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Chapter 6: Q.6.61 (page 389)

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

What is the z-score for a patient who takes ten days to recover?

a. 1.5

b. 0.2

c. 2.2

d. 7.3

Short Answer

Expert verified

Option (c) is the correct answer because the value of the z-score of ten days is2.2.

Step by step solution

01

Given information

Given in the question that

Mean=5.3

Standard deviation=2.1

02

Solution

Here we need to calculate the z-score of 10days

z鈭�score=10鈭�渭蟽

=10鈭�5.32.1

=4.72.1

鈮�2.2

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Most popular questions from this chapter

15. Suppose X ~ N(2, 6). What value of x has a z-score of three?

We flip a coin \(100\) times \((n = 100)\) and note that it only comes up heads \(20% (p = 0.20)\) of the time. The mean and standard deviation for the number of times the coin lands on heads is \(\mu=20\) and \(\sigma=4\) (verify the mean and standard deviation). Solve the following:

a. There is about a \(68%\) chance that the number of heads will be somewhere between ___ and ___.

b. There is about a ____chance that the number of heads will be somewhere between \(12\) and \(28\).

c. There is about a ____ chance that the number of heads will be somewhere between eight and \(32\).

In the 1992 presidential election, Alaska鈥檚 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 = number of votes for President Clinton for an election district.

a. State the approximate distribution of X.

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

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

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

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

齿词狈(鈥�4,1)

What is the median?

X~N(3,5)蟽=____________
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