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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solve for image and find critical values
The mean of the commute time to work for a resident of a certain city is 27.3 minutes. Assume that the standard deviation of the commute time is 7.1 minutes. What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean?
Cranberry syrup is packaged using two production lines. A sample of 5 packs from the first line has a mean of 1.2 quarts with a standard deviation of O.02 quarts. A sample of 6 packs from the second line has a mean of 1.15 quarts with a standard deviation of 0.01 quarts. What is the value of the test statistic? * О 4 0.05 O 2 0.01
Assume that scores on a bone mineral desity test are normally distributed with a mean of 0 and a standard deviation of 1. b. what do the symbols mean^2 and standard deviation ^2 represent.
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.…
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?
Your research group has been hired to determine if college men and women drink different amounts of soft drinks at Illinois State University. After a careful study, your group has determined that males drink an average of 12 sodas per week with a standard deviation of 3.5 whereas female students drink an average of 9 soft drinks per week with a standard deviation of 2 sodas. The sample size of males is 200 and the sample size of females is 200. Based on this information, your group calculates the z-score to be: [____].
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.
Systolic blood pressure in healthy adults has a normal distribution with mean of 112 mmHg and standard deviation of 10 mmHg. Outside what range of values would we flag patients as needing follow-up, assuming we want to flag patients whose systolic blood pressure was outside of 2 standard deviations? Examined as a diagnostic test, how would sensitivity and specificity of this test change if we start flagging blood pressure values outside of 1 standard deviation instead of 2?
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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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