The national average score on a professional certification exam is 78 78 . A company wants to know if its employees, who completed a new training course, perform worse than the national average. A random sample of 5050 employees had a mean score of 74 74 with a standard deviation of 12 12 . State the appropriate null and alternative hypotheses to test whether the company's employees score lower than the national average.

{H0:μ≥78Ha:μ78\begin{cases}$$H_0$$:\mu\ge78\\ H_{a}:\mu

78 \\ H_a: \mu {H0:μ\u003e78Ha:μ78 \begin{cases} $$H_0$$: \mu \u003e 78 \\ H_a: \mu

78 \end{cases} "\u003e{H0:μ=78Ha:μ\u003e78 \begin{cases} $$H_0$$: \mu = 78 \\ H_a: \mu \u003e 78 \end{cases}

78 \end{cases} "\u003e{H0:μ78Ha:μ\u003e78 \begin{cases} $$H_0$$: \mu 78 \end{cases}

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Problem 49Multiple Choice

The national average score on a professional certification exam is $78$ . A company wants to know if its employees, who completed a new training course, perform worse than the national average. A random sample of $50$ employees had a mean score of $74$ with a standard deviation of $12$ . State the appropriate null and alternative hypotheses to test whether the company's employees score lower than the national average.

$2 cases Case 1: H sub 0 colon mu is greater than or equal to 78 Case 2: H sub a colon mu is less than 78$

$2 cases Case 1: H sub 0 colon mu is greater than 78 Case 2: H sub a colon mu is less than 78$

$2 cases Case 1: H sub 0 colon mu equals 78 Case 2: H sub a colon mu is greater than 78$

$2 cases Case 1: H sub 0 colon mu is less than 78 Case 2: H sub a colon mu is greater than 78$

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