To test the effectiveness of a treatment, a sample of N= 36 is selected from a normal population with a meanof μ = 60 and a standard deviation of \sigma = 10.The mean for the sample is M = 55. We want to testwhether the treatment had an effect on scores. a.Using symbols, state the hypotheses (H0 and H1) for atwo-tailed test. b. Identify the decision criteria (criticalvalues) for \alpha .05, 2-tailed on the distributionbelow, using lines or arrows. c. Calculate the teststatistic (z) for the sample. d. Make a decisionregarding the hypothesis based on the results and writea conclusion sentence summarizing the results of theresearch.

a.Suppose is the population mean.The sample size is .The sample mean is, .The population standard…

Answered: To test the effectiveness of a…

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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The amount of time college students sleep each night is normally distributed with a mean of 6 and a standard deviation of 2.5. The amount of tiem high schoolers sleep each night is normally distributed with a mean of 8 hours and a standard deviation of 4 hours. Compare a college student whoe sleeps 4.5 hours with a high schooler who sleeps 6 hours a night. Use z-score in you anaylisis and show work.
PEF is a measure of patient's abiltity to expel air from lungs. PEF for children free of asthma is 306. investigator wants to know whether children with chronic bronchitis have restricted PEF. sample of 40 children with chronic bronchitis are studied, their mean PEF is 279, standard deviation 71. Is there stastical evidence of lower mean PEF in children with chronic bronchities? Run appropriate test at alpha = 0.05
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 73 and standard deviation of 5.4 grams per milliliter.For each of the following answers have at least 4 decimal digits of accuracy. What percentage of compounds formed from the extract of this plant fall within 1 standard deviations of the mean?
Suppose that scores on Statistics final exam of Business School in UK are normally distributed. To estimate the average score on the exam for all students, I take my class as a random sample of size 25. The sample yielded mean, = 35 and sample standard deviation, s = 15. Give a 95% confidence interval for the average score on the final exam of Statistics for all Business School students. *(no use EXCEL)
In order to evaluate a spectrophotometric method for the determination of titanium concentration, the method was uased on 64 alloy samples containing different certified amounts of titanium. For each alloy, eight different concentrations of titanium were made. Additionally, two spectrophotometer machines were used in the lab to control for possible variation between machines. Each machine received a random allocation of each concentration of alloy. Below you will find an ANOVA analysis for difference in certified mean concentrations detected using machines as a blocking fator. (You will have to calculate some of the values in the tables marked with ). Concentration 1.93 Machine 0.16 Residuals 14.27 Which one of the following is correct given the ANOVA table (using a 5% level of significance)? A. The method was able to detect the difference in the concentrations of titanium alloys; additionally, there was a detectable difference in the mean concentration between machines.…
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with \mu = 96 and \sigma = 27. (a) What proportion of children aged 13 to 15 years old have scores on this test above 78 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) Answer: (b) Enter the score which marks the lowest 25 percent of the distribution. Answer: (c) Enter the score which marks the highest 15 percent of the distribution.
The National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128 with a standard deviation of 15. In a sample of 72 CSLA male faculty members in this age group a nursing faculty member found an average systolic blood pressure of 126. (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?
The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1100 who were over the age of 25, and 871 of them were high school graduates, (a) Find the mean and standard deviation for the number of high school graduates in groups of 1100 Americans over the age of 25. Mean = %3D Standard deviation = (b) Is that county result of 871 unusually high, or low, or neither? (Enter HIGH or LOW or NEITHER) Give your answers exactly, or to at least 4 decimal places.
A statistics student randomly selected 45 packets of sugar and weighed the contents of each packet, getting a mean of 3.586 grams and a standard deviation of 0.194 grams. Test the claim that the weights of the sugar packets have a mean no longer equal to 3.5 grams, as indicated on the label. Let "alpha" be 0.10 to test this claim. What is the "decision rule" for the test if you are using the traditional method? Label and shade the picture below accurately to help you answer this question. ("TS" means the test statistic value)
A population of N=10 scores has a mean of 200 and SS = 160. Calculate: the sum of X sum of (X-mean) sum of X-mean sum of (X-mean)^2 mean^2 standard deviation variance
A survey found that women's heights are normally distributed with a mean of 62.7 inches and a standard deviation of 3.7 inches. The survey also found that men`s heights are normally distributed with a mean of 69.8 inches and a standard deviation of 3.8 inches. Consider an executive jet that seats six with a driveway height of 56.1 inches. What percentage of adult men can fit through the door without bending?

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