Explanation Given info: Assume σ 1 2 = σ 2 2 , x ¯ 1 = 1984.8 , x ¯ 2 = 1983.4 , s 1 = 8.6 , s 2 = 8.4 , α = 0.05 , n 1 = 7 , 133 , and n 2 = 4 , 726 . Calculation: The hypotheses are given below: Null hypothesis: H 0 : μ 1 = μ 2 Alternative hypothesis: H a : μ 1 ≠ μ 2 Test statistic: Software Procedure: Step by step procedure to obtain test statistic using the MINITAB software: Choose Stat > Basic Statistics > 2-Sample t . Choose Summarized data . In first, enter Sample size as 7,133 , Mean as 1,984.8 , Standard deviation as 8.6 . In second, enter Sample size as 4,726 , Mean as 1,983.4 , Standard deviation as 8.4 . Choose Options . In Confidence level , enter 95 . In Alternative , select not equal . Check Assume equal variances . Click OK in all the dialogue boxes. Output using the MINITAB software is given below: From the MINITAB output, the test statistic is 8.76. Critical value: Here, variances are equal

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Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

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Chapter 8, Problem 4T

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To test: Whether there is a difference in the mint dates found on a street from 1985 through 1996 for the two mint locations or not.

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To test: Whether there is a difference in the mint dates found on a street from 1985 through 1996 for the two mint locations or not.

Solution Summary: The author concludes that there is a difference in the mint dates found on the street from 1985 through 1996.

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To test: Whether there is a difference in the mint dates found on a street from 1985 through 1996 for the two mint locations or not.

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