KwSResearchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets)group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samplesselected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.xa. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.What are the null and alternative hypotheses?View an example Get more help.HdOA. Ho: Hy #4₂H₁: Hy OLcommandPClear all--x:option{[?1Treatment Sham14HH₁1₂n22220.41x 0.55S 0.631.41HCheck answer}1deletereturnshif

From the provided information, n1=22x1=0.55s1=0.63n2=22x2=0.41s2=1.41

Answered: Researchers conducted a study to…

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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B. Samples of size n were randomly selected from the population. The mean and the standard deviations of the population are given below. In each case, find the mean and the variance of the sampling distribution of the means. μ = 3; o = 1.3 1. n = 2; 2. n = 5; μ = 2.75; o = 3.5 3. n = 8; μ = 32; o = 7.9 n = 6; μ = 4.3; o = 1.9 4. 5. n = 2; μ = 1.5; o = 2
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Fill in the blanks. a. Positive correlations between observations of the response variable result in an underestimate of ________. b. Data collected from a designed experiment is generally preferable to data obtained from ________. c. Adata point whose removal has a substantial effect on one or more sample regression coefficients is called an _________.
The scatterplot below shows the relationship between two random variables X and Y. (a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means. (b) If, as noted in (a), r = -0.15 then what is the value of the correlation between 2X and 5Y? (c) Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make a rough sketch of the corresponding residual plot.
Consider the following data: 7 8 P(X = x) 0.2 0.2 0.2 0.2 0.2 %3D Step 2 of 5: Find the variance. Round your answer to one decimal place. 5.
In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 58 subjects wore magnetic insoles and 40 subjects wore nonmagnetic insoles. The results are shown at the right. At a= 0.06, can you support the claim that there is a difference in the proportion of subjects who feel better between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Do you Feel Better? Magnetic Insoles I Yes 20 I No 38 Nonmagnetic Insoles Yes 17 No 23 (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. z O B. z> O D. z< C. (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis Choose the correct answer below.
Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation between X and Y is 0.64. Find Var (X +Y).
Need help with question b (the answer is not -0.64 ; 0.82)
The average score on a statistics test was 2.21 with a standard deviation of 0.88. The teacher suspects that the exam was very difficult; Based on the above, you want to adjust the scores so that the mean is 3.37 and the standard deviation is 0.25. Compute the values a and b such that the fit of type aX+b gives the desired mean and variance? Calculate: a= Answer b= Answer TIP: Use expected value and variance properties.
Compute the (sample) variance and standard deviation of the data sample. (Round your answers to two decimal places.) −1, 7, 7, 3, 14 Variance: Standard Deviation:
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal. The value of the test statistic is 1.80 O b. 3.6 С. 0.45 2.
Let X be a random variable with X = -3and oz 5. Find the mean and the variance of Y = -2X -3

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