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Based on all student records at Camford University, students spend an average of 5.5 hours per week playing organized sports.
C. Calculate the probability that the sample mean will be between 5.3 and 5.7 hours. (Round z value to 2 decimal places. Roun
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18 Ans Standard error of the sample mean (F) SE(n)= T = Population standard deviation sample size Here = 2.2 , n=121 Standard(i) Case (i) Take 7 = 5.3 , n is Sample mean z = n = 5.3-5.5 TNn 2.2 1121 -0.2x11 2.2 -1. Z = 1 For fort with the help of Z-tTo Let @ = 0.1587 (ii) Cire (ii) Take u = 5.7 = t - M - 5.7-5.5 = 0.2 XN121 on 2.2/121 (2.2) z = +1 From the Z-table below, t. The area to the left of X= 5.3 is 0.1587 The area to the left of x = 5.7 is 0.8413. The shaded region represents this area

Number in the table represents PIZSz) 1 0.00 0.01 0.02 0.03 0.04 0.05 0.06 007 0.08 0.09 -3.6 | .0002 .0002 .0001 .0001 .0001

Number in the table represents PIZsz) 0 Z 0.3 0.4 0.6 0.9 1.0 .9265 1.5 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 .50

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