A random variable is normally distributed. It has a mean of 283 and a standard deviation of 21. If you take a sample of size 14, can you say what the shape of the sampling distribution for the sample mean is? Why? Ox O If the sample size is 14, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. O If the sample size is 14, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. O If the sample size is 14, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30. For a sample of size 14, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = = For a sample of size 14, find the probability that the sample mean is more than 280. P(x > 280) = If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is? Why? O If the sample size is 37, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30. O If the sample size is 37, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. If the sample size is 37, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30. For a sample of size 37, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary. Hx = For a sample of size 37, find the probability that the sample mean is more than 280.P(x > 280) =

Salaries for teachers in a particular state have a mean of $ 42000 and a standard deviation of $ 6900. Hint for parts a and b a. If we randomly select 15 teachers from that district, can you determine the sampling distribution of the sample mean? No C If yes, what is the name of the distribution? normal The mean? The standard error? b. If we randomly select 68 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution? The mean? The standard error?

Sh9 Please help me.

A simple random sample of size n is drawn. The sample mean, &, is found to be 17.7, and the sample standard deviation, s, is found to be 4.3. Click the icon to view the table of areas under the t-distribution.