[Step-by-Step] According to Farming Today (February 28, 2008), the mean number of sunny days per year is 187 with a standard deviation of 53 days per year. Assume
Question: According to Farming Today (February 28, 2008), the mean number of sunny days per year is 187 with a standard deviation of 53 days per year. Assume that these results apply to the entire history of the United States and that the distribution of sunny days is relatively normal. A sample of 38 years is selected. The mean of the sample is 183.2 sunny days per year with a standard deviation of 43 days per year.
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In this problem identify the following variables:
= _______, = ______, \[\bar{x}\] = _______, s = ____, and n = ______ - What is the probability that a single year from the population will have 177 or more sunny days?
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What is the value of the standard error of the mean for this problem?
D. What is the probability that a sample mean from a sample of any 38 years will be equal to or more than 186 sunny days per year?
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