8. Suppose you are conducting a test of significance about the weight of Snicker

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8. Suppose you are conducting a test of significance about the weight of Snickers candy bars. Your hypotheses are Ho: The mean weight, , of all Snickers candy bars is 57 grams. Ha: The mean weight of all Snickers candy bars is more than 57 grams. You take a random sample of n 20 Snickers bars and find a sample mean of x 57.4 grams and a sample standard deviation of 0.75 grams. You then calculate a p-value of 0.0138 using a one sample t-test. Which of the following statements provides the best interpretation of this p-value? Select one: The probability that a Snickers candy bar weighs more than 57 grams is 0.0138. If the mean weight, u, of all Snickers candy bars is 57 grams, the probability that a random sample of 20 Snickers candy bars would have an average The probability that the mean weight of all Snickers candy bars is more than 57 grams is 0.0138. weight of at least 574 grams is 0.0138 O O If the mean weight of all Snickers candy bars is more than 57 grams, the probability that a random sample of 20 Snickers candy bars would have an average weight of at least 57.4 grams is 0.0138. 9. Researchers chose a simple random sample of 100 adults in the U.S in order to determine if there was an association between family income level and the number of recycling containers filled in a typical week. The p-value was small and so the researchers concluded that there was a positive correlation between these variables. Which of the following is an appropriate conclusion to draw from this result? Select one: The sample size is too small to apply these results beyond the 100 adults in this sample. Earning more money influences American adults to recycle more than they would if they carn less money U.S. adults tend to recycle more when their income is large, but we do not know why because the design of this study does not allow us to infer causation None of the above statements is true. O 10. A research study randomly divided participants into groups who were given different levels of vitamin E (including one group that was given a placebo). The researchers then followed the participants for 8 years to see how many subjects developed a particular type of cancer during those 8 years. Which of the following gives the best explanation of the purpose of using randomization in this study? Select one: o to increase the accuracy of the research results to produce treatment groups with similar characteristics to ensure that all potential cancer patients had an equal chance of being selected for the study to reduce the amount of sampling error None of the above. O

Explanation / Answer

8)
The probability that the a random sample of 20 snickers candy bars would have an average weight of at least 57. grams is 0.0138

Option B is correct

9)
As per the hypothesis there is positive correlation between income level and the number of recycling containers.

Hence option C

10)
purpose of the study is to to ensure that all potential cancer patients had an equal chance of being selected for the study

Option C is correct

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