Do female college students spend more time than male college students watching TV? This was one of the questions investigated by the authors of an article. Each student in a random sample of 46 male students at a university in England and each student in a random sample of 38 femalestudents from the same university kept a diary of how he or she spent time over a three-week period. For the sample of males, the mean time spent watching TV per day was 68.9minutes and the standard deviation was 67.5 minutes. For the sample of females, the mean time spent watching TV per day was 93.3 minutes and the standard deviation was 89.1 minutes. Is there convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students? Test the appropriate hypotheses using ? = 0.05. (Use a statistical computer package to calculate the P-value. Use μmales − μfemales. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.) t = df = P-value = State your conclusion. Reject H0. We do not have convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students.Fail to reject H0. We have convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students. Fail to reject H0. We do not have convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students.Reject H0. We have convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students.

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Description: Do female college students spend more time than male college students watching TV? This was one of the questions investigated by the authors of an article. Each student in a random sample of 46 male students at a university in England and each studen

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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Do female college students spend more time than male college students watching TV? This was one of the questions investigated by the authors of an article. Each student in a random sample of 46 male students at a university in England and each student in a random sample of 38 femalestudents from the same university kept a diary of how he or she spent time over a three-week period.

For the sample of males, the mean time spent watching TV per day was 68.9minutes and the standard deviation was 67.5 minutes. For the sample of females, the mean time spent watching TV per day was 93.3 minutes and the standard deviation was 89.1 minutes. Is there convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students? Test the appropriate hypotheses using

? = 0.05.

(Use a statistical computer package to calculate the P-value. Use μ_males − μ_females. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)

t	=
df	=
P-value	=

State your conclusion.

Reject H₀. We do not have convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students.Fail to reject H₀. We have convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students. Fail to reject H₀. We do not have convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students.Reject H₀. We have convincing evidence that the mean time female students at this university spend watching TV is greater than the mean time for male students.

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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