A nutritionist is studying the average daily sugar intake in units of grams among teenagers. From a sample of 4040 teenagers, the mean intake is found to be 6868 grams with a standard deviation of 99 grams. The nutritionist wants to test, at the 0.050.05 significance level, the claim that the population mean is not equal to 7070 grams. What are the correct null and alternative hypotheses?

{H0 ⁣:μ=70H1 ⁣:μ≠70\begin{cases}$$H_0$$\!:\mu=70\\ $$H_1$$\!:\mu\ne70\end{cases}

{H0 ⁣:μ≠70H1 ⁣:μ=70\begin{cases}$$H_0$$\!:\mu\ne70\\ $$H_1$$\!:\mu=70\end{cases}

70\\ $$H_1$$\!:\mu{H0 ⁣:μ\u003e70H1 ⁣:μ70\begin{cases}$$H_0$$\!:\mu\u003e70\\ $$H_1$$\!:\mu

70\end{cases}"\u003e{H0 ⁣:μ70H1 ⁣:μ\u003e70\begin{cases}$$H_0$$\!:\mu70\end{cases}

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Problem 72Multiple Choice

A nutritionist is studying the average daily sugar intake in units of grams among teenagers. From a sample of $40$ teenagers, the mean intake is found to be $68$ grams with a standard deviation of $9$ grams. The nutritionist wants to test, at the $0.05$ significance level, the claim that the population mean is not equal to $70$ grams. What are the correct null and alternative hypotheses?

$2 cases Case 1: H sub 0 comma colon mu equals 70 Case 2: H sub 1 comma colon mu is not equal to 70$

$2 cases Case 1: H sub 0 comma colon mu is not equal to 70 Case 2: H sub 1 comma colon mu equals 70$

$2 cases Case 1: H sub 0 comma colon mu is greater than 70 Case 2: H sub 1 comma colon mu is less than 70$

$2 cases Case 1: H sub 0 comma colon mu is less than 70 Case 2: H sub 1 comma colon mu is greater than 70$

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