Assume that a sample is used to estimate a population mean μμ. Find the 99% confidence interval for a sample of size 42 with a mean of 30.8 and a standard deviation of 11.7. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). 99% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population
99% C.I. =
Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Critical value:
From the given information, the sample size (n) is 42.
The degrees of freedom is = n -1
= 42 -1
= 41
The level of significance is 0.01.
From the t-distribution table, the degree of freedom 41 at the level of significance 0.01 critical value t* is 2.701.
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