Please help I have only got 1 mark for this question and I do not know why I also explained it but it said it was wrong please h
elp, thank you
1 answer:
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Answer:
The correct value is t* = 2.797.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a two-tailed confidence level of . So we have T = 2.797.
By definitions of the (co)tangent and cosecant function,
Turn everything into fractions with common denominators:
Recall that , so we can simplify both sides a bit.
On the left:
On the right:
(as long as , which happens in the interval
when
or
)
So we have