You wish to test the following claim (HaHa) at a significance level of α=0.02       Ho:μ=82.7       Ha:μ<82.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=8n=8 with mean M=77.1 and a standard deviation of SD=5.9 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=0.01α=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 (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…

You wish to test the following claim (Ha) at a significance level of α=0.10      Ho:μ=73.8      Ha:μ<73.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=5 with a mean M=64.5 and a standard deviation of SD=10.9 What is the test statistic for this sample? (Report answers accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

A product is designed to have length of 14cm+/0.12cm. the output of the manufacturing process is identified to be centered at 14.0.042cm and the standard deviation is estimated at 0.014cm. determine the capability of the system Cp

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 =

You wish to test the following claim (HaHa) at a significance level of α=0.001      Ho:μ=87.4      Ha:μ>87.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=82 with mean M=93.1 and a standard deviation of SD=12.5What 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

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.      Ho:μ=81.9      Ha:μ≠81.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=12n=12 with mean M=72.6M=72.6 and a standard deviation of SD=7.5SD=7.5.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 α   This p-value 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 not equal to 81.9. B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.9. C.) The sample data support the claim that the population mean is not equal to 81.9. D.) There is not sufficient sample evidence to…

You wish to test the following claim (Ha) at a significance level of α=0.02      Ho:μ=65.9      Ha:μ<65.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=12 with mean x=62.9 and a standard deviation of s=14.8What 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 =