For a sample size 16, the sampling distribution of the mean will be approximately normally distributed:

A. regardless of the shape of the population
B. if the shape of the population is symmetrical
C. if the sample standard deviation is known
D. if the sample is normally distributed

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B.

16 is a pretty small sample size. However, if you are taking ...

Solution Summary

This solution briefly provides an explanation for statistical concepts which include sampling and normal distribution.

As a sample size approaches infinity, how does the t-distribution compare to the normal z distribution? When you draw a sample from a normaldistribution, what can you conclude about the sampledistribution? Explain.

In what ways is the t distribution similar to the standard normaldistribution?
In what ways is the t distribution different from the standard normaldistribution?
How does the formula for the t test differ from the formula for the z test?

Which of the following is true about the sampling distribution of the sample mean?
A. The mean of the sampling distribution is always "u"
B. The standard deviation of the sampling distribution is always "o"
C. The shape of the sampling distribution is always approximately normal
D. All of the above

Describe the properties of a normaldistribution. Explain why there are an infinite number of normaldistributions. Why do you want to assume that your sample data represent a population distribution?

The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50
with a standard deviation of $5.00. Assume the distribution of amounts purchased follows
the normaldistribution. For a sample of 50 customers, answer the following questions.
a. What is the likelihood the sample mean is at least $25.00?
b

The Sony corporation produces a Walkman that requires two AA Batteries. The mean life of these batteries in this product is 35.0 hours. The distribution of the battery lives closely follows the normal probability distribtion with a standard deviation of 5.5 hours. As a part of their testing program Sony tests samples of 25 batte

1. A normaldistribution has a mean of 50 and a standard deviation of 4. Determine the value below which 95 percent of the observations will occur.
2. A normaldistribution has a mean of 60 and a standard deviation of 12. You select a random sample of 9. Compute the probability the sample mean is:
A. Greater than 63

The diameter of small Nerf balls manufactured at a factory in china is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of 0.08 inches. suppose a random sample of 20 balls are selected, what percentage of sample means will be less than 5.15 inches?