Question 1110954
(a) level of significance is 1%
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The null and alternative hypotheses are H0: μ = 16.4 ft; H1: μ > 16.4 ft
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(b)  Use the standard normal, since the sample size is large and σ is known
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Note σ is the standard deviation of the population
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Here n=34, which has a square root of 5.831 so the standard error is 3.5/5.831 = 0.6002. 
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Our test statistic is z = (17.1 - 16.4)/0.6002 = 1.1663
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Using z-tables the probability associated with 1.1663 is 0.8783, this is our p-value
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since our p-value is > 0.01, we accept the null hypothesis which is that the storm is not increasing above the severe rating
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