Scientists collect data on the blood cholesterol levels (milligrams per deciliter of blood) of a random sample of 24 laboratory rats. A 95% confidence interval for the mean blood cholesterol level μ is 80.2 to 89.8. Which of the following would cause the most worry about the validity of this interval?

(a) There is a clear outlier in the data.

(b) A stemplot of the data shows a mild right skew.

(c) You do not know the population standard deviationσ.

(d) The population distribution is not exactly Normal.

(e) None of these are a problem when using a t interval.

Question

Athena Mathis

Mathematics

6 May, 20:41

Scientists collect data on the blood cholesterol levels (milligrams per deciliter of blood) of a random sample of 24 laboratory rats. A 95% confidence interval for the mean blood cholesterol level μ is 80.2 to 89.8. Which of the following would cause the most worry about the validity of this interval?

(a) There is a clear outlier in the data.

(b) A stemplot of the data shows a mild right skew.

(c) You do not know the population standard deviationσ.

(d) The population distribution is not exactly Normal.

(e) None of these are a problem when using a t interval.

+3

Answers (1)

Know the Answer?

Micah · Answer 1

Answer: (a) There is a clear outlier in the data.

Step-by-step explanation:

The statement relates that sample = 24

Confidence interval = 80.2 to 89.8.

Now the data does not mention anywhere the standard deviation which is an important parameter in using the t-procedure rather we assume that standard deviation is not known. So, the most worrying part is the skewness and the presence of strong outliers in the t-procedure.

So, the option a) is correct meaning a clear outlier in the data.