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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

Verified Answer :

jordenusrey1998

I do belive that it is 22.905 to 28.895

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.

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