An investigator theorizes that people who participate in a regular program of exercise will have levels of systolic blood pressure that are significantly different from that of people who do not participate in a regular program of exercise. To test this idea the investigator randomly assigns 21 subjects to an exercise program for 10 weeks and 21 subjects to a non- exercise comparison group. After ten weeks the mean systolic blood pressure of subjects in the exercise group is 137 and the standard deviation of blood pressure values in the exercise group is 10. After ten weeks, the mean systolic blood pressure of subjects in the non-exercise group is 127 and the standard deviation on subjects in the non-exercise group is 9.0. Please test the investigator's theory using an alpha level of .05. As part of your answer a) Define Null and Alternative Hypotheses b) State Alpha c) Calculate Degrees of Freedom d) State Decision Rule e) Calculate Test Statistic f) State Results g) State Conclusion

An investigator theorizes that people who participate in a regular program of exercise will have levels of systolic blood pressure that are significantly different from that of people who do not participate in a regular program of exercise. To test this idea the investigator randomly assigns 21 subjects to an exercise program for 10 weeks and 21 subjects to a non- exercise comparison group. After ten weeks the mean systolic blood pressure of subjects in the exercise group is 137 and the standard deviation of blood pressure values in the exercise group is 10. After ten weeks, the mean systolic blood pressure of subjects in the non-exercise group is 127 and the standard deviation on subjects in the non-exercise group is 9.0. Please test the investigator's theory using an alpha level of .05. As part of your answer a) Define Null and Alternative Hypotheses b) State Alpha c) Calculate Degrees of Freedom d) State Decision Rule e) Calculate Test Statistic f) State Results g) State Conclusion

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Researchers interested in determining the relative effectiveness of two different drug treatments on…

Q: rbohydrate consumption to less than 20 grams per day for one year. They measured the men’s systolic…

A: Note: As per the guidelines, we are only allowed to solve three subparts, please post the other…

Q: A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering…

A: Let the treatment group be population 1 let the control group be population 2significance…

Q: Medical researchers are interested in determining the relative effectiveness of two drug treatments…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: The time married men with children spend on child care averages 6.1 hours per week (Time, March 12,…

A: The hypotheses can be constructed as: H0: µ = 6.1 H1: µ ≠ 6.1 Sample size (n) = 40 Assume level of…

Q: edical researchers interested in determining the relative effectiveness of two different drug…

Q: Researchers are interested in the effect of pet companionship on depression in elderly adults. They…

A: According to the given information in this questionWe need to identify the correct option

Q: State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test…

A: Given Data : For first group x̄1 = 163.0 s1 = 9.0 n1 = 8 For second…

Q: Your research group has been hired to determine if college men and women drink different amounts of…

A: We have to calculates the z-score.

Q: Omni Physical Therapy Centers is evaluating two different two different physical conditioning…

A: Given: Program A is taken as group 1. Program B is taken as group 2.…

Q: Researchers from a certain country were interested in how characteristics of the spleen of residents…

A: Given that n1=93, x¯1=11.1, s1=0.9, n2=107, x¯2=9.9, s2=0.8, α=0.01.

Q: Almost all medical schools in the United States require applicants to take the Medical College…

Q: A new iron supplement is being tested to see if it can increase the mean of ferritin levels. Study…

A: Given Information: Group 1: Sample size n1=30 Sample mean x¯1=43 Sample standard deviation s1=13…

Q: What is the population for which inferencing is being done? (narrative, no calculation) What is the…

A: A population is a set or group of observations associated with a certain phenomenon under…

Q: Answer: What is the null distribution of the test statistic? Select one O a. AT distribution with 35…

Q: Step 1 of 4: State the null and alternative hypotheses for the test. Step 2 of 4: Compute the value…

A: Here given A medical researcher wants to compare the pulse rates of smokers and non-smokers. He…

Q: The drug Diffusin is used to treat arthritis pain, and was recently examined in a study of its…

Q: Birth weights are normally distributed with a mean of 7.4 pounds and a standard deviation of 1.1…

A: Birth weights are normally distributed with a mean of 7.4 pounds and a standard deviation of 1.1…

Q: We are trying to test whether, a new low fat diet actually helps obese people lose weight. 150…

A: Solution: Hypothesis testing: From the above hypothesis test we can conclude that the low fat…

Q: Researchers are interested in the effect of pet companionship on depression in elderly adults. They…

A: Paired T-Test :The paired t-test gives a hypothesis examination of the difference between population…

Q: An economist studying fuel costs had a suspicion that the median price of gasoline in his state was…

A: Given x¯=3.04s=0.39α=0.01 test statistic=0.65 p-value =0.260

Q: Are severe psychiatric disorders related to biological factors that can be physically observed? One…

A: Solution: Given information: n1=10 Sample size of patients with obsessivecompulsive disordersn2=10…

Q: The Food and Drug Administration has determined that a substance called Melamine poses a health…

A: * SOLUTION :- The OPTION C is correct answer. * Explanation :- Given that,

Q: The Social Isolation Scale (SIS) is a measure used to assess an individual's tendency to isolate…

Q: Fran is training for her first marathon, and she wants to know if there is a significant difference…

A: Given data,n1=40x1=46.6σ1=4.6n2=45x2=48.8σ2=2.4Compute value of test statistic?

Q: Assume that the mean weight for American men in their twenties is 180 pounds with a standard…

A: The provided sample mean is Xˉ=175\bar X = 175 and the known population standard deviation is…

Q: Researchers are interested in the effect of pet companionship on depression in elderly adults. They…

A: Number of sample =25Significance level =0.05

Q: Peak expiratory flow (PEF) is a measure of a patient’s ability to expel air from the lungs. Patients…

A: The provided data is,

Q: depression scores before and after spending a month with a dog (a higher score indicates a higher…

A: Sample size n =25Difference of means is -1 and standard deviation is 2

Q: Researchers are interested in the effect of pet companionship on depression in elderly adults. They…

A: Sample size (n) = 225Sample mean (x̅) = --1Standard deviations (s) = 2Confidence level (c) = 95% =…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

An investigator theorizes that people who participate in a regular program of exercise will
have levels of systolic blood pressure that are significantly different from that of people
who do not participate in a regular program of exercise. To test this idea the investigator
randomly assigns 21 subjects to an exercise program for 10 weeks and 21 subjects to a non-
exercise comparison group. After ten weeks the mean systolic blood pressure of subjects
in the exercise group is 137 and the standard deviation of blood pressure values in the
exercise group is 10. After ten weeks, the mean systolic blood pressure of subjects in the
non-exercise group is 127 and the standard deviation on subjects in the non-exercise group
is 9.0. Please test the investigator's theory using an alpha level of .05. As part of your
answer
a) Define Null and Alternative Hypotheses
b) State Alpha
c) Calculate Degrees of Freedom
d) State Decision Rule
e) Calculate Test Statistic
f) State Results
g) State Conclusion

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Researchers are interested in the effect of pet companionship on depression in elderly adults. They randomly select 25 participants from the target population and record their depression scores before and after spending a month with a dog (a higher score indicates a higher level of depression). The researchers then compute the difference scores for each participant (difference after before). The mean of differences is - 1 and the standard deviation of differences is 2. Can the researchers conclude that there is an effect of pet companionship on depression in elderly adults? Conduct the appropriate statistical test (two-tailed) with a = .05. Based on the information provided above, which statistical test seems most appropriate? one sample t test O z test independent samples t test O dependent samples t test
In the current pandemic situation, customers are making greater use of grocery home delivery services. A local grocery chain wants to know how satisfied customers in Fairfax county are, on average, with their home delivery service. It surveyed 42 customers in Fairfax county and asked them to rate their satisfaction on a 100-point scale. They obtained a sample average of 82 points. This service has been provided by the grocery chain for some time and the population standard deviation of satisfaction is known to be 6.5 points. What is the population for which inferencing is being done? (narrative, no calculation) What is the population parameter for which inferencing is being done? (narrative, no calculation) At a 97% level of confidence, what is the margin of error? What is the 97% confidence interval for the population parameter? [Note: be sure to express the confidence interval in narrative form for the context of this problem.]
After post-graduate study, Mike found a job as HR analyst in London. The company is currently recruiting Chief Marketing Officer. The HR department recently sent out a knowledge test to the applicants after the initial CV screening. At this stage of selection, the company does not invite the lowest scoring 30% back for the next face-to-face interview. According to the historical data, the test scores on this test are normally distributed and has a mean of 70 with standard deviation of 10. What mark (to the nearest whole number) must a candidate achieve in order to secure an interview? 2. How much is the 95% confidence interval for the test scores?
Researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic illness established two independent test groups. The first group consisted of 14 people with the illness, and the second group consisted of 12 people with the illness. The first group received treatment 1 and had a mean time until remission of 172 days with a standard deviation of 8 days. The second group received treatment 2 and had a mean time until remission of 183 days with a standard deviation of 5 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Construct a 95% confidence interval for the difference u, -H, between the mean number of days before remission after treatment 1 (u,) and the mean number of days before remission after treatment 2 (u). Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three…
Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. The researchers randomly sampled 93 males and 107 females in their country. The mean and standard deviation of the spleen lengths for the males were 10.8 cm and 0.9 cm, respectively, and those for the females were 10.2 cm and 0.7 cm, respectively. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean spleen lengths of males and females in the country? Click here to view page 1 of the table of critical values of t. Click here to view page 2 of the table of critical values of t. O E. Ho: H1 H₂ Hai Hg = H2 Compute the test statistic. =(Round to two decimal places as needed.) Determine the critical value(s). t= OF. Ho: H1 H₂ Ha: H1 H₂ 0 (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion of the…
Suppose you are a quality control manager at a manufacturing company that produces light bulbs. The company has recently made changes to the manufacturing process, and you want to investigate whether these changes have had a significant impact on the average lifespan of the bulbs. You collect a random sample of 30 light bulbs produced under the new process and find that the sample mean lifespan is 1200 hours with a sample standard deviation of 100 hours. Additionally, you collect a random sample of 35 light bulbs produced under the old process and find that the sample mean lifespan is 1180 hours with a sample standard deviation of 90 hours. Assuming that the population standard deviations are unknown but equal, test at a 5% significance level that the average lifespan of the light bulb has changed with the new manufacturing process. NOT FOR MARKS, just a book sample question
Researchers are interested in the effect of pet companionship on depression in elderly adults. They randomly select 25 participants from the target population and record their depression scores before and after spending a month with a dog (a higher score indicates a higher level of depression). The researchers then compute the difference scores for each participant (difference after before). The mean of differences is -1 and the standard deviation of differences is 2. Can the researchers conclude that there is an effect of pet companionship on depression in elderly adults? Conduct the appropriate statistical test (two-tailed) with a = .05. Should you reject or fail to reject the null hypothesis? Reject O Fail to reject
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Assume a 5% level of significance.)
Researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic illness established two independent test groups. The first group consisted of 12 people with the illness, and the second group consisted of 14 people with the illness. The first group received treatment 1 and had a mean time until remission of 166 days with a standard deviation of 8 days. The second group received treatment 2 and had a mean time until remission of 163 days with a standard deviation of 9 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Construct a 90% confidence interval for the difference −μ1μ2 between the mean number of days before remission after treatment 1 ( μ1 ) and the mean number of days before remission after treatment 2 ( μ2 ). Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate…
A newly hired basketball coach promised a high- paced attack that will put more points on the board than the team's previously tepid offense historically managed. After a few months, the team owner looks at the data to test the coach's claim. He takes a sample of 36 of the team's games under the new coach and finds that they scored an average of 101 points with a standard deviation of 6 points. Over the past 10 years, the team had averaged 99 points. What is(are) the appropriate critical value(s) to test the new coach's claim at the 1% significance level? -2.438 -2.438 and 2.438 2.326 2.438