Question
In: Math
Suppose that a category of world class runners are known to run a marathon (26 miles)...
Suppose that a category of world class runners are known to run
a marathon (26 miles) in an average of 149 minutes with a standard
deviation of 12 minutes. Consider 49 of the races.
Let X = the average of the 49 races.
a.) X ~ N (149, ? )
b.Find the probability that the runner will average between 148 and 151 minutes in these 49 marathons. (Round your answer to four decimal places.)
c. Find the 80th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)
d. Find the median of the average running times.
Solutions
milcah answered 2 months agoRelated Solutions
Suppose that a category of world class runners are known to run a marathon (26 miles)...
Suppose that a category of world class runners are known to run
a marathon (26 miles) in an average of 145 minutes with a standard
deviation of 15 minutes. Consider 49 of the races.
Let
X = the average of the 49 races.
Part (a)
Give the distribution of
X.
(Round your standard deviation to two decimal places.)
X~
Part (b)
Find the probability that the runner will average between 143
and 148 minutes in these 49 marathons. (Round your...
Suppose that a category of world class runners are known to run a marathon (26 miles)...
Suppose that a category of world class runners are known to run
a marathon (26 miles) in an average of 146 minutes with a standard
deviation of 12minutes. Consider 49 of the races.
Let X = the average of the 49 races.
a)Give the distribution of X. (Round your standard deviation to
two decimal places.)
X~___(___,___)
b)Find the probability that the average of the sample will be
between 145 and 148 minutes in these 49 marathons. (Round your
answer to...
Suppose that a category of world class runners are known to run a marathon (26 miles)...
Suppose that a category of world class runners are known to run
a marathon (26 miles) in an average of 141 minutes with a standard
deviation of 12 minutes. Consider 49 of the races. Let X = the
average of the 49 races. Part (a) Give the distribution of X.
(Round your standard deviation to two decimal places.) X ~ , Part
(b) Find the probability that the runner will average between 138
and 142 minutes in these 49 marathons....
PRACTICE ANOTHER Suppose that a category of world class runners are known to run a marathon...
PRACTICE ANOTHER
Suppose that a category of world class runners are known to run
a marathon (26 miles) in an average of 149 minutes with a standard
deviation of 12 minutes. Consider 49 of the races.
Let X = the average of the 49 races.
Find the 70th percentile for the average of these 49 marathons.
(Round your answer to two decimal places.)
World class marathon runners are known to run that distance (26.2 miles) in an average of...
World class marathon runners are known to run that distance
(26.2 miles) in an average of 146 minutes with a standard deviation
of 15 minutes.
If we sampled a group of world class runners from a particular
race, find the probability of the following:
**(use 4 decimal places)**
a.) The probability that one runner chosen at random finishes the
race in less than 140 minutes.
b.) The probability that 10 runners chosen at random have an
average finish time of...
World class marathon runners are known to run that distance (26.2 miles) in an average of...
World class marathon runners are known to run that distance
(26.2 miles) in an average of 146 minutes with a standard deviation
of 15 minutes.
If we sampled a group of world class runners from a particular
race, find the probability of the following:
**(use 4 decimal places)**
a.) The probability that one runner chosen at random finishes the
race in less than 140 minutes.
b.) The probability that 10 runners chosen at random have an
average finish time of...
World class marathon runners are known to run that distance (26.2 miles) in an average of...
World class marathon runners are known to run that distance
(26.2 miles) in an average of 146 minutes with a standard deviation
of 14 minutes.
If we sampled a group of world class runners from a particular
race, find the probability of the following:
**(use 4 decimal places)**
a.) The probability that one runner chosen at random finishes the
race in less than 140 minutes.
b.) The probability that 10 runners chosen at random have an
average finish time of...
World class marathon runners are known to run that distance (26.2 miles) in an average of...
World class marathon runners are known to run that distance
(26.2 miles) in an average of 143 minutes with a standard deviation
of 13 minutes.
If we sampled a group of world class runners from a particular
race, find the probability of the following:
**(use 4 decimal places)**
a.) The probability that one runner chosen at random finishes the
race in less than 137 minutes.
b.) The probability that 10 runners chosen at random have an
average finish time of...
The amount of time runners take to run a marathon is believed to be uniformly distributed...
The amount of time runners take to run a marathon is believed to
be uniformly distributed after running for four hours. The
following is the observed number of runners and the length of time
it takes to cross the finish line. Carry out the Chi Square
Goodness of fit test.
Hypothesis:
Calculation: Find each expected count and find each chi square
value, total value and pvalue.
4-4.5 hours
4.5-5 hours
5-5.5 hours
5.5-6 hours
6-6.5 hours
6.5 + hours
Total...
Write a program to calculate the time to run 5 miles, 10 miles, half marathon, and...
Write a program to calculate the time to run 5 miles, 10 miles,
half marathon, and full marathon if you can run at a constant
speed. The distance of a half marathon is 13.1 miles and that of a
full marathon is 26.2 miles. Report the time in the format of hours
and minutes. Your program will prompt for your running speed (mph)
as an integer.
Write a program that displays the Olympic rings. Color the rings
in the Olympic...
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