4. Find a 95% confidence interval for the difference of two means when youhave independent samples, both of size 64, from two populations, in whichthe variances are not known to be equal. In this case, n₁-64, s₁²=6.1, thefirst sample mean is equal to 7.9; n2 =64, s2²-10.4, the second sample meanis equal to 8.5Interpret the interval once you find it. Namely, can you conclude one meanis greater than the other mean and if so, which one?

Sample statistics for two independent samples are given below:, , , , Confidence interval:

Answered: 4. Find a 95% confidence interval for…

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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2 questions Are the data sufficient to indicate a significant change in cholesterol level? Test with α = .05. 2. Compute r2, the percentage of variance accounted for by the treatment, to measure the size of the treatment.
Does increased sleep lead to better SAT scores? A sample of 11 participants slept for at least 10 hours before taking the SAT. The sample's SAT scores were compared to the national average SAT score (population mean). Analyses found that participants in the sample had significantly higher SAT scores compared to the population, with t-statistic = 2.00. How much of the variance in SAT scores was explained by increasing sleep?
For a standardized psychology examination, the scores have a mean of 500 and a variance of 9475. It is hypothesized that the variance, o, of scores for psychology majors on this exam is lower than 9475. A random sample of 26 exams completed by psychology majors had a mean of 509 and a variance of 3987. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.01 level of significance, that the hypothesis is correct? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O
A company is doing a hypothesis test on the variation in quality from two suppliers. Both distributions are normal, and the populations are independent. Use a = 0.01. A sample of 22 products were selected from Supplier 1 and a standard deviation of quality was found to be 5.2696. A sample of 27 products were selected from Supplier 2 and a standard deviation of quality was found to be 3.8328. Test to see if the variance in quality for Supplier 1 is larger than Supplier 2. What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer ? v Select an answer H1: Select an answer v Select an answer Based on the hypotheses, compute the following: Round answers to at least 4 decimal places. The test statistic is = The p-value is = The decision is to Select an answer v that the variance in The correct summary would be: Select an answer quality for Supplier 1 is larger than Supplier 2.
A study is conducted to compare the lengths of time required by men and women to assemble a certain product. Past experience indicates that the distribution of times for both mean and women is approximately normal but the variance of the times for women is less than that for men. A random sample of times for 11 mean and 14 women produced the following data women men n1 = 14 n2 = 11 s1 = 5.3 s2 = 6.1 Can you conclude that variance of the times for women less than that for men?
A least squares line is given by = 3 + (-2)*x. You are told that the sample variance of x is 25 and sample variance of y is 144. What is the value of the correlation coefficient r?
also show full diagram
A medical researcher wishes to see whether the variance of the heart rates (in beats per minute) of smokers is different from the variance of heart rates of people who do not smoke. Below is the data from two samples. Using α = 0.05, is there enough evidence to support the claim? Smokers Non-Smokers n1 = 26 n2= 18 s12 = 32 s22 = 10
Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.
A correlation of +.20 means that [blank] of the variance in the outcome variable is accounted for by the predictor variable.
can you fill in the blanks
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