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Chapter 6: Q.6.60 (page 389)

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3days and a standard deviation of 2.1days.

What is the median recovery time?

a. 2.7

b. 5.3

c. 7.4

d. 2.1

Short Answer

Expert verified

The median recovery time is 5.3years and the correct answer is option (b)

Step by step solution

01

Given information

Given in the question that

Mean=5.3

Standard deviation=2.1

02

Solution

Here we know that in normal distribution the mean, median and mode have the same value.

So the median recovery time will be equal to the mean recovery time.

That is the value of median recovery time is 5.3years

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Most popular questions from this chapter

In the 1992 presidential election, Alaska's 40 election districts averaged 1,956.8 votes per district for President Clinton. The standard deviation was 572.3. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X=the number of votes for President Clinton for an election district be known.

a. State the approximate distribution of X

b. Is 1,956.8a population mean or a sample mean? How do you know?

c. Find the probability that a randomly selected district had fewer than 1,600votes for President Clinton. Sketch the graph and write the probability statement.

d. Find the probability that a randomly selected district had between 1,800and 2,000votes for President Clinton.

e. Find the third quartile for votes for President Clinton.

X~N(1,2)

蟽=

Use the following information to answer the next four exercises:

X~N(54,8)

Find the probability thatx>56.

In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5hours and the amount of time spent alone is normally distributed. We randomly select one Chinese four-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.

a. In words, define the random variable X

b.X~

c. Find the probability that the child spends less than one hour per day unsupervised. Sketch the graph, and write the probability statement.

d. What percent of children spend over ten hours per day unsupervised?

e. Seventy percent of the children spend at least how long per day unsupervised?

What is the z-score of x= 7, if it is 0.133 standard deviations to the left of the mean?
See all solutions

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