The mean number of sick days taken by employees in a year is 6. Members of the Human Resources department believe that employees take more than 6 sick days. A random sample of 52 employees had a mean of 6.42 sick days with a standard deviation of 1.6 days. Test the group’s claim at α = 0.05. (a) Write the null and alternative hypotheses. (b) Find the test statistic, t0. (write the answer as a decimal rounded to 4 decimal places) (c) Approximate the P-value. (write the answer as a decimal rounded to 4 decimal places)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The mean number of sick days taken by employees in a year is 6. Members of the Human Resources department believe that employees take more than 6 sick days. A random sample of 52 employees had a mean of 6.42 sick days with a standard deviation of 1.6 days. Test the group’s claim at α = 0.05. (a) Write the null and alternative hypotheses. (b) Find the test statistic, t0. (write the answer as a decimal rounded to 4 decimal places) (c) Approximate the P-value. (write the answer as a decimal rounded to 4 decimal places)
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