At a long gym, it is claimed that people who work out at the gym spend...

At a long gym, it is claimed that people who work out at the gym spend on average more time doing cardio than working with weights. The researcher collects two independent samples and asked each member in the sample to state their preference during a typical workout at the gym. Test the claim using α=0.01. The sample data is listed below.

Cardio (minutes)

weight lifting (minutes)

X ¯ 1 =40

σ 1=5.69

n 1 =35

X ¯ 2 =32

σ 2 =8.65

n 2 =35

State the claim:

H 0 μ 1=μ 2

H 1 μ 1 μ 2claim

Determine the direction of the tails: Left, Right, or Two: tail/s

Find the critical value:

Compute Test Point (round to 2 place values) :

Do we Reject or Do Not Reject?

Summarize: There is enough evidence to the claim.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A simple random sample of men who regularly work out at Mitch's Gym is obtained and...

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below. 54 60 67 84 74 64 69 70 66 80 59 71 76 63 Use a 0.05 significance level to test the claim that the mean resting pulse rates is less than 72 beats per minute. Assume that the resting pulse rates of all men who work out at Mitch's Gym are normally...

It is claimed by a researcher that the proportion of people who consume Lay's Potato Chips...

It is claimed by a researcher that the proportion of people who consume Lay's Potato Chips is less than the proportion of people who consume Cheetos. Test the claim using α =0.01. The sample data is presented below. Lay's Potato Chips Cheetos X 1 =35 n 1 =80 X 2 =60 n 2 =90 Round all proportions to 2 place values p ^ 1 = p ^ 2 = p ¯= q ¯= State the claim: H 0 p 1=p...

A survey reported that 3232% of people plan to spend more on eating out after they...

A survey reported that 3232% of people plan to spend more on eating out after they retire. If tenten people are randomly selected, determine the values below. a. The expected number of people who plan to spend more on eating out after they retire b. The standard deviation of the individuals who plan to spend more on eating out after they retire c. The probability that two or fewer in the sample indicate that they actually plan to spend more...

A survey reported that 37% of people plan to spend more on eating out after they...

A survey reported that 37% of people plan to spend more on eating out after they retire. If eight people are randomly selected, determine the values below. a. The expected number of people who plan to spend more on eating out after they retire b. The standard deviation of the individuals who plan to spend more on eating out after they retire c. The probability that two or fewer in the sample indicate that they actually plan to spend more...

NASA is conducting an experiment to find out the fraction of people who black out at...

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Suppose a sample of 1026 people is drawn. Of these people, 523 passed out. Using the data, construct the 99% confidence interval for the population proportion of people who black out at G forces greater than 6. Round your answers to three decimal places.

In class, I claimed that most people who can understand the details of football can understand...

In class, I claimed that most people who can understand the details of football can understand rocket science. Many people are interested in football, and few people are interested in rocket science. However, very few people interested in football actually have a career as a professional football player. Likewise, few people have careers as rocket scientists. Yet why are so many more people are interested in football than rocket science? I claimed that the reasons concerned the way that football...

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...

Many people are out of work as a result of COVID-19. This means that they will...

Many people are out of work as a result of COVID-19. This means that they will not be paying as much money in taxes so government revenue will decrease. At the same time, the government spending has increased as the government bails out businesses, increases spending on healthcare, and provides income assistance to a growing number of people. How does declining tax revenue and increasing government spending impact the government debt?

Joe, a 27-year-old white male teacher who works out daily at the gym, begins to complain...

Joe, a 27-year-old white male teacher who works out daily at the gym, begins to complain of a headache and feeling like he is coming down with the flu. The school nurse advises him to go home; rest; take ibuprofen for fever and achiness, antihistamines if needed; and to drink plenty of fluids. Joe goes home and follows the nurse’s advice. After awakening from a nap, he has a fever of 101°F orally and is complaining of a headache, nausea,...

A recent study claims that people who travel for business spend an average of $78.00 per...

A recent study claims that people who travel for business spend an average of $78.00 per day on food. You suspect the real average is less than this. You conduct your own study and find that a random sample of 67 people who travel for business spend an average of $75.00 per day on food with standard deviation $12.00. Perform a hypothesis test using ∝ = 0.01 Step #1: State the null and alternative hypothesis. Identify the claim.Step #2: Find...

Subjects