The minimum sample size required to estimate a population mean with 95% confidence with a margin of error of 1.5 is 197.
Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.
MOE = z x (SD / √n)
where MOE = margin of error
z = found by using a z-score table
SD = sample standard deviation
n = sample size
At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.
(100 - 95) / 2 = 2.5
100 - 2.5 = 97.5
Find 0.975 in the z-table to get the value of z.
At p = 0.975, z = 1.96
Plug in the values to the formula and solve for the sample size, n.
MOE = z x (SD / √n)
1.5 = 1.96 x (10.75/√n)
n = 197.3088444
n ≅ 197
Hence, the minimum sample size required to estimate a population mean with 95% confidence with a margin of error of 1.5 is 197.
Learn more about margin of error here: brainly.com/question/10218601
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