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Do Homework-Brooke Allen-Google Chrome Secure https //www.mathal.com/Student/playerHomewor Phomeworkld 449511082&question;!d MATH 2300-010 Fall 2017 Brooke Alen Homework: Chapter 6 Homework Score: 0 of 1 pt 6.2.81 21 of29(24 complete) HW Score: 68.3 Determine the two z-scores that divide the area under the standard normal curve into a middle 0.1 area and two outside 0.45 areas Click here to view page 1 The Z-scores are (Use a comma to separate answers as needed Round to two decimal places as needed) Enter your answer in the answer box and then click Check Answer All parts showing Clear AlExplanation / Answer
(a) Let's calculate z such that area from P(Z=0) to P(Z1) is .05 and similarly, area from P(z=0) to P(-z1) is also .05. Clearly,now the other area is .9 , as area between -z1 to z1 is .1.From, z-table, we find out that such value of z1 is .13 and hence, z-value are .13 and -.13.
(b) mean is 17.92 and standard deviation is 1.86. Now, z-value corresponding to 16 and 17 is ( 16-17.92)/1.86 and (17-17.92)/1.86 ie -1.03 and -.49.. Now, lets calculate the p-value corresponding to these values, basically probability corresponding to P(-.49) - P(-1.03) will give us the required answer= .3121-.1515=.1606, so 16.06% of tarantual will lie between 16 and 17
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