A fitness center is interested in finding a 95% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 213 members were looked at and their mean number of visits per week was 2.5 and the standard deviation was 2.8.a. To compute the confidence interval use a distribution.b. With 95% confidence the population mean number of visits per week is between and visits.c. If many groups of 213 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week. A fitness center is interested in finding a 95% confidence interval for the mean number of daysper week that Americans who are members of a fitness club go to their fitness center. Records of213 members were looked at and their mean number of visits per week was 2.5 and the standarddeviation was 2.8.a. To compute the confidence interval use a ? ✓ distribution.b. With 95% confidence the population meant ber of visits per week is betweenandvisits.c. If many groups of 213 randomly selected members are studied, then a different confidenceinterval would be produced from each group. Aboutpercent of these confidenceintervals will contain the true population mean number of visits per week and aboutpercent will not contain the true population mean number of visits per week.

From the provided information, Sample size (n) = 213 Sample mean (x̄) = 2.5 Sample standard…

Answered: A fitness center is interested in…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A fitness center is interested in finding a 95% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 213 members were looked at and their mean number of visits per week was 2.5 and the standard deviation was 2.8.

a. To compute the confidence interval use a distribution.

b. With 95% confidence the population mean number of visits per week is between and visits.

c. If many groups of 213 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of visits per week and about percent will not contain the true population mean number of visits per week.

A fitness center is interested in finding a 95% confidence interval for the mean number of days
per week that Americans who are members of a fitness club go to their fitness center. Records of
213 members were looked at and their mean number of visits per week was 2.5 and the standard
deviation was 2.8.
a. To compute the confidence interval use a ? ✓ distribution.
b. With 95% confidence the population meant ber of visits per week is between
and
visits.
c. If many groups of 213 randomly selected members are studied, then a different confidence
interval would be produced from each group. About
percent of these confidence
intervals will contain the true population mean number of visits per week and about
percent will not contain the true population mean number of visits per week.

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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