You wish to test the following claim (Ha) at a significance level of a = 0.10.Ho:μ = 76.3Ha: μ < 76.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain asample of size n = 72 with a mean of M = 72.5 and a standard deviation of SD = 8.7.What is the critical value for this test? Use the TI-84 or online t or z-score calculator. (Round to three decimalplaces.)Critical value=What is the test statist: for this sample? (Round to three decimal places.)Test statistic =The test statistic is...in the critical regionnot in the critical regionThis test statistic leads to a decision to...reject the nullfail to reject the nullAs such, the final conclusion is that...(Watch the video below for help with the conclusion.)The sample data support the claim that the population mean is less than 76.3.There is not sufficient sample evidence to support the claim that the population mean is less than 76.3.

Given Information: Null Hypothesis H0:μ=76.3 Alternative Hypothesis Ha:μ<76.3 Significance level…

Answered: You wish to test the following claim…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 74.9 H.:p 74.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 84 with mean M = 74 and a standard deviation of SD = 6.4. 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... O 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
You wish to test the following claim (Ha) at a significance level of a = 0.10. Ho: μ = 64.2 Ha: μ < 64.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 12 with mean M = 45.9 and a standard deviation of SD = 17.1. 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 = The p-value is... O 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 As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 64.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.2. O The sample data support the claim that the population mean is less than…
You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:μ=63.3 Ha:μ>63.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=62 with mean M=68 and a standard deviation of SD=16.2.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 This test statistic leads to a decision to... reject the null accept the null 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 63.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.3. The sample data support the claim that the population mean is greater…
You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ=59.9 Ha:μ>59.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=93n=93 with mean M=62.6M=62.6 and a standard deviation of SD=9.4SD=9.4.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) αα greater than αα This test statistic leads to a decision to... reject the null accept the null 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 59.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.9. The sample data support the claim that the…
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=66.4Ho:μ=66.4 Ha:μ>66.4Ha:μ>66.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 100.4 87.6 88.2 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) αα greater than αα This test statistic leads to a decision to... reject the null accept the null 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 66.4. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 66.4. The sample data support the claim that the…
You wish to test the following claim (H) at a significance level of a = 0.001. Ho:μ = 59.6 Ha: μ < 59.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 723 with mean M 59.2 and a standard deviation of SD = 5.2. 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 Ogreater 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 less than 59.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 59.6. The sample data support the claim that the population mean is less than…
You wish to test the following claim (Ha) at a significance level of α=0.002 Ho:μ=81.8 Ha:μ<81.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22 with mean M=76.5 and a standard deviation of SD=14.6What 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... A-less than (or equal to) αα B-greater than αα This test statistic leads to a decision to... A-reject the null B-accept the null C-fail to reject the null As such, the final conclusion is that... A-There is sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. B-There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. C-The sample data support the claim that the population mean…
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=50.8 Ha:μ>50.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=7 with mean x=56.1 and a standard deviation of s=8.8What 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) αα greater than αα This p-value leads to a decision to... reject the null accept the null 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 50.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 50.8. The sample data support the claim that the population mean is greater than 50.8. There is not sufficient sample evidence to support the claim that the population mean is greater…
You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: μ = 74.6 Ha: μ < 74.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 34 with mean M 72.9 and a standard deviation of SD = 13.9. 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 Ogreater than a This test statistic leads to a decision to... Oreject 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 less than 74.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 74.6. The sample data support the claim that the population mean is less than…
You wish to test the following claim (HaHa) at a significance level of 0.10. Ho:μ=80.1Ho:μ=80.1 Ha:μ<80.1Ha:μ<80.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=11n=11 with mean M=70.3M=70.3 and a standard deviation of SD=7.7SD=7.7. The test statistic is -4.221 What is the p-value for this sample?
You wish to test the following claim (Ha) at a significance level of α=0.02 Ho:μ=54.6 Ha:μ>54.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=87 with mean M=55.8and a standard deviation of SD=7.7What 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... A-less than (or equal to) αα B-greater than αα This test statistic leads to a decision to... A-reject the null B-accept the null C-fail to reject the null As such, the final conclusion is that... A-There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. B-There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. C-The sample data support the claim that the population…
In a test, the average score is 100. You believe that the average score for your class is higher. You took a sample of 30 students. The average score for this group is 140 with a standard deviation of 15. Test the hypothesis that the average score is greater. Use a = .05. The alternative hypothesis is.. O Ha: µ + 100 Ha: µ 100 O Ha: µ = 100

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