A school administrator claims that the average test scores of students in two different schools are equal. A sample of 1818 students from school X has a mean score of 7878 with a standard deviation of 66. A sample of 1616 students from school Y has a mean score of 8080 with a standard deviation of 77. Assume the population variances are equal. Identify the claim and state the null and alternative hypotheses.

{H0:μ1=μ2(Claim)Ha:μ1≠μ2\begin{cases}$$H_0$$:\$$mu_1$$=\$$mu_2$$ & (\text{Claim})\\ H_{a}:\$$mu_1$$\neq\$$mu_2$$ & \end{cases}

{H0:μ1μ2(Claim)Ha:μ1≥μ2\begin{cases}$$H_0$$:\$$mu_1$$

\$$mu_2$$ & (\text{Claim})\\ H_{a}:\$$mu_1$$\leq\$$mu_2$$ & \end{cases}"\u003e{H0:μ1\u003eμ2(Claim)Ha:μ1≤μ2\begin{cases}$$H_0$$:\$$mu_1$$\u003e\$$mu_2$$ & (\text{Claim})\\ H_{a}:\$$mu_1$$\leq\$$mu_2$$ & \end{cases}

{H0:μ1≠μ2(Claim)Ha:μ1=μ2\begin{cases}$$H_0$$:\$$mu_1$$\neq\$$mu_2$$ & (\text{Claim})\\ H_{a}:\$$mu_1$$=\$$mu_2$$ & \end{cases}

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Problem 27Multiple Choice

A school administrator claims that the average test scores of students in two different schools are equal. A sample of $18$ students from school X has a mean score of $78$ with a standard deviation of $6$ . A sample of $16$ students from school Y has a mean score of $80$ with a standard deviation of $7$ . Assume the population variances are equal. Identify the claim and state the null and alternative hypotheses.

$2 cases Case 1: H sub 0 colon mu sub 1 is less than mu sub 2 open paren Claim close paren Case 2: H sub a colon mu sub 1 is greater than or equal to mu sub 2 blank$

$2 cases Case 1: H sub 0 colon mu sub 1 is greater than mu sub 2 open paren Claim close paren Case 2: H sub a colon mu sub 1 is less than or equal to mu sub 2 blank$

$2 cases Case 1: H sub 0 colon mu sub 1 is not equal to mu sub 2 open paren Claim close paren Case 2: H sub a colon mu sub 1 equals mu sub 2 blank$

$2 cases Case 1: H sub 0 colon mu sub 1 equals mu sub 2 open paren Claim close paren Case 2: H sub a colon mu sub 1 is not equal to mu sub 2 blank$

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