For each of these problems, perform the following steps.

a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

To increase egg production, a farmer decided to increase the amount of time the lights in his hen house were on. Ten hens were randomly selected, and the number of eggs each produced was recorded. After one week of lengthened light time, the same hens were monitored again. The data are given here. At α = 0.05, can it be concluded that the increased light time increased egg production?

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Hen Before After 1 2 3 4 5 6 7 8 9 10 438 7 64 976 5 6 59 7 4 5 10 6 9 6