Question

In: Statistics and Probability

"A survey published in the American Journal of Sports Medicine2 reported the number of meters (m)...

"A survey published in the American Journal of Sports Medicine2 reported the number of meters (m) per week swam by two groups of swimmers—those who competed for exclusively in breaststroke and those who competed in the individual medley(which includes breaststroke). The number of meters per week practicing the breaststroke was recorded for each swimmer, and the summary statistics are given below. Is there sufficient evidence to indicate that the average number of meters per week spent practicing breaststroke is greater for exclusive breaststrokers than it is for those swimming individual medley"

EXCLUSIVE BREATHSTROKE SPECIALITY

Sample Size=130, Sample mean (m)=9017, Sample Standard Deviation=7162, Population mean=u1

INDIVIDUAL MEDLEY SPECIALITY

Sample Size=80, Sample Mean (m)=5853, Sample Standard Deviation (m)=1961, Population mean=u2

A) State the nul and alternative hypothesis

B) What is the appropriate rejection region for an a=0.01 level test?

C) Calculate the observed value of the appropriate test statistic
D) What is your conclusion?

E) What is a practical reason for the conclusion you reached in part D?

F) Give the two sided 90% confidence interval for the difference u1-u2 in the average number of meters swum by the two groups of swimmers

Solutions

Expert Solution



Related Solutions

The American Housing Survey reported the following data on the number of times that owner-occupied and...
The American Housing Survey reported the following data on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months. Number of Houses (1000s) Number of Times Owner Occupied Renter Occupied 0 549 23 1 5,012 542 2 6,100 3,734 3 2,544 8,690 4 times or more 558 3,783 Do not round intermediate calculations. Round your answers to two decimal places. a. Define a random variable x...
The American Housing Survey reported the following data on the number of times that owner-occupied and...
The American Housing Survey reported the following data on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months. Number of Houses (1000s) Number of Times Owner Occupied Renter Occupied 0 547 23 1 5,012 541 2 6,110 3,734 3 2,544 8,660 4 times or more 557 3,784 Do not round intermediate calculations. Round your answers to two decimal places. a. Define a random variable x...
The American Housing Survey reported the following data on the number of times that owner-occupied and...
The American Housing Survey reported the following data on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months. Number of Houses (1000s) Number of Times Owner Occupied Renter Occupied 0 549 23 1 5,012 542 2 6,100 3,734 3 2,544 8,690 4 times or more 558 3,783 Do not round intermediate calculations. Round your answers to two decimal places. a. Define a random variable x...
In a study published in the American Journal of Psychiatry researchers wanted to measure the effect...
In a study published in the American Journal of Psychiatry researchers wanted to measure the effect of alcohol on the development of the hippocampal region (responsible for long term memory storage) in adolescents. The researchers randomly selected 12 adolescents with alcohol use disorders. They wanted to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cubic centimeters HA:μ<9.02 . An analysis of the sample data revealed that the hippocampal volume is approximately...
In a study published in the American Journal of Psychiatry researchers wanted to measure the effect...
In a study published in the American Journal of Psychiatry researchers wanted to measure the effect of alcohol on the development of the hippocampal region (responsible for long term memory storage) in adolescents. The researchers randomly selected 12 adolescents with alcohol use disorders. They wanted to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cubic centimeters HA:μ<9.02 . An analysis of the sample data revealed that the hippocampal volume is approximately...
Question 2: The American Journal of Clinical Nutrition published the results of a study of the...
Question 2: The American Journal of Clinical Nutrition published the results of a study of the dietary intake of sugar by children. In the trial a sample of 657 randomly selected American children between the ages of 5 and 12 was chosen, and for each child a seven day food diary was filled in. An analysis of the data showed a sample mean of 134.3 g of sugar per day with a standard deviation of 48.1 g. Using the results...
Question 2: The American Journal of Clinical Nutrition published the results of a study of the...
Question 2: The American Journal of Clinical Nutrition published the results of a study of the dietary intake of sugar by children. In the trial a sample of 657 randomly selected American children between the ages of 5 and 12 was chosen, and for each child a seven day food diary was filled in. An analysis of the data showed a sample mean of 134.3 g of sugar per day with a standard deviation of 48.1 g. Using the results...
The American Journal of Public Health (July 1995) published a study of the relationship between passive...
The American Journal of Public Health (July 1995) published a study of the relationship between passive smoking and nasal allergies in Japanese female students. The study revealed that 40% of the students from heavy-smoking families showed signs of nasal allergies on physical examination. Let x denote the number of students with nasal allergies in a random sample of 6 Japanese female students exposed daily to heavy smoking. a. What is the probability that at least four of the students will...
A study published in 2008 in the American Journal of Health Promotion (Volume 22, Issue 6)...
A study published in 2008 in the American Journal of Health Promotion (Volume 22, Issue 6) by researchers at the University of Minnesota (U of M) found that 124 out of 1,923 U of M females had over $6,000 in credit card debt while 61 out of 1,236 males had over $6,000 in credit card debt. a. Construct a 95% confidence interval for the difference between the proportions of female and male U of M students who have more than...
13) A study published in 2008 in the American Journal of Health Promotion (Volume 22, Issue...
13) A study published in 2008 in the American Journal of Health Promotion (Volume 22, Issue 6) by researchers at the University of Minnesota (U of M) found that 124 out of 1,923 U of M females had over $6,000 in credit card debt while 61 out of 1,236 males had over $6,000 in credit card debt. a) Verify that the sample size is large enough in each group to use the normal distribution to construct a confidence interval for...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT