What does 24 + (-13)
1 answer:
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Answer:
B) 1.622 to 1.778 includes the mean of the population beta.
Step-by-step explanation:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.9842
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.7 - 0.078 = 1.622.
The upper end of the interval is the sample mean added to M. So it is 1.7 + 0.078 = 1.778.
Thus the correct answer is given by option B.