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Here you will receive one confidence interval question. You will need to calculate a confidence interval AND use it to determine whether we will reject or fail to reject a null hypothesis. You can take it as many times as you'd like.  A researcher wanted to know whether novels that are being written during the pandemic are of a different length than normal. She took ten novels written during the pandemic and found that they had a mean length of 345 pages (SD = 11). If the average length for a novel normally is 320 pages, conduct a 95% confidence interval for these data and use it to determine whether she should reject or fail to reject her null hypothesis. Don't forget to write your hypotheses for this problem as well.

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Answer to a math question Here you will receive one confidence interval question. You will need to calculate a confidence interval AND use it to determine whether we will reject or fail to reject a null hypothesis. You can take it as many times as you'd like.  A researcher wanted to know whether novels that are being written during the pandemic are of a different length than normal. She took ten novels written during the pandemic and found that they had a mean length of 345 pages (SD = 11). If the average length for a novel normally is 320 pages, conduct a 95% confidence interval for these data and use it to determine whether she should reject or fail to reject her null hypothesis. Don't forget to write your hypotheses for this problem as well.

Expert avatar
Hermann
4.6
128 Answers
\bar{x} = 345
SD = 11
n = 10
df = n - 1 = 9
t^* = 2.262
SE = \frac{SD}{\sqrt{n}} = \frac{11}{\sqrt{10}} \approx 3.48
CI = \bar{x} \pm t^* \cdot SE
CI = 345 \pm 2.262 \cdot 3.48
CI = 345 \pm 7.87
CI = [337.13, 352.87]

Since the interval does not include 320, we reject the null hypothesis.
\text{Answer: [337.13, 352.87]}

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