Number of Words in a Novel The National Novel Writing Association states that the average novel is at least 50,000 words. A particularly ambitious writing club at a college-preparatory high school had randomly selected members with works of the following lengths, At $α = 0.05$ , is there sufficient evidence to conclude that the mean length is greater than 50,000 words? Assume that the population is approximately normally distributed.
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(a) State the hypotheses and identify the claim.
$\begin{array}{l} H_{0} : ◻ (Choose one) \nabla \\ H_{1} : ◻ (Choose one) \nabla \end{array}$

This hypothesis test is a (Choose one) $V$ test.

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$H_{0} : μ = 50000, H_{1} : μ > 50000$

Steps

Step 1 ：State the hypotheses and identify the claim.

Step 2 ：The null hypothesis (H0) is that the mean length of the novels is equal to 50,000 words: $H_{0} : μ = 50000$ .

Step 3 ：The alternative hypothesis (H1) is that the mean length of the novels is greater than 50,000 words: $H_{1} : μ > 50000$ .

Step 4 ：This hypothesis test is a one-tailed test because we are only interested in whether the mean is greater than 50,000, not if it is less than or equal to.

Step 5 ： $H_{0} : μ = 50000, H_{1} : μ > 50000$

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