Question 1

Body Temperatures.

Listed below are the body temperatures of four subjects measured at two

different times of the day. Assume that you want to use a 0.05 significance level to test the claimthat paired sample data come from a population for which the mean difference isd=0.

Letd be thedifference between body temperatures measured at 8 A.M. and at 12A.M. Fill in the table below to calculate the difference for each subject. Calculate the differenceby subtracting the 8:00 am temp from the 12:00 am temp. For example, for row 2: 97.6-97 = 0.6.

Enter any decimals in the format 0.__ For example, 0.6, as in row 2. In the difference is 0, just enter 0 with no decimal place.

Body temp at 8:00 am	Body temp at 12:00 am	Difference (d)
98	98
97	97.6	0.6
98.6	98.8
97.4	98

Add up the values in the last column and divide by 4 to find the average difference. If necessary, round to two decimal places.

The average difference, davein body temps is. Enter any decimals in the format 0.__

Question 2

Body Temperatures.Listed below are the body temperatures of four subjects measured at twodifferent times in a day. Assume that you want to use a 0.05 significance level to test the claimthat paired sample data come from a population for which the mean difference isd=0.

Step 2. SinceSdis thestandard deviation of the differencesfor the paired sampledata, use the results from part (a) tocalculatethe standard deviation of thedifferencesdas:

Sd=(ddave)2n1

Enter the standard deviation rounded to one decimal place if necessary.

Question 3

Body Temperatures.Given the body temperatures of four subjects measured at twodifferent times in a day.Assume that you want to use a 0.05 significance level to test the claimthat paired sample data come from a population for which the mean difference isd=0.

Step 3. Use the results from the previous questions to calculate the test statistic with the following formula

t=davedSdn

Remember, we are assuming d=0.

Enter the test statistic, t, here rounded to two decimal places.

Question 4

Body Temperatures.Given the body temperatures of four subjects measured at twodifferent times in a day. Assume that you want to use a 0.05 significance level to test the claimthat paired sample data come from a population for which the mean difference isd=0.

Using Table A-3from "Formulas & Tables", identify the critical value

tusing thecolumnfor 0.05 and the row with degrees of freedom of

n-1.

Enter thecritical value exactly as it appears in the table.

Question 5

Body Temperatures.Given the body temperatures of four subjects measured at twodifferent times in a day. Assume that you want to use a 0.05 significance level to test the claimthat paired sample data come from a population for which the mean difference isd=0.

Use the results from Questions #13 and #14, and fill in the blanks below to draw a conclusion on this example.

Since the Test Statistic T=2.34 is less than the Critical Value of 2.35, we [ Select ] ["reject", "fail to reject"] the null hypothesis. The sample here [ Select ] ["does", "does not"] indicate a difference in the body temperature.

Question 6

Is Blood Pressure the Same for Both Arms?Listed below are systolic blood pressuremeasurements (mmHg) taken from the right and left arms of the same woman (based on data from"Consistency of Blood Pressure Differences Between the Left and Right Arms," by Eguchi, et al.,Archives of Internal Medicine, Vol. 167).

Use a 0.01 significance level to test for a difference

between themeasurements from the two arms. What do you conclude?

Right Arm:102,101,94,79,79

Left Arm:175,169,182,146,144

Upload work demonstrating all 5 completed steps for the hypothesis test. The 5 steps should match the steps in the example posted the example

C Read: WGBH Educational | X Course Hero Hypothesis Testing in 5 St X UB Quiz: Lab Assignment #9: > My Progress - University X + X C O File | C:/Users/joanna/Downloads/Hypothesis%20Testing%20in%205%20Steps.pdf O E Hypothesis Testing in 5 Steps.pdf 1 / 3 75% + Hypothesis Testing in 5 Steps For all questions throughout the semester that ask you to complete a hypothesis test, please use this outline. It is adaptable to difference situations that ask you to complete a hypothesis test. Step #1: State the hypotheses Sometimes it is helpful to write out the hypothesis in words first then in symbolic form. Always include the symbolic form Be sure you have the correct symbols. Is the test about the population mean? Population standard deviation? Population proportion? Choosing the correct symbol is important. (Notice the word population in all of these: Hypothesis testing is based on population values. Never use sample statistic symbols here, only population symbols For the null hypothesis, there is only one option: (based on equality) Ho:6 = For the alternative hypothesis, there are three options based on the problem H1:6> H1:6 My Progress - University X + X C O File | C:/Users/joanna/Downloads/Hypothesis%20Testing%20in%205%20Steps.pdf E Hypothesis Testing in 5 Steps.pdf 1 / 3 75% + Step #5: Conclusions The first part of the conclusion is the statistical conclusion: Reject or fail to reject H, and why. Keep in mind, reject or fail to reject are the only options. We have not proven H, is true using these steps so we should not accept it. The second part of the conclusion is stating a conclusion in laymen's terms. It amounts to answer the question that is asked in the problem. See my example below. Note that the information in italics are my notes to you. These do not need to be included. Ex: In an interview with Dr. Jones at University of Utah, Dr. Jones mentions that it takes a person on average about 30 minutes to fall asleep*. Suppose a random sample of 40 college students had a mean time to fall asleep of 28 minutes 2 with a known population standard deviation of 6 minutes. Does this sample suggest that college students may fall asleep faster than the suggested 30 minutes? Be sure to include all 5 steps from the hypothesis test https://healthcare.utah.edu/the-scope/shows.php?shows=0_xa3qjafl Note that the information in italics are my notes to you. These do not need to be included with any submissions. Please do not copy and paste such that my notes are included. 1.) State the hypotheses: Ho:u = 30 (null hypothesis, always based on equality. use = sign) H1: u My Progress - University X + X C O File | C:/Users/joanna/Downloads/Hypothesis%20Testing%20in%205%20Steps.pdf E Hypothesis Testing in 5 Steps.pdf 2 / 3 1 - 75% + Ex: In an interview with Dr. Jones at University of Utah, Dr. Jones mentions that it takes a person on average about 30 minutes to fall asleep*. Suppose a random sample of 40 college students had a mean time to fall asleep of 28 minutes with a known population standard deviation of 6 minutes. Does this sample suggest that college students may fall asleep faster than the suggested 30 minutes? Be sure to include all 5 steps from the hypothesis test "https://healthcare.utah.edu/the-scope/shows.php?shows=0_xa3qjafl Note that the information in italics are my notes to you. These do not need to be included with any submissions. Please do not copy and paste such that my notes are included. 1.) State the hypotheses: Ho: u = 30 (null hypothesis, always based on equality.use = sign) H1: u My Progress - University X + X C O File | C:/Users/joanna/Downloads/Hypothesis%20Testing%20in%205%20Steps.pdf O E Hypothesis Testing in 5 Steps.pdf 2 / 3 | - 75% + 4.) Calculations: a.) 1st, the test statistic: (This is always based on the statistic chosen in step 2) Z = 28 - 30 -= -2.108 6/40 b.) 2nd, we can calculate the p-value. (Here, you have the option of either the p-value or a critical value. In this case, I used the p-value. Keep in mind, your conclusion will be the same either way.) P - value = P(Z My Progress - University X + X C O File | C:/Users/joanna/Downloads/Hypothesis%20Testing%20in%205%20Steps.pdf O Hypothesis Testing in 5 Steps.pdf 3 / 3 | - 75% + c.) Draw a picture to help visualize: (In this picture, I drew lines to indicate the rejection region based on our alpha value and then darkened the p-value. As our p-value is inside the rejection region, we are going to reject in the conclusion. The picture helps me draw the conclusions.) 20 0.05 rejecthanregion 0.0175 furto reject - 2.108 5.) Conclusions: a. Since the p-value = 0.0175