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

Answer:

Number of People Selected for this Hypothesis = 84

Mean =M = 26.9 cm

Standard Deviation = S= 2.1 cm

$Z_{Score}=\frac{X_{score}-M}{S}$

$Z=\frac{84-26.9}{2.1}\\\\ Z=\frac{57.1}{2.1}\\\\ Z=27.190$

$Z_{95 percent}=1.96$

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.

Answer 2

I do belive that it is 22.905 to 28.895