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Chapter 6: Q.40 (page 386)

About what percent of x values lie between the first and third standard deviations(both sides)?

Short Answer

Expert verified

About 32% of the x values from normal distribution will lie between first and third standard deviation.

Step by step solution

01

Given information

Given in the question that, We have to find the percent of xvalues lie between the first and third standard deviations(both sides).

02

Explanation

According to the empirical rule of normal distribution, within one standard deviation of the mean, there are approximately 68%values of xlies and within three standard deviations of the mean, there are approximately 99.7%values of xlies. So, the percent of the xvalues from normal distribution lie between first and third standard deviation from the mean will be:

=99.7%鈭�68%

=31.7%

鈮�32%

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Most popular questions from this chapter

X~N(3,5)蟽=____________

SupposeX~N(鈥�3,1).Between what xvalues does 95.45%of the data lie? The range of xvalues is centered at the mean of the distribution(i.e., 鈥�3).

Table 6.4 shows a sample of the maximum capacity (maximum number of spectators) of sports stadiums. The table does not include horse-racing or motor-racing stadiums.

a. Calculate the sample mean and the sample standard deviation for the maximum capacity of sports stadiums (the data).

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The length of time to find it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes. If the mean is significantly greater than the standard deviation, which of the following statements is true?

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II. The data cannot follow the exponential distribution..

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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.

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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.
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