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Chapter 7: Q. 15 (page 428)

Find the percentage of sums between 1.5 standard deviations below the mean and one standard deviation above the mean.

Short Answer

Expert verified

MEAN is used to calculate the entire data in statistical terms.

Step by step solution

01

Given information

Explanation:

The sample size of forty is randomly drowned from cholesterol with mean180and standard deviation20. The mean of sums is given as:

∑X=(n)(μX)−(z)(n)(σX)

7326.49

The sum that is1.5the standard deviation below the mean of the 7010.26sum is given as;

ΣX=(n)(μX)−(z)(n)(σX)

7010.26

The percentage for the sums between the standard deviation below the mean of sums and the standard deviation above the mean of the sum is 77.45%.

02

Final answer

The percentage for the given standard deviation is 77.45%.

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Most popular questions from this chapter

Determine which of the following are true and which are false. Then, in complete sentences, justify your answers.

a. When the sample size is large, the mean of X¯is approximately equal to the mean of X.

b. When the sample size is large, X¯is approximately normally distributed.

c. When the sample size is large, the standard deviation of X¯is approximately the same as the standard deviation of X.

In a city, 46percent of the population favor the incumbent, Dawn Morgan, for mayor. A simple random sample of500is taken. Using the continuity correction factor, find the probability that at least 250 favor Dawn Morgan for mayor.

A manufacturer produces 25 -pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.

Draw the graph from the exercise7.43.

A uniform distribution has a minimum of six and a maximum of ten. A sample of 50is taken.

Find the first quartile for the sums.

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