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lexie7752
27.01.2020 •
Mathematics
The following information is obtained from two independent samples selected from two normally distributed populations.
n1 = 18 x1 = 7.82 σ1 = 2.35
n2 =15 x2 =5.99 σ2 =3.17
a. what is the point estimate of μ1 − μ2? round to two decimal places.
b. construct a 99% confidence interval for μ1 − μ2. find the margin of error for this estimate.
round to two decimal places.
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Ответ:
A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:
μ1 − μ2 = x1 – x2 = 7.82 – 5.99
μ1 − μ2 = 1.83
B. The formula for confidence interval is given as:
Confidence interval = (x1 –x2) ± z σ
where z is a value taken from the standard distribution tables at 99% confidence interval, z = 2.58
and σ is calculated using the formula:
σ = sqrt [(σ1^2 / n1) + (σ2^2 / n2)]
σ = sqrt [(2.35^2 / 18) + (3.17^2 / 15)]
σ = 0.988297
Going back to the confidence interval:
Confidence interval = 1.83 ± (2.58) (0.988297)
Confidence interval = 1.83 ± 2.55
Confidence interval = -0.72, 4.38
Ответ:
I think it is:
2×10=20, 20/10=2 , 20/10=2
8×7=56, 56/7=8, 56/8=7
7×9=63, 63/7=9, 63/9=7