Suppose a one sample t-test has a sample mean of 43.61, a sample standard deviation of 4.80, a sample of size 65, and a critical t* of 1.998. The upper endpoint (to one decimal point) of the confidence interval for the mean is 44.8.
True or FALSE
Solution :
Given that,
Point estimate = sample mean =
= 43.61
sample standard deviation = s = 4.80
sample size = n = 65
t/2,df
= 1.998
Margin of error = E = t/2,df
* (s /
n)
= 1.998 * ( 4.80 /
65)
Margin of error = E = 1.19
The upper confidence interval estimate of the population mean is,
+ E
= 43.61 + 1.19 = 44.8
True
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