Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places. Fran is training for her first marathon, and she wants to know if there is a significant difference betweenthe mean number of miles run each week by group runners and individual runners who are training formarathons. She interviews 37 randomly selected people who train in groups, and finds that they run amean of 47.7 miles per week. Assume that the population standard deviation for group runners is knownto be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own andfinds that they run a mean of 49.4 miles per week. Assume that the population standard deviation forpeople who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Letgroup runners training for marathons be Population 1 and let individual runners training for marathonsbe Population 2.Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

The objective of this question is to test the claim that there is a significant difference between…

Answered: Fran is training for her first…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2.

Step 2 of 3 :

Compute the value of the test statistic. Round your answer to two decimal places.

Fran is training for her first marathon, and she wants to know if there is a significant difference between
the mean number of miles run each week by group runners and individual runners who are training for
marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a
mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known
to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and
finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for
people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let
group runners training for marathons be Population 1 and let individual runners training for marathons
be Population 2.
Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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