12. 1/4 points| Previous Answers My Notes A study of 28 female Sumatran elephant
ID: 3063734 • Letter: 1
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12. 1/4 points| Previous Answers My Notes A study of 28 female Sumatran elephants provided a 96% confidence t-interval for the mean shoulder height of all female Sumatran elephants as (197.2, 235.4) cm. (a) The margin of error is m = 19.10 Cm (b) The critical value t* found from Table C to calculate this confidence interval is t1.703(Round to 3 decimal places.) (c) The standard error of the sample mean is SE(x)-| 11 21 | cm (Round to 2 decimal places.) (d) The sample standard deviation is s :: 11121 x cm (Round to 2 decimal places.) Submit Answer Save ProgressExplanation / Answer
Ans:
Given that
t interval=(197.2, 235.4)
a)Margin of error=(235.4-197.2)/2=19.10
b)n=28
df=28-1=27
confidence level=0.96
critical t value=tinv(0.04,27)=2.158
c)standard error of sample means=s/sqrt(n)=19.1/2.158=8.85
d)sample standard deviation=8.85*sqrt(28)=46.83
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