Answer: Correct critical value = 2.2622
Step-by-step explanation:
Confidence interval for population mean when population standard deviation is unknown:
, where
= sample mean, n= sample size, s= sample standard deviation,
= two-tailed t value.
As per given: n= 10
degree of freedom : df = n-1=9

Critical t-value : 
So, the 95 percent confidence interval estimate for the mean :

The 95 percent confidence interval estimate for the mean:(190.14, 295.06)
The thirty-second term is 143
Further explanation:
As it is already given that the given sequence is an arithmetic sequence
We have to find the common difference first
So,


The common difference is 5.
And first term is -12
The explicit formula for arithmetic sequence is:

Putting the values in the formula

Putting n=32 in explicit formula

The thirty-second term is 143
Keywords: Common difference, Arithmetic Sequence
Learn more about arithmetic sequence at:
#LearnwithBrainly
It would be 11.21 percent, hope it helps.