A sports enthusiast would like to determine if the average number of penalty minutes per game for teams in the National Hockey League is greater than 12 minutes. A sample of 30 games was taken, and the number of penalty minutes in each game was recorded.  Select the appropriate hypotheses to be tested. Ho:μ=12Ho:μ=12Ha:μ>12Ha:μ>12 Ho:μ=12Ho:μ=12Ha:μ≠12Ha:μ≠12 Ho:¯y=12Ho:y¯=12Ha:¯y≠12Ha:y¯≠12 Ho:¯y=12Ho:y¯=12Ha:¯y>12

The national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from.   H0: μ = 1500; HA: μ ≠ 1500 H0: p = 1500; HA: p > 1500 H0: μ Duke= μ National; HA: μ Duke> μ National H0: x = 1500; HA: x > 1500 H0: μ = 1500; HA: μ > 1500

Question 10 For a two sample test for independent samples, which of the following hypothesis statements is correct? GA HO H2 H 2 8. Ho P2 H 2 OD. Hy H V2- 0 H P20

Do question 7,8 and 9 only  The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The corresponding p-value is 0.0305 0.1212 0.3036 0.7724 Question 7 Suppose that the new study uses a level of significance of 0.05 to test the claim in Question 6. The probability of Type I error is 0.025 0.05 0.95 0.975 Question 8 Based on previous studies of school children who were vaccinated and contracted the flu, the time in hours that the flu symptoms last is assumed to follow a normal distribution with a mean of 20.7 hours and a standard deviation of 7.3 hours. The probability that a randomly selected school child has flu symptoms for more than 24 hours is 0.1628 0.3256 0.6744 0.8372 Question 9 Suppose that a random sample of 5 vaccinated school children is taken. Assuming the…

QUESTION 12 Suppose we are interested in whether travelers departing to Bali have spent researching potential health risks. Let the population proportion be denoted by p and assume we are interested in testing whether there is evidence that more than 40% of travelers have researched potential health risks. Which of the following represents the correct set of hypotheses for this 1-tailed test? O a. Ho: 0 = 0.4 H: р 0.4 O d. Ho: p = 0.4 H1: p> 0.4

A medical journal published new medical research about diastolic blood pressure. Let the mean diastolic blood pressure reading be u mmHg. If a doctor wants to know if the new medical research discussed in the journal results in diastolic blood pressure readings that are, on average, less than 75 mmHg, what are the null and alternative hypotheses? Select the correct answer below: Ho: µ = 75; Ha:H 75 %3D O Ho: µ = 75; Ha: µ + 75

the national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from.   H0: μ = 1500; HA: μ ≠ 1500 H0: p = 1500; HA: p > 1500 H0: x = 1500; HA: x > 1500 H0: μ Duke= μ National; HA: μ Duke> μ National H0: μ = 1500; HA: μ > 1500

Given Ho: μ = 25, Ha: μ# 25, and P = 0.049. Do you reject or fail to reject Ho at the 0.01 level of significance? O A. not sufficient information to decide B. fail to reject Ho O C. reject Ho

Let n1=40​, X1=10​, n2=40​, and X2=20. Complete parts​ (a) and​ (b) below. a. At the 0.05 level of​ significance, is there evidence of a significant difference between the two population​ proportions?   Determine the null and alternative hypotheses. Choose the correct answer below.     A. H0: π1≤π2 H1: π1>π2   B. H0: π1≥π2 H1: π1<π2   C. H0: π1≠π2 H1: π1=π2   D. H0: π1=π2 H1: π1≠π2   Calculate the test​ statistic, ZSTAT​, based on the difference p1−p2.   The test​ statistic, ZSTAT​, is ? ​(Type an integer or a decimal. Round to two decimal places as​ needed.) Calculate the​ p-value.   The​ p-value is ? ​(Type an integer or a decimal. Round to three decimal places as​ needed.)   b. Construct a 95​% confidence interval estimate of the difference between the two population proportions.   ?≤π1−π2≤? ​(Type integers or decimals. Round to four decimal places as​ needed.)

An independent measure research study compares three treatment conditions using a sample of n=5,  in each treatment.  For this study the samples have SS1= 20, SS2= 30, SS= 40. What value would be obtained for MS within?