hires. After surveying 16 ne

Question

A company has initaiated a training program for new hires. After surveying 16 new employees, they determined the average training time was 7 hours with a sample standard deviatino of 2 hours. Assume that the underlying population is normally distribution . Show your work and round your CI to THREE decimal places.

a. Define the random variable X for this problem in words

b. Define the random variable P' in words.

c. Conduct a 99% confidence interval for the population proportion of high school students who claim to have a mobile phone. Round your CI to THREE deciaml places.

d. Calculate the error bound.

Explanation / Answer

a. Define the random variable X for this problem in words

X : training time for new hires

b)

P proportion of survey of new employees that follow a normal distribution

c)

alpha = 1 - 0.99 = 0.01

alpha/2 = 0.005

Z= 2.57

I: 7 +/- 2.57 * 2 /srqt(16)

7 +/- 1.285

5.715 < miu < 8.285

bound error will be 2.57 * 2 / srqt(16) = 1.285

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