Statistics Two Tailed Hypothesis test using t-statistic

Question:

A claim is made that the mean height of police officers is 5feet 11inches. To test whether this claim is true or not, a random sample of 25 police officers was gathered. This sample had a mean height of 5 feet 10inches with s=3inches. Test at the 5% significance level

Given, Mean height of police officers = 5 feet 10 inches

Standard Deviation ...

Solution Summary

The solution to the posted problem is given step by step with explanation so that the student could understand the procedure with ease and use this solution as a model solution to solve other similar problems.

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test the null hypothesis.
=0.05 for a left-tailedtest.
-1.645
1.96
1.645
-1.96
Use the given information to find the P-value.
The test statisti

Question :
The mean score on a standardized psychology test is supposed to be 50. Believing that a group of psychologists will score higher, we test a random sample of 11 psychologists. Their mean score is 45 with s=3. Test at a level of significance of 1%.

Please help answer the following questions involving statistics.
1. Why do we use hypothesistesting?
2. What is a test statistic and how is it related to a critical value in hypothesistesting?
3. What is the critical region in hypothesistesting and why is it important?

In a word problem, how does one know whether to use a one-tailedtest or a two-tailedtest? What are some of the words that form clues? How does one know what is a population parameter and a test statistic?

Test H0: pi1- pi2 <=0, HA: pi1- pi2 > 0 at alpha =.05 and 0.10 where p1=.08, p2=.05, n1 = 200 and n2 = 400. Indicate which test you are performing; show the test statistic and the critical values, and mention whether the test is one-tailed or two-tailed.
Note that pi stands for the Greek letter representing population proport

Explain the difference between a left-tailed, two-tailed, and right-tailedtest. When would you choose a two-tailedtest? How might you tell the direction of the test by looking at a pair of hypothesis? How might you tell which direction (or no direction) to make the hypothesis by looking at the problem statement (research quest

A sample size of 35 is used to test H0: m 65 vs. Ha: < 65.
Given that = 63.5 and = 2.5, answer the following questions
What is the computed value of the test statistic?
What distribution does the test statistic have when the null hypothesis is true?
Is the alternative hypothesis one-tailed or two-tailed?
What is the p-v

Please help with the following abnormal psychology problem. Step by step discussions are provided.
When designing an experiment, the research hypothesis may be directional or non-directional.
1) Identify the differences between a directional and non-directional hypothesis.
2) Discuss how the directionality is relat

You will be asked to determine the correct decision (Reject Ho or Fail to Reject Ho) for each of the following tests of hypotheses.
1. A hypothesistest at the 0.025 level of significance with a p-value for the sample of 0.0075.
2. A hypothesistest at the 0.01 level of significance with a p-value for the sample of 0.012