A random sample is drawn from a population with mean = 74 and standard deviation...

 

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A random sample is drawn from a population with mean μ = 74 and standard deviation σ= 6.2. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n=18 and n = 47 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n=18 will have a normal distribution. No, only the sample mean with n=47 will have a normal distribution. b. Calculate the probability that the sample mean falls between 74 and 77 for n=47. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability A random sample is drawn from a population with mean μ = 74 and standard deviation σ= 6.2. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n=18 and n = 47 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n=18 will have a normal distribution. No, only the sample mean with n=47 will have a normal distribution. b. Calculate the probability that the sample mean falls between 74 and 77 for n=47. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability

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Solution given mean u 74 standard deviation o 62 x formu... View the full answer