A student claims that statistics students at her school spend, on average, an hour doing statistics homework each night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are taking statistics currently and asks them how much time they spend completing statistics homework each night. Here are the data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statistical evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour. What are the appropriate hypotheses?H0: μ = 1 versus Ha: μ < 1, where μ = the mean amount of time that the selected students spend doing statistics homework each nightH0: μ = 1 versus Ha: μ > 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each nightH0: μ = 1 versus Ha: μ < 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each nightH0: μ = 1 versus Ha: μ > 1, where μ = the true mean amount of time that the selected students spend doing statistics homework each night A student claims that statistics students at her school spend, on average, an hour doing statistics homework eachnight. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are takingstatistics currently and asks them how much time they spend completing statistics homework each night. Here arethe data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statisticalevidence that the true mean amount of time that statistics students spend doing statistics homework each night isless than one hour. What are the appropriate hypotheses?O Ho: μ = 1 versus Ha: µ< 1, where µ = the mean amount of time that the selected students spend doing statisticshomework each nightHo: μ = 1 versus H₂₁: µ > 1, where µ = the true mean amount of time that statistics students spend doing statisticshomework each nightO Ho: μ = 1 versus H₂: µ< 1, where u = the true mean amount of time that statistics students spend doing statisticshomework each nightO Ho: μ = 1 versus Ha: > 1, where μ = the true mean amount of time that the selected students spend doingstatistics homework each nightO

Null and alternative hypotheses: The hypothesis, which is pre assumed as true, tentatively settled…

Answered: A student claims that statistics…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A student claims that statistics students at her school spend, on average, an hour doing statistics homework each night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are taking statistics currently and asks them how much time they spend completing statistics homework each night. Here are the data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statistical evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour. What are the appropriate hypotheses?

H₀: μ = 1 versus H_a: μ < 1, where μ = the mean amount of time that the selected students spend doing statistics homework each night

H₀: μ = 1 versus H_a: μ > 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each night

H₀: μ = 1 versus H_a: μ < 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each night

H₀: μ = 1 versus H_a: μ > 1, where μ = the true mean amount of time that the selected students spend doing statistics homework each night

A student claims that statistics students at her school spend, on average, an hour doing statistics homework each
night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are taking
statistics currently and asks them how much time they spend completing statistics homework each night. Here are
the data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statistical
evidence that the true mean amount of time that statistics students spend doing statistics homework each night is
less than one hour. What are the appropriate hypotheses?
O Ho: μ = 1 versus Ha: µ< 1, where µ = the mean amount of time that the selected students spend doing statistics
homework each night
Ho: μ = 1 versus H₂₁: µ > 1, where µ = the true mean amount of time that statistics students spend doing statistics
homework each night
O Ho: μ = 1 versus H₂: µ< 1, where u = the true mean amount of time that statistics students spend doing statistics
homework each night
O Ho: μ = 1 versus Ha: > 1, where μ = the true mean amount of time that the selected students spend doing
statistics homework each night
O

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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