In each of the following settings, decide whether you should use two-sample z procedures for a difference in proportions, two- sample t procedures for a difference in means, or paired t procedures for a mean difference. (a) A city planner is comparing traffic patterns at two different intersections. He randomly selects 12 times between 6:00 a.m. and 10:00 p.m., and he and his assistant count the number of cars passing through each intersection during the 10- minute interval that begins at that time. Two-sample z test for på – P2 Two-sample t test for µ1 – 42 Two-sample t test for x1 x2 Paired t test for µaiff (b) How much greater is the proportion of senior citizens who attend a play at least once per year than the proportion of 20- somethings who do so? Random samples of 100 senior citizens and 100 people in their 20s were surveyed. Two-sample z test for på – P2 Two-sample t test for x1 - x2 Two-sample t test for på – p2 Two-sample t test for µ1 – 42 (c) Luke's taco shop is considering a switch to a new tortilla that supposedly has a larger diameter. To test this claim, Luke takes a random sample of 50 of the old tortillas and 50 of the new tortillas and records the diameter of each. O Two-sample t test for x1 – x2 Two-sample z test for på – P2 Two-sample t test for µj – 42 Paired t test for µaiff

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In each of the following settings, decide whether you should use two-sample z procedures for a difference in proportions, two-
sample t procedures for a difference in means, or paired t procedures for a mean difference.
(a) A city planner is comparing traffic patterns at two different intersections. He randomly selects 12 times between 6:00
a.m. and 10:00 p.m., and he and his assistant count the number of cars passing through each intersection during the 10-
minute interval that begins at that time.
O Two-sample z test for p1 – P2
O Two-sample t test for µ – H2
Two-sample t test for x1 – x2
Paired t test for µdiff
(b) How much greater is the proportion of senior citizens who attend a play at least once per year than the proportion of 20-
somethings who do so? Random samples of 100 senior citizens and 100 people in their 20s were surveyed.
Two-sample z test for p – P2
O Two-sample t test for x1
X2
O Two-sample t test for p1 – P2
O Two-sample t test for µ – µ2
(c) Luke's taco shop is considering a switch to a new tortilla that supposedly has a larger diameter. To test this claim, Luke
takes a random sample of 50 of the old tortillas and 50 of the new tortillas and records the diameter of each.
Two-sample t test for x1
O Two-sample z test for p1 – P2
X2
O Two-sample t test for µ1 – H2
Paired t test for µaiff
Transcribed Image Text:In each of the following settings, decide whether you should use two-sample z procedures for a difference in proportions, two- sample t procedures for a difference in means, or paired t procedures for a mean difference. (a) A city planner is comparing traffic patterns at two different intersections. He randomly selects 12 times between 6:00 a.m. and 10:00 p.m., and he and his assistant count the number of cars passing through each intersection during the 10- minute interval that begins at that time. O Two-sample z test for p1 – P2 O Two-sample t test for µ – H2 Two-sample t test for x1 – x2 Paired t test for µdiff (b) How much greater is the proportion of senior citizens who attend a play at least once per year than the proportion of 20- somethings who do so? Random samples of 100 senior citizens and 100 people in their 20s were surveyed. Two-sample z test for p – P2 O Two-sample t test for x1 X2 O Two-sample t test for p1 – P2 O Two-sample t test for µ – µ2 (c) Luke's taco shop is considering a switch to a new tortilla that supposedly has a larger diameter. To test this claim, Luke takes a random sample of 50 of the old tortillas and 50 of the new tortillas and records the diameter of each. Two-sample t test for x1 O Two-sample z test for p1 – P2 X2 O Two-sample t test for µ1 – H2 Paired t test for µaiff
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