Science fiction novels average 270 pages in length. The average length of 10 ran

Question

Science fiction novels average 270 pages in length. The average length of 10 randomly chosen novels written by I.M. Wordy was 335 pages in length with a standard deviation of 30. At alpha= 0.05, are Wordy's novels significantly longer than the average science fiction novel? Use alpha=0.10 level of significance.

State null and alternative hypothesis, compute the p-value, and state conclusion as it relates to the problem.

Also, since it says "longer," does that mean the alternate hypothesis is greater than? And why are there two alpha values?

Thanks!

Perform hypothesis tests on the following question 6-10. Be sure to include: i. State the appropriate null and alternate hypotheses. ii. Compute the p-value. iii. State a conclusion as it relates to the problem. ré (14 points each) Science fiction novels average 270 pages in length. The average length of 10 randomly chosen novels written by I. M. Wordy was 335 pages in length with a standard deviation of 30. At = 0.05, are Wordy's novels significantly longer than the average science fiction novel? Use a -30 level of significance.

Explanation / Answer

hypothesis

Ho: u =270

Ha: u > 270

test static = 335 -270/30/sqrt(10)

= 6.8516

p-value = t-value(6.8516 , 9) = 0.000037

hence it is significant at 0.05

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