A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122.5 grams per apple. Is there sufficient evidence to reject the company’s claim? (use α = 0.05) (Null and Alternate Hypothesis, Rejection Region) A. Ho: µ = 120; Ha: µ < 120; Rejection Region: z < -1.64 B. Ho: µ = 120; Ha: µ < 120; Rejection Region: t < -1.80 C. Ho: µ = 120; Ha: µ > 120; Rejection Region: z > 1.64 D. Ho: µ = 120; Ha: µ ≠ 120; Rejection Region: z < -1.96 or z > 1.96 E. Ho: µ = 120; Ha: µ ≠ 120; Rejection Region: t < -2.20 or t > 2.20 : (Test Statistic) A. t = 0.03 B. z = 1.46 C. z = 0.03 D. z = 0.55 E. t = 1.46 (p-value and conclusion) A. p = 1.856; FRHo (No sufficient evidence to reject the claim) B. p = 0.144; RHo (Sufficient evidence exists to reject the claim) C. p = 0.928; FRHo (No sufficient evidence to reject the claim) D. p = 1.856; RHo (Sufficient evidence exists to reject the claim) E. p = 0.144; FRHo (No sufficient evidence to reject the claim)
A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122.5 grams per apple. Is there sufficient evidence to reject the company’s claim? (use α = 0.05)
(Null and Alternate Hypothesis, Rejection Region)
A. Ho: µ = 120; Ha: µ < 120; Rejection Region: z < -1.64
B. Ho: µ = 120; Ha: µ < 120; Rejection Region: t < -1.80
C. Ho: µ = 120; Ha: µ > 120; Rejection Region: z > 1.64
D. Ho: µ = 120; Ha: µ ≠ 120; Rejection Region: z < -1.96 or z > 1.96
E. Ho: µ = 120; Ha: µ ≠ 120; Rejection Region: t < -2.20 or t > 2.20
: (Test Statistic)
A. t = 0.03
B. z = 1.46
C. z = 0.03
D. z = 0.55
E. t = 1.46
(p-value and conclusion)
A. p = 1.856; FRHo (No sufficient evidence to reject the claim)
B. p = 0.144; RHo (Sufficient evidence exists to reject the claim)
C. p = 0.928; FRHo (No sufficient evidence to reject the claim)
D. p = 1.856; RHo (Sufficient evidence exists to reject the claim)
E. p = 0.144; FRHo (No sufficient evidence to reject the claim)
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