Question

Suppose a random sample of 84 men has a mean foot length of 26.9 cm with a standard deviation of 2.1 cm. What is an 95% confidence interval for this data?

Question 3 options:

24.905 to 28.895


24.8 to 29


22.784 to 31.016


21.52 to 32.28

Answer 1

I do belive that it is 22.905 to 28.895

Answer 2

Number of People Selected for this Hypothesis = 84

Mean =M = 26.9 cm

Standard Deviation = S= 2.1 cm

`Z_(Score)=(X_(score)-M)/(S)`

`Z=(84-26.9)/(2.1)\\\\ Z=(57.1)/(2.1)\\\\ Z=27.190`

`Z_(95 percent)=1.96`

Confidence Interval for this Data will be

27.190 -1.96 ≤ Z ≤ 27.190 +1.96

25.230 ≤ Z ≤ 29.15

Option C: 22.784 to 31.016.