- You Wish To Test The Following Claim Ha At A Significance Level Of A 0 001 H 87 5 He U 87 5 You Believe The Po 1 (214.86 KiB) Viewed 92 times
You wish to test the following claim (Ha) at a significance level of a = 0.001. H: = 87.5 He:u # 87.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 464 with mean M = 86.2 and a standard deviation of SD = 18.2. 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 not equal to 87.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.5. The sample data support the claim that the population mean is not equal to 87.5. There is not sufficient sample evidence to support the claim that the population mean is not equal to 87.5.
You wish to test the following claim (Ha) at a significance level of a = 0.02. H:H= 57.6 H, :μ# 57.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 46.4 36 50.6 38.5 47.1 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 O 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 not equal to 57.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.6.
The sample data support the claim that the population mean is not equal to 57.6. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 57.6.
You wish to test the following claim (Ha) at a significance level of a = 0.001. H:= 60.8 Ηα:μ< 60.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 115 with mean M = 55.3 and a standard deviation of SD = 15.2. 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 O greater than a This test statistic leads to a decision to... O reject the null 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 60.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 60.8. The sample data support the claim that the population mean is less than 60.8. There is not sufficient sample evidence to support the claim that the population mean is less than 60.8.