Non-returnable beverage containers: Statistic discussion questions Part 1 Question 1 In a poll of 500 voters in a campaign to eliminate non-returnable be

Non-returnable beverage containers: Statistic discussion questions Part 1

Question 1

In a poll of 500 voters in a campaign to eliminate non-returnable beverage containers, 275 of the voters were opposed. Develop a 95% confidence interval estimate for the proportion of all the voters who opposed the container control bill.

Question 2

A random sample of 87 airline pilots had an average yearly income of $97,000 with a standard deviation of $3,000.

If we want to determine a 95% confidence interval for the average yearly income, what is the value of t?
What are the degrees of freedom for this problem, and how is this value calculated?
Develop a 95% confidence interval for the average yearly income of all pilots.

Question 3

In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 100 pieces of carry-on luggage was collected and weighed. The average weight was 34 pounds. Assume that we know the standard deviation of the population to be 5 pounds.

Determine a 90% confidence interval estimate for the mean weight of the carry-on luggage.
What determined whether you used a t value or a z value?

Question 4

A statistician employed by a consumer testing organization reports that at 95% confidence he has determined that the true average content of the Uncola soft drinks is between 11.9 to 12.1 ounces. He further reports that his sample revealed an average content of 12 ounces, but he forgot to report the size of the sample he had selected. Assuming the standard deviation of the population is 0.5, determine the size of the sample.

Part 2

First, list the general steps from your textbook of hypothesis testing at the top of your paper. You are doing hypothesis testing for the whole assignment, so the steps you list need to be followed in each problem. https://ambassadored.vitalsource.com/#/books/97812…

Question 1

A sample of 64 account balances of a credit company showed an average balance of $1,125 with a sample standard deviation of $126.

State your “givens” for the prompt.
What kind of test (t or z values) will you use, and why?
Is this one-tailed or two-tailed, and how do you know?
Formulate the hypotheses that can be used to determine whether the mean of all account balances is significantly different from $1,200.
Compute the test statistic. Show your formula and what numbers you plugged in.
Using the p-value approach, what is your conclusion? Let ? = .05.

Question 2

This is a good resource for this problem. https://stattrek.com/hypothesis-test/difference-in…

p. 485 may also help.

During the recent primary elections, the democratic presidential candidate showed the following pre-election voter support in Alabama and Mississippi.

We want to determine whether or not the proportions of voters favoring the Democratic candidate were the same in both states. Provide the hypotheses (both null and alternative) Then
Calculate the proportion of voters in favor of the Democratic candidate for each state.
I recommend going to the website above for guidance. I want to see the work in calculating the pooled sample proportion and the standard error..
Compute the test statistic. Show your work.
Determine the p-value (show your work from the z value to the p value); and at 95% confidence, test the above hypotheses.
State your conclusion. Do we reject or fail to reject the null hypothesis? Why?

Question 3

In order to estimate the difference between the yearly incomes of marketing managers in the East and West of the United States, the following information was gathered. The values of 72 and 78 are means.

Develop an interval estimate for the difference between the average yearly incomes of the marketing managers in the East and West. Use ? = 0.05. You will need to state your hypotheses.
Show your calculation for the degrees of freedom
Show your calculation for the interval including the formula and how you plugged in the numbers.
At 95% confidence, use the p-value approach and test to determine if the average yearly income of marketing managers in the East is significantly different from the West. Show the calculation of p. Should we reject or fail to reject the null hypothesis? Why?