SELECT ALL APPLICABLE CHOICES A) z1.38 =-1.34 D) z=-1.36 =-1.30 F) z =-1.42 z=-1
ID: 3351135 • Letter: S
Question
SELECT ALL APPLICABLE CHOICES A) z1.38 =-1.34 D) z=-1.36 =-1.30 F) z =-1.42 z=-1.41 Suppose the area is known to be 0.084565, determine the corresponding z-score. G) None of These The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.42 inches and a standard deviation of 0.08 inchcs. Wha diameter greater than 0.37 inches? SELECT ALL APPLICABLE CHOICES A) B) t percentage of bolts will have a 0.65401 0.77151 0.71401 0.79401 E) 0.81401 0.73401 G) None of Thesc Assume that the weights of quarters are normally distributed with a mean of 5.67 g andA a standard deviation 0.07g. A vending machine will o and 5.82g What perc will be rejccted? SELECT ALL APPLICABLE CHOICES B) 1.938321 % nly accept coins weighing between 5.48g entage of legal quarters 0.2716544% 0.7716544% 4.104988% F None of These 3.104988%Explanation / Answer
25) Area to the left is know.
Then the corresponding z score shall be obtained from the standard normal distribution table
Z = -1.38 (optionA)
26) P(X < A) = P(Z < (A - mean)/ standard deviation)
P(X > 0.37) = 1 - P(X < 0.37)
= 1 - P(Z < (0.37-0.42)/0.08)
= 1 - P(Z < -0.625)
= 1 - 0.266
= 0.734 (option F)
Percentage of legal quarters rejected = P(X < 5.48) + P(X > 5.82)
= P(X < 5.48) + 1 - P(X < 5.82)
= P(Z < (5.48-5.67)/0.07) + 1 - P(Z < (5.82-5.67)/0.07)
= P(Z < -2.71) + 1 - P(Z < 2.14)
= 0.0033 + 1 - 0.9839
= 0.0194
= 1.94% (option A)
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