Question

Please show every step

3) A dairy processing company claims that the mean amount of fat in the whole milk processed by the company is 23.3 ml per gallon. You suspect this is wrong and find that a random sample of 40 milk containers has a mean amount of fat 24.3 ml per gallon with a standard deviation of 5.3 ml per gallon. At a confidence level of 95%, is there enough evidence to reject the company's claim? a. Write the appropriate hypothesis statement. b. Are the necessary assumptions/conditions to make inferences satisfied? hat kind of test you are going to perform? Find the statistic c. W test d. Based on your findings on c. evaluate the p-value e. State your conclusions in the context of the problem

Answer 1

a)

Ho:mean amount of fat in whole milk processed by company is 23.3 ml per gallon

H1:mean amount of fat in whole milk processed by company is not equal to 23.3 ml per gallon

b)

assumptions are met

random samples are used,normal distributed population

c)

t-test for one population mean for two tailed

d)

p-value=0.24

p-value>0.05,do not reject Ho

e)

there is not enough evidence to reject the company claim that mean amount of fat in whole milk processed by company is 23.3 ml per gallon