# Business & data analytics – assignment

During these chapters, you will analyze three main concepts of testing data.

1. If you received a random sample size of 345 that is drawn from a population with a mean of 150 and standard deviation of 180. What is the standard deviation of the sample mean? Finally, what does the standard deviation mean in this question? Explain.

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2. What are your assumptions with the confidence interval at 95%? Explain.

3. When observing hours discrepancy in the workplace, we analyze 32 workers. We noticed the sample mean was found to be 42.1 hours a week, with a standard deviation of 10.4. Test the claim that the standard deviation was at least 13 hours. The hypotheses are:

H0:σ=13

Ha:σ<13

We shall choose α=0.05

Will you accept or reject the hypotheses?

Need 4-5 pages with explanations and working. Please provide peer reviewed citations.