QUESTION 2 a) Measurements of the length of a random sample of 200 rods made by a certain machine during one week showed a mean of 0.824m and a standard deviation of 0.042m. Find a 95% confidence interval for the mean length of all the rods. b) Suppose that the diameters of 100 balls in a sports hall represent a random sample of the diameters of all 1546 in the sports hall. Using the table given, determine unbiased and efficient estimates of: i. the true mean. ii. the true variance. Diameters of 100 Balls in the Sports Hall Diameter Number of (inches) Balls 60-62 5 63-65 18

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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QUESTION 2
a) Measurements of the length of a random sample of 200 rods made by a certain machine
during one week showed a mean of 0.824m and a standard deviation of 0.042m. Find a
95% confidence interval for the mean length of all the rods.
b) Suppose that the diameters of 100 balls in a sports hall represent a random sample of the
diameters of all 1546 in the sports hall. Using the table given, determine unbiased and
efficient estimates of:
i. the true mean.
ii.
the true variance.
Diameters of 100 Balls in the Sports Hall
Diameter
Number of
(inches)
Balls
60-62
5
63-65
18
66-68
42
69-71
27
72-74
8
Total = 100
Transcribed Image Text:QUESTION 2 a) Measurements of the length of a random sample of 200 rods made by a certain machine during one week showed a mean of 0.824m and a standard deviation of 0.042m. Find a 95% confidence interval for the mean length of all the rods. b) Suppose that the diameters of 100 balls in a sports hall represent a random sample of the diameters of all 1546 in the sports hall. Using the table given, determine unbiased and efficient estimates of: i. the true mean. ii. the true variance. Diameters of 100 Balls in the Sports Hall Diameter Number of (inches) Balls 60-62 5 63-65 18 66-68 42 69-71 27 72-74 8 Total = 100
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