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Use the given data to construct a confidence interval for the population standard deviation,A) SELECT A B) Assume that the population has a normal distribution: The football coach randomly selected the following players and timed how long each player took to perform a certain drill. The times (in minutes) were: 4.1048445 < ơ < 9.8431834 2.7048445 < ơ < 9.2431834 C) D) None of These 4.1048445 < σ < 8.0431834 14,4,5,8, 11,15,10 Find a 95.0 confidence interval for the population standard deviation ơ

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Answer #1

First we need to find the sample standard deviation. Following table shows the calculations:

(X-mean)A2 19.61249796 31.04049796 20.89769796 2.46929796 2.04089796 29.46969796 0.18369796 105.7142857 14 4 15 10 67 Total

So

sample size: n=7

Mean:

9.5714

SD:

ー(x_x). 4.197504928 rl

----------------------

Here we have 4.197504928, n 7 Degree of freedom: df-n-1 -6 Level of significance: =0.05 α Critical values: 1.2373442 X -14.4493753 The confidence interval for standard deviation is: (n-1)s* (n-1s 齈 2.7048445< σ 9.2431835 Excel function for critical value: -cHIINV((1-(0.05/2)),6) and =CHIINV(0.05/2),6) Hence, the required confidence interval is (2.7048445,9.2431835)

Correct option is B.

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