Question

Suppose a chef claims that her meatball weight is not equal to 4 ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a 10% significance level, to persuade them. She cooks 13 meatballs. The mean weight of the sample meatballs is 3.9 ounces. The chef knows from experience that the standard deviation for her meatball weight is 0.6 ounces.

  • H0: μ=4; Ha: μ≠4
  • α=0.1 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Ans: -0.60

Question

Jolyn, a golfer, claims that her drive distance is not equal to 222 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She hits 11 drives. The mean distance of the sample drives is 218 meters. Jolyn knows from experience that the standard deviation for her drive distance is 14 meters.

  • H0: μ=222; Ha: μ≠222
  • α=0.05 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? Ans;__________

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