jwbri
21.12.2020 •
Mathematics
A random sample of 28 items is drawn from a population whose standard deviation is unknown. The sample mean is x=900 and the sample deviation is s = 10. Use appendix D to find the values of student's t. (a) Construct an interval estimate of u with 98% confidence. (Round your answers to 3 decimal places.)
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Ответ:
795.596≤u≤804.403
Step-by-step explanation:
Confidence interval is expressed using the formula;
CI = xbar ± (z*s/√n)
xbar is the sample mean
z is the z score at 98% confidence
s is the standard deviation
n is the sample size
Given
xbar = 800
z = 2.33
s = 10
n = 28
Substitute into the formula;
CI =800 ± (2.33*10/√28)
CI = 800 ± (2.33*10/5.2915)
Ci = 800± (2.33* 1.8898)
CI = 800 ± 4.4033
CI = (800-4.4033, 800 + 4.4033)
CI = (795.596, 804.403)
Hence an interval estimate of u with 98% confidence is expressed as
795.596≤u≤804.403
Ответ:
e
Step-by-step explanation: