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MMLU / A farmer wants to know whether a new fertilizer has increased the mean weight of…

Problem

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question

A farmer wants to know whether a new fertilizer has increased the mean weight of his apples. With the old fertilizer, the mean weight was 4.0 ounces per apple. The farmer decides to test H0: μ = 4.0 ounces versus Ha : μ > 4.0 ounces, at a 5 percent level of significance, where μ = the mean weight of apples using the new fertilizer. The weights of apples are approximately normally distributed. The farmer takes a random sample of 16 apples and computes a mean of 4.3 ounces and a standard deviation of 0.6 ounces. Which of the following gives the p-value for this test?

choices

  1. P(Z > 2)
  2. P(Z < 2)
  3. P(t > 2) with 15 degrees of freedom
  4. P(t < 2) with 15 degrees of freedom

subject

high_school_statistics

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