Question

In: Statistics and Probability

Research Scenario:You have a group of 25 people who have high cholesterol and do not do...

Research Scenario:You have a group of 25 people who have high cholesterol and do not do any form of exercise. You want to know if a person’s cholesterol statistically significantly decreases after running for 30 minutes four times per week. You implement a 3-month treatment that consists of running for 30 minutes four times per week. You measure 25 individuals’ cholesterol levels before and after the treatment.

Study the descriptive statistics and summary output tables below and answer the questions that follow.

Descriptive Statistics

Variable

n

mean

SD

Time

Cholesterol Before Treatment

Cholesterol After Treatment

25

275.24

262.00

20.19

21.89

t-test

Variable	Mean Difference	SD	SE of Mean	t	Sig.
Cholesterol after treatment – cholesterol before treatment	-13.24	11.25	2.25	-5.88	.000

Write your conclusion (step 4) and interpretation of the results (step 5) in full sentences. See lecture notes for examples

The confidence interval is not included in the summary output table. Without developing it, would it contain a zero or not? Explain.

Expert Solution

Here we have a performed a paired t test for difference of means since we are dealing with dependent data.

Assuming 5% level of significance

Decision about the null hypothesis

Since it is observed that absolute value of t=-5.58 i.e 5.58>tc=1.711, it is then concluded that the null hypothesis is rejected.

Using the P-value approach: The p-value is p = 0.0000 and since p=0.0000<0.05, it is concluded that the null hypothesis is rejected at 5% level of significance. It is even rejected at 1% level of significance.

Conclusion

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that population mean μ1 is greater than μ2, at the 0.05 significance level. Hence we conclude that a person’s cholesterol statistically significantly decreases after running for 30 minutes four times per week.

It would not contain 0 since we have rejected the null hypothesis and concluded that the population means are different. so the difference would not contain 0.

Please let me know in comments if anything is unclear. Will reply ASAP. Please upvote if satisfied!

orchestra answered 2 years ago

The data represent measures on a random sample of 25 individuals with high cholesterol levels. The...

The data represent measures on a random sample of 25 individuals with high cholesterol levels. The variables are as follows: Dependent variable Y: Systolic Blood Pressure (SBP) Independent variable X_1: Body Size, measured by Quetelet (QUET) Index = 100(weight/height2) Independent variable X_2: Age 1. For an individual of age 51 and QUET 3.30, obtain by hand calculation the predicted level of SBP (remember they should be mean centered). If that individual’s actual SBP was found to be 130, obtain the...

The annual earnings of 25 people with a high school diploma and 16 people with an...

The annual earnings of 25 people with a high school diploma and 16 people with an associate degree are shown below. Can you conclude that there is a difference in the mean annual earnings based on level of education? Assume that population are normally distributed and population variances are not equal. High school diploma Associate degree x1=$36,875 x2=$44,900 s1=$5475 s2=$8580 n1=25 n2=16 Identify the claim and state the null and alternative hypothesis. What type of statistical test should be used...

1) Which of the following statements about groups is true? A) The formal leader B) People who do not conform to group roles are given high status by the group C) People generally play one role co...

1) Which of the following statements about groups is true? A) The formal leader should never perform evaluator roles if group members fail to carry them out on time. B) People who do not conform to group roles are given high status by the group. C) People generally play one role consistently throughout their lives. D) Only task roles are important to group effectiveness. E) Many of the top 1,000 U.S. companies currently use some form of self-managed teams. 2)...

One representative from the CDC claimed that as many as 25% of people who have Covid-19...

One representative from the CDC claimed that as many as 25% of people who have Covid-19 may not be showing any symptoms. If this is true, what is the probability of randomly choosing 450 people who are experiencing no symptoms and 110 or less of them actually have the virus? Make sketches and label all variables and give the appropriate calculator command. What is the inequality that must be true in order to treat the sample proportions in this problem...

1. The term “cost” is simply puzzling to people who do not have a background in...

1. The term “cost” is simply puzzling to people who do not have a background in accounting. Explain the following (a) Cost Driver (b) Cost Function (c) Cost Object

Insurance companies pay for (or cover) health services for employed people who have insurance. What group...

Insurance companies pay for (or cover) health services for employed people who have insurance. What group decides what services will be paid for? A) Federal government B) State government C) Company that issues the insurance policy D) Employer who purchases the insurance

Research indicates that people who volunteer to participate in research studies tend to be natives of...

Research indicates that people who volunteer to participate in research studies tend to be natives of the general area more than non-volunteers. To test this phenomenon, a researcher obtained a sample of 275 Pierce college students. The students were given a description of a psychological research study and asked whether they would volunteer to participate. The researcher also asked where they were from. Use a χ² square to determine if there is a significant relationship between being local and volunteering....

Assume that 28% of randomly selected adults have high cholesterol (with a level of at least...

Assume that 28% of randomly selected adults have high cholesterol (with a level of at least 240mg/dl. or are taking medicine to reduce cholesterol). Based on results from the National Center for Health Statistics. Assume that a group of five adults is randomly selected. Find the probability that at least one of the adults has high cholesterol, does the result apply to five adults from the same family? why or why not?

(14) In a faraway land, there are 80% white people. There are 25% of people have...

(14) In a faraway land, there are 80% white people. There are 25% of people have a particular disease. And if you randomly select a person, that person has 20% chance of being white and have the disease. What proportion of students are non-white and who is healthy? Kelly’s race is white, what is the chance that she has this disease? Are the events of being white and having the disease independent events? If you randomly select 10 people, what...

Two women in a group of 25 people shared the same name and the same birthday....

Two women in a group of 25 people shared the same name and the same birthday. Discuss whether this is a surprising result. Do you think it is more likely that you will find a pair of people in a room of 25 who share a first name or a pair of people who share a birthdate?