You wish to test the following claim (Ha) at a significance level of a = 0.005. H.:µ = 87.7 Ha:µ + 87.7 You believe the population is normally distributed, but you do not know the standard deviation. data 98.2 101.2 89.2 90.1 96.6 100.7 a. What is the test statistic for this sample? Round to 3 decimal places test statistic = b. What is the p-value for this sample? p-value = Round to 4 decimal places. c. The p-value is... O less than (or equal to) a greater than a d. This test statistic leads to a decision to... Oreject the null O accept the null O fail to reject the null e. 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 87.7. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.7. O The sample data support the claim that the population mean is not equal to 87.7. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 87.7.

Consider a set of data in which the sample mean is 30.230.2 and the sample standard deviation is 7.87.8. Calculate the z-score given that x=31.4x=31.4. Round your answer to two decimal places.

A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.

Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"

A variable is normally distributed with mean 39 and standard deviation 13. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 62.4. b) Find the area under the normal curve to the left of the data value 66,3. c) Find the area under the normal curve to the right of the data. value 51.35. d) Find the area under the normal curve to the right of the date value 43.55. e) Find the area under the normal curve between the data values 43.55 and 66.3.

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