Hypotheses for a Test of a Mean
A quality control engineer wants to determine if the true mean weight of cereal boxes differs from the target weight of 368 grams. A random sample of 30 boxes is selected, resulting in a sample mean of 365.2 grams and a sample standard deviation of 4.8 grams. Which of the following represents the appropriate null and alternative hypotheses for a significance test?
A
H₀: μ = 365.2, Ha: μ ≠ 368
B
H₀: μ ≠ 368, Ha: μ = 368
C
H₀: μ = 368, Ha: μ ≠ 368
D
H₀: μ = 368, Ha: μ < 368
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