Suppose the Ages of Students in Statistics 101 Follow a Right

question 16

Multiple Choice

Suppose the ages of students in Statistics 101 follow a right skewed distribution with a mean of 23 years and a standard deviation of 3 years. If we randomly sampled 100 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?

• A) The mean of the sampling distribution is equal to 23 years.
• B) The standard deviation of the sampling distribution is equal to 3 years.
• C) The shape of the sampling distribution is approximately normal.
• D) The standard error of the sampling distribution is equal to 0.3 years.

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Definitions:

Hypothesis

An educated guess or proposed explanation made on the basis of limited evidence as a starting point for further investigation.

Sick Leave Percentage

The ratio or percentage of an employee's work time missed due to illness.

P-value

The probability of observing a test statistic as extreme as, or more extreme than, the value observed under the assumption that the null hypothesis is true.

Sampling Variation

The variability in sample statistics from sample to sample due to randomness.