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 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
In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock specimens were weighed in grams on each scale. The following data presented in the table were obtained. Can you conclude that the mean weight differs between the scales? Use a=0.03. Specimen Weight on Scale 1 Weight on Scale 2 d; 1 11.23 11.27 -0.04 2 14.36 14.41 -0.05 3 8.33 8.35 -0.02 4. 10.50 10.52 -0.02 23.42 23.41 0.01 6 9.15 9.17 -0.02 7 13.47 13.52 -0.05 8 6.47 6.46 0.01 9 12.40 12.45 -0.05 10 19.38 19.35 0.03 What are the critical values? A. -1.833,1.833 B. -2.574,2.574 C. -2.398,2.398 D. -2.262,2.262 What is the test statistic and conclusion? A. -2.204; Reject Ho B. -2.204; Fail to reject Ho C. -2.108; Reject Ho D. -2.108; Fail to reject Ho
You wish to test the following claim (H.) at a significance level of a = 0.02. H,:µ = 62.5 Ha:µ > 62.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 67.6 80.2 74.4 66.3 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... O less than (or equal to) a O greater than a
You wish to test the following daim (Ha) at a significance level of a = 0.02. Ho:µ = 58.6 Ha:µ < 58.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 14.2 12 31.5 -11.4 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) a greater than a This test statistic leads to a decision to... O reject the null accept the null fail to reject the null
What is the test statistic and P value?
You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 73.7 HaiH + 73.7 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 54 mean: M = 65.8 standard deviation: SD = 20.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.7. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.7.
You wish to test the following claim (Ha) at a significance level of a = 0.005. H.: µ = 60.8 H.:u > 60.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 92.4 61.2 97.2 82.3 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) a O greater than a 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... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. The sample data support the claim that the population mean is greater than 60.8. There is…
You wish to test the following claim (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P.value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
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 (Ha) at a significance level of a = 0.02. H.:µ = 73.5 Ha:µ + 73.5 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 61 mean: M = 76 standard deviation: SD = 18.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.5. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.5.
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 = 0.05. 79.7 H.:µ < 79.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 95.3 59.8 59.3 63.4 42.9 What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) test statistic = What is the P-value for this sample? (Report answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null fail to reject the null As such, the final conclusion is that... O The sample data support the claim that the population mean is less than 79.7. O There is not sufficient sample evidence to support the claim that the population mean is less than 79.7.

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