You wish to test the following claim (Ha) at a significance level of a = 0.01.H.:µ = 55.8Ha:µ > 55.8You believe the population is normally distributed, but you do not know the standard deviation. Youobtain the following sample of data:Column AColumn B Column CColumn DColumn E72.373.753.674.641.941.939.430.559.568.135.664.553.650.758.676.55647.761.376.565.343.27343.874.663.266.46975.566.447.762.265.349.244.46972.370.56955.164.960.753.366.839.462.250.752.36967.2What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =

Null and the alternative hypothesis: The level of significance is,

Answered: You wish to test the following claim…

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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You wish to test the following claim (Ha) at a significance level of a 0.01. Ho: 41 Ha: µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 52.4 66.6 56.9 44 51.3 49.3 51.6 50.4 58.7 31.3 54.4 26.4 39.9 50.1 48.3 24.9 50.9 36.6 54.7 63.4 61.2 42.3 36.3 32.1 37.7 58.4 67.1 35.4 34.1 56.1 43.1 54.7 69 48 56.1 57.8 43.1 54.1 33.2 49.5 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =
7.1 Calculate the Sample mean: Sample standard deviation :
The following data was collected during the Framingham Heart Study. Is there a statistically significant difference in mean SBP between men and women using a 5% level of significance? Sample size Mean Standard Deviation Men 1623 128.2 17.5 Women 1911 126.5 20.1
In a study on running and happiness, runners indicated the number of miles they ran in a day and their subsequent score on a Happiness Survey (higher score = greater happiness). Runner # of miles (x) Happiness Score (y) 1 16 12 2 4 3 12 14 4 2 8 For these data: The mean of miles run is: 8.50 The mean of the Happiness scores is: 10.00 The standard deviation of the Miles scores is: 5.72 The standard deviation of the Happiness scores is: 3.16 In your submission, please include a copy of the SPSS or Excel output and answer the following: A. What is the r and r? value? B. Based on Pearson's r and r2 value, describe the relationship (direction/strength) that exists between # of miles run and Happiness scores. C. Create a scatterplot for the data using Excel or SPSS (include output in your submission). D. Insert the prediction line from Excel/SPSS on your scatterplot.
You wish to test the following claim (Ha) at a significance level of α=0.02α=0.02. Ho:μ=58.8Ho:μ=58.8 Ha:μ>58.8Ha:μ>58.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 70.9 41.4 73.5 77.6 63.1 53.9
You wish to test the following claim (Ha) at a significance level of a = 0.02. || 74.4 Ha:µ + 74.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 82.1 86.3 73.9 81.8 66.3 56.6 73.4 74.7 78.5 93.6 60 79.8 71.4 76.3 86.8 60 82.1 69.6 87.7 79.5 96.1 88.2 97.9 81.8 66.7 72 86.3 82.1 78.7 57.9 79.3 62.9 85.5 75 75.5 71.1 64 71.7 62.3 86.3 69.2 80.9 85.2 75.8 88.2 83.7 65.9 63.5 86.3 67.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (HaHa) at a significance level of α=0.10 Ho:μ=68.5 Ha:μ≠68.5You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 60.9 62.9 57.9 74.8 74.8 74.1 74.8 60.7 61.2 63.6 69 71.7 What is the critical value for this test? critical value = ±What is the test statistic for this sample? test statistic =
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=63.7Ho:μ=63.7 Ha:μ<63.7Ha:μ<63.7You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D 66.7 56.1 82.1 74.8 60.4 57.5 55.2 52.4 74.8 56.1 83.6 98 49.5 33.7 83.6 44.9 27.3 29.8 39 92.9 42.2 29.8 25.8 42.7 64.5 69.7 58 38.4 76.6 50.9 57.5 69.7 47 43.9 65 67.8 What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =
The data given below are the weights for a sample of babies. Assume the population of birth weights is normally distributed with a mean of μ= 7.10 DATA: 6.88 6.00 8.19 7.44 7.06 5.06 8.38 7.44 8.31 6.38 What is the mean weight in our sample? What is the standard deviation of our sample? What is the z-score for the heaviest baby in the sample? Give both the X-value and the z-score. What is the z-score for the lightest baby in the sample? Give both the X-value and the z-score. Assuming the distribution of birth weights is normally distributed, what percent of the babies in this distribution weigh more than our heaviest baby?
You wish to test the following claim (Ha) at a significance level of α=0.10. Ho:μ=72.2 Ha:μ≠72.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 102.6 66.5 52 59.2 91.1 100.3 47.4 77.7 70.8 94.7 83.9 107.6 87.7 65.4 82.3 88.2 87.7 68 60 95.3 78.4 72.9 101.4 58.3 59.2 100.3 71.6 76.1 74.9 74.9 56.2 88.2 77.7 72.9 90.6 81.1 55 86.4 78 53.6 57.3 86 94 50 85.1 105.6 92.2 70.3 73.7 59.2 81.9 78 86.4 75.7 86 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α greater than α
You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 70.2 Ha:u < 70.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 53.5 57.6 58 61.3 58.3 70 76.5 71.4 44.6 70 66.8 80.6 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic - The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 70.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 70.2. O The sample data support the…

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