Provided below are summary statistics for independent simple random samples from two populations. Use thepooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specifiedconfidence interval.x₁ = 13, S₁ = 2.2, n₁ = 19, x₂ = 15, S₂ = 2.5, n₂ = 19a. Two-tailed test, α = 0.05b. 95% confidence intervalNext, compute the test statistic.t= (Round to three decimal places as needed.)Now determine the critical values.(Round to three decimal places as needed.)±ta/2 = ±What is the conclusion of the hypothesis test?Since the test statisticin the rejection region,b. The 95% confidence interval is from to(Round to three decimal places as needed.)Ho.Time Remaining: 01:29:12Submit test

The provided sample information is: x¯1=13; s1=2.2; n1=19x¯2=15; s2=2.5; n2=19 The desired…

Answered: Provided below are summary statistics…

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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Below are the sample standard deviations and sample sizes for independent simple random samples from two populations. Use the two-standard-deviations F-test and the two-standard-deviations F-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. S₁ = 21.5, n₁ = 13, S₂ = 36.9, n₂ = 5 a. two-tailed test, a = 0.05 b. 95% confidence interval
A simple random sample of size n=200 individuals who are currently employed is asked if they work at home at least once per week. Of the 200 employed individuals surveyed, 35 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.
Estimate the minimum sample size needed to achieve the margin of error E = 0.025 for a 95% confidence interval. The minimum sample size is. (Round up to the nearest integer.)
Assume that you have a normally distributed variable with known standard variance. How many standard errors do you need to add and subtract from the sample mean to obtain a 95% confidence interval?
We have developed a new drug used to reduce fever and want to test its efficacy. Ten ER patients who are running a fever agree to take the new drug instead of the traditional treatment. Their temperatures are taken before the drug is administered and 30 minutes after taking the drug. The results are recorded in the Excel file below. Use the data to construct and interpret a 99% confidence interval for the mean change in temperatures of patients after taking this drug using Excel. Be sure to include any explanation necessary along with a sentence that explains what the interval means. First Temp Second Temp 100.1 98.9 101.3 99.1 102.1 99.2 102.7 99 101.9 98.7 100.8 98.6 103.1 99.4 102.5 99.2 103.5 100.1 101.7 99.2
Two groups were selected for an experiment. The sample data is reported: Group A Group B Sample Mean Spending/day ($) 170 150 Sample Standard deviation ($) 10 5 # of Females 9 7 Sample Size 36 42 a. Set up a 99% confidence interval for the mean difference in spending between the two groups. b. At the 10% level test the alternate hypothesis that group B has lower spending level than Group A.
During the nutrition research, the amount of consumed kilocalories per day was measured for 18 people - 10 women and 8 men. Results are as follows: Women: 2026, 1600, 1700, 1950, 1922, 1786, 1712, 1777, 2006, 1832; Men: 2170, 2557, 2384, 2427, 2334, 2228, 2161, 2459. Calculate a 90% confidence interval on the mean for women and men separately. Assume distribution to be normal. Round your answers to the nearest integer (e.g. 9876). Women: i Men: i
Estimate the minimum sample size needed to achieve the margin of error E= 0.026 for a 95% confidence interval.
Find the value for each ta/2 Prompts Submitted Answers n = 18 for the 99% confidence interval for the Choose a match mean. n = 10 for the 90% confidence interval for the Choose a match mean. n = 15 for the 98% confidence interval for the Choose a match mean.
In a sample of 10 randomly selected black bears from northeast Pennsylvania, the sample mean was 214.1 pounds and the sample standard deviation was 51.1 pounds. Construct a 99% confidence interval estimate for the population standard deviation of all black bears in this region.
Estimate the minimum sample size needed to achieve the margin of error E=0.013 for a 95% confidence interval.
Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 1800 people with 1291 of them having the same attribute. Compare the results from a hypothesis test p1=p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2. What are the null and alternative hypotheses for the hypothesis test?

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