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12. 1/4 points| Previous Answers My Notes A study of 28 female Sumatran elephant

ID: 3063734 • Letter: 1

Question

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 Progress

Explanation / 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