1. Suppose that you want to test Ho: = 84 agains H: < 84. You collect...

  

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1. Suppose that you want to test Ho: = 84 agains H₁: < 84. You collect a sample that has a sample mean of F = 76. You run the appropriate hypothesis test and get a P-value of 0.0213. (a) Describe (in words) what this P-value means. I'm not asking if you would reject or fail to reject Ho. I'm asking you to think about the definition of the P-value that we discussed in class and state in your own words what it would mean in this particular scenario. (b) Translate your description into math symbols by filling in the blanks below: P( — -1 2. The average smoker smokes 31 cigarettes per day. A researcher believes that her smoking patients smoke fewer cigarettes than that. She selects a random sample of 35 smokers and finds that the mean number of cigarettes smoked per day was 28 with a standard deviation of 2.7. At a=0.05, is there sufficient evidence to support her belief? (a) State the null and alternative hypotheses. Use StatCrunch to obtain the P-value. Round to four decimal places. (b) State your decision (with the appropriate reasoning), and write a thorough conclusion. 1. Suppose that you want to test Ho: = 84 agains H₁: < 84. You collect a sample that has a sample mean of F = 76. You run the appropriate hypothesis test and get a P-value of 0.0213. (a) Describe (in words) what this P-value means. I'm not asking if you would reject or fail to reject Ho. I'm asking you to think about the definition of the P-value that we discussed in class and state in your own words what it would mean in this particular scenario. (b) Translate your description into math symbols by filling in the blanks below: P( — -1 2. The average smoker smokes 31 cigarettes per day. A researcher believes that her smoking patients smoke fewer cigarettes than that. She selects a random sample of 35 smokers and finds that the mean number of cigarettes smoked per day was 28 with a standard deviation of 2.7. At a=0.05, is there sufficient evidence to support her belief? (a) State the null and alternative hypotheses. Use StatCrunch to obtain the P-value. Round to four decimal places. (b) State your decision (with the appropriate reasoning), and write a thorough conclusion.