1.

For a population with mean 194.14 and standard deviation 32.66, what is the value of the standard deviation of the sampling distribution of the sample mean for samples of size 359?

Please give your answer correctly rounded to two decimal places.

2.

Sales in a caf are normally distributed with a mean of $12 and a standard deviation of $4.

A random sample of 25 sales is drawn from the population. What is the probability that the mean of this sample is less than $14?

P(Z < 2.5) = 0.4013P(Z < 2.5) = 1.0000P(Z < 2.5) = 0.5987P(Z < 2.5) = 0.9938P(Z < 2.5) = 0.0062

3.

Suppose that a random variable X is normally distributed with mean 89 and standard deviation 30. If a random sample of size 36 is taken, which of the following is the z value when Xis 119?

6.00-6.001.00-1.000.34

4.

When we use a 95% confidence interval (CI) to estimate a population mean, which of the following is correct?

We are 95% confident the sample mean lies outside the confidence interval.There is a 0.95 probability that the population mean lies within the confidence interval.There is a 0.95 probability that the sample mean lies within the confidence interval.We are 95% confident the sample mean lies within the confidence interval.We are 95% confident that the population mean lies within the confidence interval.Clear my choice