The average 1-year-old (both genders) is 29 inches tall. A random sample of 30 1-year olds in a large day care franchise resulted in the following heights. At α = 0.05, can it be concluded that the average height differs from 29 inches? Assume σ = 2.61.

Perform each of 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 diagrams to show the critical region (or regions), and use the traditional method of hypothesis testing unless otherwise specified.

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25 3235 25 30 26.5 26 25.5 29.5 32 30 28.5 30 32 28 31.5 29 29.5 30 34 29 32 27 28 33 28 27 32 29 29.5