Chapter 6: Q.14 (page 385)
What is the z-score of x= , if it is standard deviations to the left of the mean?
Short Answer
The score is
Chapter 6: Q.14 (page 385)
What is the z-score of x= , if it is standard deviations to the left of the mean?
The score is
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Get started for freeThe heights of the National Basketball Association players were listed on team rosters at the start of the season. The heights of basketball players have an approximately normal distribution with mean, inches and a standard deviation, inches. For each of the following heights, calculate the z-score and interpret it using complete sentences
a. inches
b. inches
c. If an NBA player reported his height had a z-score of , would you believe him? Explain your answer
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 the number of votes for President Clinton for an election district be known.
a. State the approximate distribution of
b. Is a population mean or a sample mean? How do you know?
c. Find the probability that a randomly selected district had fewer than votes for President Clinton. Sketch the graph and write the probability statement.
d. Find the probability that a randomly selected district had between and votes for President Clinton.
e. Find the third quartile for votes for President Clinton.
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days.
a. In words, define the random variable X.
b. X ~ _____(_____,_____)
c. If one of the trials is randomly chosen, find the probability that it lasted at least 24 days. Sketch the graph and write the probability statement.
d. Sixty percent of all trials of this type are completed within how many days?
About what percent of values lie between the first and second standard deviations from the mean (both sides)?
The golf scores for a school team were normally distributed with a mean of and a standard deviation of three.
Find the probability that a golfer scored between and
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