1. Assume that you plan to use a significance level of ? = .05 to test the claim that p1 =p2. Use the given sample sizes and numbers of successes to find the pooled estimate p. Round to the nearest thousandth

n1 = 34 n2 = 414
x1 = 15 x2 =105

2. Assume that you plan to use a significance level of ? = .05 to test the claim that p1 =p2. Use the given sample sizes and numbers of successes to find the z test statistic for the hypothesis test.

3. In a vote on the Clean Water bill, 44% of the 205 Democrats voted for the bill while 46% of the 230 Republicans voted for it. Use the traditional method to test the given hypothesis. Assume that the samples are independent and that they have been randomly selected

4. In a random sample of 500 people aged 20-24 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Test the claim that the proportion of smokers in the two age group is the same. Use a significance level of .01

5. Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use the traditional method or P â?"value method as indicated.
A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called 50 randomly selected times. The calls to company A were made independently of the calls to company B. The response time for each call was recorded. The summary statistics were as follows:

Company A Company B
Mean response time
7.6 6.9
Standard deviation
1.4 1.7

Use a .02 significance level to test the claim that the mean response time for the company A is the same as the mean response time for company B. Use the P-value method of hypothesis testing

Solution Summary

Complete, Neat and Step-by-step Solutions are provided in the attached Excel file.

A sample mean, sample size, and population standard deviation are given. Use the P-value approach to perform a one-mean z-test about the mean of the population from which the sample was drawn.
x bar= 78, n = 28, sigma = 11, Hnought: mu=72, Hone: mu>72 , alpha = 0.01
First find the proper z value then use this to find the

18. The management of White Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7. Using the

Given the following hypothesis:
Ho: M = 400
H alternative: M not equal to 400
For a random sample of 12 observations, the sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
a. State the decision rule.
b. Compute the value of the test statistic.
c. What is your decision reg

You want to prove that a population mean is not 7. Data is ratio and a large sample size will be used (n = 225). When the sample is done the sample mean is computed to be 7.2 and the sample standard deviation is 1.5. Test the hypothesis using an alpha of 5%. Use formal hypothesis testing and compute the p-value.

Consider the following hypothesis test:
HO: µ ≥ 80
Ha: µ < 80
A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = .01.
a) x = 78.5
b) x = 77
c) x = 75.5
d) x = 81

From a population of cereal boxes marked "12 ounces," a sample of 16 boxes is selected and the contents of each box weighed. The sample revealed a mean of 11.7 ounces with a standard deviation of 0.8. Test to see if the mean of the population is at least 12 ounces. Use a 0.05 level of significance. (may use traditional or p-

1. Given the following data from two independent samples from which the population standard deviation is known, conduct a two-tailed hypothesis test to determine if the first sample mean is smaller than the second samplemean, given a 0.01 level of significance.
n1 = 42 n2 = 30
xbar1= 39 xbar2 = 25
sigma1=8 sigma2 = 6

I need help with proving that a population mean is not 150. Use an alpha of 5% and set up the full, detailed, five step hypothesis test. Assume when the sample 200 is taken the sample standard deviation is 10 and the sample mean is 151.77.
What is the p value?
Describe the steps in formal hypothesis testing. Make at least

Test the null hypothesis that a population mean is 50 against the alternate hypothesis that the mean is not 50.
The data is of ratio level.
A sample of 400 showed a sample mean of 51.5 and a sample standard deviation of 10.
Use the full, formal hypothesis testing format.
What "model" should be used and why?

Question 5
Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected
A machine dispenses a liquid drug into bottles in such a way that the standard deviation of the contents is 81 milliliters. A new machine is tested on a sample