Mathematics, 25.04.2020 05:13 stephenandvicki
Each of the following situations describes a normally distributed population for which a statistical procedure should be used. Match each situation with the appropriate procedure to use.
a) Gale is obsessed with creating a reliable method of brewing the perfect cup of coffee. She wants to determine the likely range of weight of whole coffee beans from her trusty two-tablespoon scoop. She measures the weight of a sample of 15 scoops, finding that they average 17 g.
b) Tanya is studying IQ scores, which are normally distributed with a mean of 100. She believes that the mean IQ of classical musical composers is at least 112 and tests this belief with a random sample of 20 composers.
c) Jason wants to estimate what the balance of his retirement account will be in one month. All of the money in his account is allocated in an S&P 500 Index Fund. From 1950 to 2015, he calculates this index has had an average monthly return of 0.69% with a standard deviation of 4.15%.
Procedure:
1. one sample t-confidence interval for a mean
2. one sample z-test for a mean
3. one sample t-test for a mean
4. one sample z-confidence interval for a mean
Answers: 2
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