According to a study of the power quality (sags and swells) of a transformer, fo

Question

According to a study of the power quality (sags and swells) of a transformer, for transformers built for heavy industry, the distribution of the number of sags per week has a mean of 348 with a standard deviation of 30. Of interest is x, the sample mean number of sags per week for a random sample of 45 transformers Complete parts a through d below a. Find E(3) and interpret its value E(3)-348 (Type an integer or a decimal. Do not round.) Interpret the value of E () Select the correct choice below and illin the answer box to complete your choice (Type an integer or a decimal. Do not round) O A. sags per week If many random samples of 45 transformers are taken, ten the mean of the sample variances is For any random sample of 45 transformers, the mean number of sags per week is always 1451 B. f many random samples of 45 transformers are taken, then the mean of the sample standard deviations is sags per week I many random samples of 45 transformers are taken then the mean ofthe sample mean numbers of sags per week is c. 0 .

Explanation / Answer

Expectation of x - bar represents the mean of sample means. Hence,

Option D is the correct option and the correct answer for blank is 348.

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