You wish to test the following claim (H) at a significance level of a = 0.05. H:µ = 74.7 Ha:u < 74.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 44.8 55 76.2 105.5 74.1 80 67 70.8 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 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 accept the null O fail to reject the null As such, the final conclusion is that... OThere is sufficient evidence to warrant rejection of the claim that the population mean is less than 74.7. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 74.7. The sample data support the claim that the population mean is less than 74.7. O There is not sufficient sample evidence to support the claim that the population mean less than 74.7.

You wish to test the following claim (Ha) at a significance level of a = 0.10. 51.3 Ηο:μ Ha:μ< 51.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 56 49.5 56.8 48.9 55.7 55.7 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 =

You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho: H 63.6 На: и > 63.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 66.9 78.6 53.8 57.9 57 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 (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

The testing times for a group of college students were normally distributed with a mean of u : 31 minutes and a standard deviation of o = 4.8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. H = 31 4.8 O = H-30 u-20 u - o μ+ 20 μ+3σ Used the Empirical Rule to complete the following statements: 68% of testing times were between minutes and minutes. 95% of testing times were between minutes and utes. 99.7% of testing times were between minutes and minutes. 50% of testing times were below minutes.

What is the test statistic and 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 =

The time to complete an exam is approximately Normal with a mean μ = 47 minutes and a standard deviation o = 8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. μ-3σ μ-2ο μίσ + μ μ+o 47 minutes. 2. Used the Empirical Rule to complete the following statements: 95% of testing times were between and μ = 47 σ = 8 μ+20 μ+30 minutes and 55 minutes. minutes % of the testing times were between 39

You wish to test the following claim (H) at a significance level of a = 0.10. H.:µ = 66.2 Ha:µ + 66.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 10 with mean M = 43.4 and a standard deviation of SD = 18.5. 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? (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 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 not equal to 66.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 66.2. O The sample data support the claim that the population mean is not…

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…