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)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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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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