If the sample size is 81 and the population standard deviation is 18, then the standard deviation of the sampling distribution for means is 2. True False

The distribution of sample variances tends to be a normal distribution. true or false?

The mean of a sampling distribution is smaller than the mean of the underlying population. True or false

If the sample size is 100 and the population standard deviation is 20, then the standard deviation of the sampling distribution for means is 2. O True O False

As the sample size​ increases, the mean of the sampling distribution ▼   stays the same. gets larger. gets smaller.

What is the equation for The standard deviation of the distribution of sample means

If the sample size is 100 and the population standard deviation is 40, then the standard deviation of the sampling distribution for means is 4. True False

Justin and Robbie are golfers. The distribution of Justin's golf scores has a mean of 225 and a standard deviation of 25. Robbie's golf score distribution has a mean of 240 and a standard deviation of 15. Both distributions are approximately normal and they are completely independent of each other. What is the closest probability that Justin will have a higher golf score than Robbie in a randomly selected golf round?

A random sample of 18 light bulbs is drawn from a normally distributed population. The population has mean and standard deviation are 517 hours and 39 hours, respectively. What is the mean of the sampling distribution the sample mean?

If we meet these conditions, the sampling distribution of the mean will have a normal shape and ... The mean of the sampling distribution will be u, (i.e., the same as the population mean) and the standard deviation of the sampling distribution will be (that's the population standard deviation divided by the square root of the sample size). In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n = 36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population mean, 30 text messages. If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we expect the sample means to vary? (hint, use the formula above) text messages