A researcher compares the effectiveness of two different instructional methods forteaching anatomy. A sample of 218 students using Method 1 produces a testingaverage of 58.7. A sample of 243 students using Method 2 produces a testing averageof 54.7. Assume that the population standard deviation for Method 1 is 18.63, whilethe population standard deviation for Method 2 is 16.17. Determine the 95%confidence interval for the true difference between testing averages for students usingMethod 1 and students using Method 2.Step 1. Find the point estimate for the true difference between the population means.Answer:_pointsStep 2. Calculate the margin of error of a confidence interval for the difference betweenthe two population means. Round your answer to six decimal places.pointsAnswer:Step 3. Construct the 95% confidence interval. Round your answers to one decimalplace.Answer: Lower endpoint:Upper endpoint:

Answered: Image /qna-images/answer/44e8e64c-8322-4820-a5f9-ba87ee597da1.jpg

Answered: A researcher compares the effectiveness…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Mrs. Gallas wanted to estimate the average weight of an Oreo cookie to determine if theaverage weight was less than advertised. She selected a random sample of 30 cookies andfound the weight of each cookie (in grams). The mean weight was = 11.1921 grams with astandard deviation of sx = 0.0817 grams. Make a 95% confidence interval to estimate the truemean weight of an Oreo. 1. What is the formula for calculating the standard deviation of the sampling distribution of x? 2.What condition must be met to use this formula? Has it been met?
A forestry researcher is conducting a study of trees in the upper midwest. He selects a random sample of 125 red maple trees and measures the trunk diameter of each. The mean of the sample is 25 inches with a standard deviation of 5.2 inches, use this to find a 95% confidence interval for the mean trunk diameter of all red maple trees.
A college admissions director wishes to estimate the mean age of all students currently enrolled. In a random sample of 30 students the mean age is found to be 21.5 years. From past studies the population standard deviation at the college is known to be 1.2 years and the population is normally distributed. Construct a 95% confidence interval of the population median age.
MODULE 2 2. A sample of 20 bags of the same brand of candies was selected and found a mean weight of 120 grams. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The population standard deviation is known to be 2.1 grams. Construct a 90% confidence interval for the population mean weight of the candies. 3. A survey of 200 Internet users shows that they spend an average of 2 hours and 22 minutes per day on social networking. If the margin of error is 2.2 hours at 95% confidence, construct the confidence interval. 4. Suppose that a government law office does a study to determine the time needed to complete one personal profile sheet for consultation. It randomly surveys 100 people. The sample mean is 23.6 minutes. There is a known standard deviation of 7.0 minutes. The population distribution is assumed to be normal. Construct a 95% confidence interval for the population mean to complete the form. 5. A camp counselor is interested…
The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 18 voters is taken and results in a sample mean of 55 years. Find the margin of error for a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Over a period of 10weeks, a veterinarian took blood glucose reading from a horse, finding a mean of 93.8 mg/100 ml. and a standards deviation of 12.5 mg/ml. The mean glucose level for a healthy horse is 85 mg/ml. a. Perform a test of hypothesis at a 80% confidence level. Use the p-value method and a two tailed test of hypothesis. b. Perform a test of hypothesis at a 90% confidence level. Use the critical value method and a right tailed test.
Find the 95% confidence interval for the variance and standard deviation for the time it takes a state police inspector to check a truck for safety if a sample of 21 trucks has a standard deviation of 5.2 minutes. Assume the variable is normally distributed.
A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 131 students using Method 1 produces a testing average of 88.1. A sample of 142 students using Method 2 produces a testing average of 87.1. Assume that the population standard deviation for Method 1 is 11.46, while the population standard deviation for Method 2 is 9.78. Determine the 95% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 2: Construct the 95% confidence interval. Round your answers to one decimal place.
An farmer is convinced that the weighing instrument for palay had a variability measured by standard deviation equal to 2. He recorded the measurements 4.1, 6.5, 5.2 and 10.2. Do these data confirm or disprove his assertion? Use a 95% confidence level.
In a random sample of 17 people, the mean commute time to work was 30.2 minutes and the standard deviation was 7.1 minutes. Assume the population is normally distributed and use a t- distribution to construct a 95% confidence interval for the population mean y. What is the margin of error of y? Interpret the results.
A ecologist wishes to estimate the mean lifespan for a specific species of bird. Assume that bird lifespan is normally distributed and that each bird's lifespan is independent of all others. The researcher analyzes a random sample of n=7 deceased birds to find out how long they lived for. It is found that the mean lifespan in the sample is y= 5 4 years with standard deviation s=13 years. Choose the correct formula for a 95% confidence interval for the true mean lifespan. X± to.975,n O xt to.975,n-1 n-1 O none of these X+ Z0.975 O x+ to.975,n-1' O xt to.975,n-15
A sample of 30 NBA players had a sample mean of their heights as 80.5 inches. If the standard deviation of the population of NBA players is 3.5 inches, find a 90% confidence interval for the average height of all NBA players.

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