Let X and Y equal the concentration in parts per billion of chromium in the blood for healthy persons and for persons with a suspected disease, respectively. Assume that the distributions of X and Y are normal. A sample of 8 observations for X have a sample mean of 15.75 and a sample variance of 46.21. A sample of 10 observations of Y have a sample mean of 23.3 and a sample variance of 92.68. Find a 90% confidence interval for the ratio of variances, o²x/0² y. 0.197< σχ < 1.265

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Let X and Y equal the concentration in parts per billion of chromium in the blood for healthy persons
and for persons with a suspected disease, respectively. Assume that the distributions of X and Y are
normal. A sample of 8 observations for X have a sample mean of 15.75 and a sample variance of 46.21.
A sample of 10 observations of Y have a sample mean of 23.3 and a sample variance of 92.68. Find a
90% confidence interval for the ratio of variances, ² x /0² y.
O
0.197<
0.152 <
0.228 <
0 <
σχ
0² y
0² y
2 x
0² y
² x
0² y
<< 1.265
< 1.835
< 2.224
< 1.556
Transcribed Image Text:Let X and Y equal the concentration in parts per billion of chromium in the blood for healthy persons and for persons with a suspected disease, respectively. Assume that the distributions of X and Y are normal. A sample of 8 observations for X have a sample mean of 15.75 and a sample variance of 46.21. A sample of 10 observations of Y have a sample mean of 23.3 and a sample variance of 92.68. Find a 90% confidence interval for the ratio of variances, ² x /0² y. O 0.197< 0.152 < 0.228 < 0 < σχ 0² y 0² y 2 x 0² y ² x 0² y << 1.265 < 1.835 < 2.224 < 1.556
A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of
20.90 and a sample variance of 3.45. Assume the weights of wheels of cheese have a normal
distribution. Find a 90% confidence interval for the population standard deviation.
1.667 <o<2.771
1.334 <o< 3.178
1.002 <o< 4.808
1.430<o<3.370
Transcribed Image Text:A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance of 3.45. Assume the weights of wheels of cheese have a normal distribution. Find a 90% confidence interval for the population standard deviation. 1.667 <o<2.771 1.334 <o< 3.178 1.002 <o< 4.808 1.430<o<3.370
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