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mean

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Question

A dairy manager would like to estimate the mean number of one

gallon milk sold. Assuming that the gallons of milk sold follows the normal distribution with a population standard deviation of 3.01. The manager selects a random sample of 75 sales and finds the mean number of one gallon milk sold is 7.85.

a.      What is the estimate of the population mean? 

b.      What is the population mean with 99% confidence interval?

c.      What does your result in part (b) say about the population mean?

 
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mean

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Question

The mean weight of bushels of wheat sold

by a farmer is not known. The farmer needs an estimate of the population mean. He selects and weighs a sample of 55 bushels and finds the mean weight is 80 pounds. The population standard deviation is 3.8 pounds. What is the 90% confidence interval for the population mean?

 
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equation

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Question

I need to learn how to work this problem (NOT USING EXCEL). I am studying for a text and my brain just doesn’t get

these. I know this is a 2 sample equation but need help with formula. Thank you.

A survey of high school boys and girls using Facebook per day is shown below:

Sample # Boys = 45, Girls = 33

Sample Mean Boys = 40, Girls = 30

Population Standard Deviation Boys = 8, Girls = 9

At the .01 significance level, is there a difference in the mean num

 
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alternative hypotheses.

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Question

I have worked both of these to get the null and alternative, I just need a double check because I am not 100% I am

thinking through these correctly.

a. The average price of automobiles sold by a dealership is $24500. The dealership own believes that the average price is higher. A sample of 400 cars sold showed that the average price per car is $25100. Define the null and alternative hypotheses.

b. A number of marathon runners are practicing for a 42.195 kilometers race. The practice distances is normally distributed with a population standard deviation of 5 kilometers. The coaches believe that the runners cover longer distances than 42.195 kilometers to be better prepared for the actual race. A sample of 25 runners practice records showed that the mean practice distance is 43 kilometers. Specify the alternative hypothesis.

 
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