Use this information for questions 21 through 25. An NHANES report gives data for 654 women aged 20 to 29 years. The mean BMI of these 654 women was )2 = 26.8. On the basis of this sample, we want to estimate the mean BMI u in the population of all 20.6 million women in this age group. Past research provides the population standard deviation 0' = 7.5. Question 21 (1 point) To match the "simple conditions," referenced in chapters 16 and 17, we have to make certain assumptions about the sample that is given. Which one of these is NOT one of those 'simple conditions?' 0 we will treat the NHAN ES sample as an SRS with no bias issues. 0 In the population of women aged 20 to 29, BMI follows a Normal distribution. 0 we will assume the sample Perfectly represents the population it came from O In the population of women aged 20 to 29, BMI has known standard deviation a= 7.5. Question 22 (1 point) Based on the information provided, we can give a "95% confidence interval for u" is. ( blank 1 , blank 2 ) {Put your answers out to two decimal places, so xx.xx and xx.xx.} :] :l Question 23 (1 point) Because we got the interval from a method that captures the population mean for 95% of all possible samples, we say that we are 95% that the mean BMI u of women aged 20 to 29 is some value in the interval 0 confident O hypothesis 0 absolute O certain Question 24 (1 point) If we pick a single random young woman aged 20 to 29 and measure her BMI, we will find 0 that her BMI is between 26.22 to 27.38, but only 95% of the time. O that her BMI is between 26.22 to 27.38. 0 95% confidence that her BMI is 26.8. 0 none of these. A confidence interval is about the population mean, not individual observations. 0 that her BMI is exactly 26.8. Question 25 (1 point) Based on the same sample, a "99.7% confidence interval for u" is 26.8 +- 0.58 26.8+-26.8 26.8 +- 0.29 26.8+-0.87 O 26.8 +- 99.7Question 26 (1 point) Biologists studying the healing of skin wounds measured the rate at which new cells closed a razor cut made in the skin of an anesthetized newt. Data from an SRS of 18 newts gave x = 25.67 micrometers per hour. It is known from other research that 0' for these newts is 8 micrometers per hour. Let p. = the mean healing rate for all newts of this species. An appropriate estimate of the value of u is a confidence interval. What is the margin aferrorfor a level C = 96% confidence interval for u ? Q a) 0.913 O b) 3.87 O c) 2* = 2.054 Q d) Ho: [1 = 25.67 0 e) well, u must be about 25.67. Question 27 (1 point) Biologists studying the healing of skin wounds measured the rate at which new cells closed a razor cut made in the skin of an anesthetized newt. Data from an SRS of 18 newts gave 2 = 25.67 micrometers per hour. It is known from other research that 0' for these newts is 8 micrometers per hour. Let p. = the mean healing rate for all newts of this species. An appropriate estimate of the value of u is a confidence interval. The previous problem asked for the margin of error for a level C = 96% confidence interval. If we repeat the calculation using 98% confidence instead of 96%, the new margin of error will be 0 the same as for the previous problem, both questions are about the margin of error. 0 larger because 98% is larger than 96%. 0 smaller because 98% is larger than 96%. 0 cannot be determined without actually calculating the new confidence interval. Question 28 (1 point) The examinations in a very large Accounting class are scaled after grading so that the mean score for the entire class is 50. The professor thinks that one teaching assistant is a poor teacher and suspects that the TA's students have a lower mean score than the class as a whole. The TA's students this semester can be considered a random sample from the population of all students in the course. The appropriate statistical procedure in this situation is 0 no statistics are involved here, the TA was teaching at random. 0 a hypothesis test comparing the TA's mean to 50. O a confidence interval for the TA's mean because we don't know 0' for the population of all students in the course. 0 the sampling distribution of all of the TA's students. Question 29 (1 point) The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitudes, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a Normal distribution, with mean of 115 and standard deviation 25. A researcher suspects that incoming freshmen have a mean p, which is different from 115, because they are often excited yet anxious about entering college. To verify her suspicion, she tests the hypotheses H0: p = 115 Ha: p at 115. The researcher gives the SSHA to 100 incoming freshmen and observes a mean score of 119. Assume that the scores of all incoming freshmen are approximately Normal with the same standard deviation as the scores of all college students. The P- value of the hypothesis test is a) 1.60 O b) .9452 O c) 0.106 O d) 0.0548 O e) 0.0007 Of) - 1.60Question 30 (1 point) In a test of hypotheses, the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed is called the O a) P-value of the statistic. O bl null hypothesis. 0 Cl statistical significance. 0 dl sampling distribution. Question 31 (1 point) The Systolic Blood Pressure (SBP) of a simple random sample of 100 nurses has a sample mean X = 125.8. A researcher plans to test this sample against published information that the mean SBP in the population as a whole is u = 128. If the standard deviation of SBP for the entire population of nurses is assumed to be 0' = 16, find the value of the 2 test statistic for this sample. 0 a) 0.1676 0 b) 0.9162 0 c) 0.0838 0 d) -1.38 0 e) 1.38 O f) -13.75