The accompanying data represent the running times of files produced by two motion-picture companies. Assume thatthe running-time differences are approximately normally distributed. Construct a 90% confidence interval for90% confidence interval for μ - μ were created, should it be assumed that o² ==If aCompany|10696105Time (minutes)9199II101781238917189120Click here to view page 1 of the table of critical values of the F-distribution, for alpha = 0.05.Click here to view page 2 of the table of critical values of the F-distribution, for alpha = 0.05.The confidence interval is<(Round to three decimal places as needed.) Carefully review the properties of the confidence interval for the ratio of two variances. Then, examine theconfidence interval found in the previous step carefully and determine if it could be assumed that o² = 22.

This concludes the calculation and interpretation of the confidence interval for the ratio of…

Answered: The accompanying data represent the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A certain counselor wishes to compare the mean IQ scores of two different social groups. A random sample of 12group IQ scores1showed an average of85and a standard deviation offiftewhile a random sample chosen independently ofelegroup IQ scores2showed an average of 108and a standard deviation of13. Assuming that the populations of IQ scores for each of the groups follow a normal distribution and that the variances of these populations are equal, construct a confidence interval for the90%forμ₁ −μ₂, the difference between the meanµ₁group IQ scoresland the meanμgroup IQ scores2. Then find the lower limit and the upper limit of the confidence interval of the90%. - Carry out intermediate calculations using at least three decimal places. Round answers to at least two decimal places. (If necessary, you can refer to a list of formulas.) Lower limit: Upper limit: X Ś
A researcher collected sample data for 14 women ages 18 to 24. The sample had a mean serum cholesterol level (measured in mg/100 mt) of 193, with a standard deviation of 7.5. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 90% confidence interval for the man serum cholesterol level of all women in this age group. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decamal places. Round your answers to one deomal place.
Data indicates that adolescent girls tend to experience a drop in self-esteem. To evaluate this result, a researcher obtains a sample of N = 36 adolescent girls, all 13 years old. A self-esteem measure is administered to each participant and the average score for the sample is X =68. It is known that the distribution of self-esteem scores for the population of pre-teen girls is normal with mean 80 and standard deviation 10. (a) Compute a 95% confidence interval for µ, the population mean self-esteem score for adolescent girls. (b) Compute Cohen’s d to estimate the size of the described effect. (c) Perform a hypothesis test to decide whether the mean self-esteem score for adolescent girls is significantly different from the mean self-esteem score for pre-teen girls. (d) Compute and interpret a Bayes factor for the model (either H0 or H1) with the best predictive adequacy. (e) Compute and interpret the posterior model probability for the winning model chosen in part (d).
A researcher is interested in studying the use of hypnosis to relieve pain. She took a random sample of 16 subjects and measured their sensory ratings. The mean of the sensory ratings was found to be 7.5 and standard deviation to be 2.3. It is known that the sensory ratings are normally distributed. Construct a 99% confidence interval for the mean sensory ratings of the population. a) (5.81, 9.19) b) (6.27, 8.73) c) (6.36, 8.64) d) (6.02, 8.98)
Captopril is a drug designed to lower systolic blood pressure. In a trial, 12 randomly selected subjects were treated with the drug and another 12 randomly selected subjects were treated with the placebo. Assume the two populations are normally distributed. The results and some summary statistics are shown in the table. Note that some of the summary statistics may not be useful or relevant! Data Group Placebo 200 174 198 170 179 182 193 209 185 155 169 210 (ž1 = 185.3) (s1 = 17.1) Captopril (I2 = 166.8) (s2 = 14.9) d = I1 – 12 (d = 18.6) (sa = 10.1) %3D %3D 191 170 177 167 159 151 176 183 159 145 146 177 9. 4 21 3 20 31 17 26 26 10 23 33 %3D data %3D Using a 0.01 significance level, is there sufficient evidence to support the claim that the mean systolic blood pressure is lower for those treated with the drug than for those treated with the placebo? Use the p-value method. For full marks, include a diagram of the distribution indicating important components of the question.
Hoaglin, Mosteller, and Tukey (1983) presented data on blood levels of beta-endorphin as a function of stress. They took beta-endorphin levels for 19 patients 12 hours before surgery and again 10 minutes before surgery. The data are presented below, in fmol/ml Construct a 95% confidence limits on the true mean difference between endorphin levels at the two times described. Participant 12 hours before 10 minutes before 1 10 6.5 2 6.5 14.0 3 8.0 13.5 4 12 18 5 5.0 14.5 6 11.5 9.0 7 5.0 18.0 8…
Can you solve this problem about the confidence interval?
A sample of 14 male college students consumes an average of 14.3 gallons of beer per month, with a sample standard deviation of 5.2 gallons. You can safely assume that the population of monthly beer consumption is Normally distributed. What is the margin of error for a 90% Confidence Interval for the mean? (Leave your answer to two decimal places, ex: 18.12)
The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to ciear up severe bladder infections. Find a 95% confidence interval for the difference u,-H, between in the mean recovery times for the two medications, assuming normal populations with equal variances. Medication 1 x, 13 s = 14 s =1.6 n, = 14 Medication 2 n211 X2= 16 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table ofcritical values of the t-distribution The confidence interval is
The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 90% confidence interval for the difference μ₂-μ₁ between in the mean recovery times for the two medications, assuming normal populations with equal variances. n₁ = 13 X₁ = 11 Medication 1 + X₂ = 16 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Medication 2 = 19 n₂ = The confidence interval is
Solve Question 2 Please show work
A researcher collected sample data for 15 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred milliliters) of 192.7, with a standard deviation of 6. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 99% confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) Lower limit: Upper limit: X Ś

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