Probability in case of a randomly selected sample

Assignment Help Basic Statistics
Reference no: EM1319105

Spots and Achilles Tendon injuries Some sports, such as basketball and tennis, put participants at risk for Archilles tendinopathy (AT), an inflammation and thickening of the Achilles tendon. A study in the American Journal of Sports Medicines looked at the diameter in mm of the affected and non affected tendons for patients who participated in these types of sports activities. Suppose that the Achilles tendon diameters in the general population have a mean of 5.97 millimeters (mm) with a standard deviation of 1.95 mm.

a. What is the probability that a randomly selected sample of 31 patients would produce an average diameter of 6.6 mm or less for the non affected tendon?

b. When the diameters of the affected tendon were measured for a sample of 31 patients, the average diameter was 9.80. If the average tendon diameter in the population of patients with AT is no different than the average diameter of the non-affected tendons (5.97mm) what is the probability of observing an average diameter of 9.80 or higher?

c. What conclusions might you draw from the results in part B?

Reference no: EM1319105

Questions Cloud

Design strategies for project steering : Suppose that an analysis team did not generate alternative design strategies for consideration by a project steering committee or client. What might the consequences be of having only one design strategy?
Determining mean of probability distribution : Determine the mean and standard deviation of following probability distribution.
Estimate an average amount of sick leave per employee : A certain firm specializing in the manufacture and sale of free time clothing has 80 retail stores in Florida and 140 in California. With each state as a stratum, the firm wishes to estimate average sick-leave time per employee for the past year
Solve for the unknown variable : Solve for the unknown variable
Probability in case of a randomly selected sample : Determine the probability that a randomly selected sample of 31 patients would produce an average diameter of 6.6 mm or less for the non affected tendon?
What the equilibrium interest rates for the federal funds : Elucidate what the equilibrium interest rates for the federal funds rate the government bond rate also the private bond rate are also Illustrate what the equilibrium level of income is.
Solve the unknown variable : Solve the unknown variable
Approximation the total number and bound on the error : A company auditor was interested in estimating the total number of travel vouchers that were incorrectly filed. In a SRS of size n =50 oft of the group of N = 250, were filed incorrectly.
Relative frequency and bar chart : Perform a study to compare the characteristics of patients discharged against medical advice from the institution

Reviews

Write a Review

Basic Statistics Questions & Answers

  Possibility of subcommittees

If they must form an ethics subcommittee of 4 members, how many different subcommittees are possible?

  Homogeneity of variance assumption

For each of the following problems, assume that the homogeneity of variance assumption has not been met and that you will need to use the adjusted Welch statistic.

  Normal distribution curve

Find the area under the normal distribution curve between z = 1.52 and z = 2.43.

  Determining the probability of mean annual snowfall

Determine the probability that mean annual snowfall during 40 randomly picked years will exceed 111.8 inches?

  Evidence to refuse null hypothesis

Re item 4, assume the critical value for this test is 4.92, and you obtain a computed statistical value of 7.45.   Is there evidence to refuse null hypothesis? Describe why or why not?

  Determining the probability and percentile

If person is selected at random and tested, determine the probability of that person having an IQ score between 85 and 115. Make use of EXCEL to help determine the probability.

  Sampling distribution of the population mean

According to the study, the mean age of a self-employed individual is 46.6 years with a standard deviation of 10.8 years.

  Describing difference betwent kinds of gasoline

Gas consumption of 3 cars (labeled car A, car B, and car C) using 4 different kinds of gasoline. Is there difference among kinds of gasoline?

  Anything about the distribution of sample means

Assume if random samples of size n = 9 are selected can we say anything about the distribution of sample means.

  Hypothesis test of single mean and single proportion

Is it necessary to assume a normal distribution on the population to estimate the value of the mean spending per day? Explain.

  Determining the p-value if mean fare has increased

At 0.01 significance level can we conclude that mean fare has increased? Determine the p-value?

  To find the probability using the bayes'' theorem

A test on zoology is to be given next week. Suppose 75 percent of the students study for the test and 25 percent do not. If a student studies for the exam, the probability that he or she will pass is 0.90. If the student does not study, the pro..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd