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Douglas is a farmer who believes that the population mean amount of milk his cow produces per day is 7 gallons. To test this, he randomly selects 31 days and records the number of gallons the cow produces each day. The sample mean is 6.9 gallons with a sample standard deviation of 0.3 gallon. The test statistic t for a hypothesis test of Ho : ,1-7 versus Ha 7 is1.86, which has 30 degrees of freedom. If 0.05

Douglas is a farmer who believes that the population mean amount of milk his cow produces per day is 7 gallons. To test this, he randomly selects 31 days and records the number of gallons the cow produces each day. The sample mean is 6.9 gallons with a sample standard deviation of 0.3 gallon. The test statistic t for a hypothesis test of Ho : ,1-7 versus Ha 7 is1.86, which has 30 degrees of freedom. If 0.05

MATLAB: An Introduction with Applications
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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Douglas is a farmer who believes that the population mean amount of milk his cow produces per day is 7 gallons. To test this, he randomly selects 31 days and records the number of gallons the cow produces each day. The sample mean is 6.9 gallons with a sample standard deviation of 0.3 gallon. The test statistic t for a hypothesis test of Ho : ,1-7 versus Ha 7 is1.86, which has 30 degrees of freedom. If 0.05 <p-value< 0.10 and the level of significance is α = 0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount of milk Douglas' cow produces per day is significantly not equal to 7 gallons? Select all that apply: Fail to reject the null hypothesis that the true population mean amount of milk Douglas' cow produces per day is equal to 7 gallons Reject the null hypothesis that the true population mean amount of milk Douglas' cow produces per day is equal to 7 gallons There is not enough evidence at the α-0.05 level of significance to suggest that the true population mean amount of milk Douglas' cow produces per day is not equal to 7 gallons. There is enough evidence at the α-0.05 level of significance to support the claim that the true population mean amount of milk Douglas' cow produces per day is not equal to 7 gallons.
Transcribed Image Text:Douglas is a farmer who believes that the population mean amount of milk his cow produces per day is 7 gallons. To test this, he randomly selects 31 days and records the number of gallons the cow produces each day. The sample mean is 6.9 gallons with a sample standard deviation of 0.3 gallon. The test statistic t for a hypothesis test of Ho : ,1-7 versus Ha 7 is1.86, which has 30 degrees of freedom. If 0.05 <p-value< 0.10 and the level of significance is α = 0.05, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean amount of milk Douglas' cow produces per day is significantly not equal to 7 gallons? Select all that apply: Fail to reject the null hypothesis that the true population mean amount of milk Douglas' cow produces per day is equal to 7 gallons Reject the null hypothesis that the true population mean amount of milk Douglas' cow produces per day is equal to 7 gallons There is not enough evidence at the α-0.05 level of significance to suggest that the true population mean amount of milk Douglas' cow produces per day is not equal to 7 gallons. There is enough evidence at the α-0.05 level of significance to support the claim that the true population mean amount of milk Douglas' cow produces per day is not equal to 7 gallons.
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