Question 1 Chief of Police Mark Shields wants to determine whether there is a difference in the mean number of crimes committed among three islands from the Turks and Caicos Islands. He recorded the number of crimes reported on each chosen island for a sample of six months. Number of Crimes Grand Turk Providenciales South Caicos 23 17 18 24 18 29 19 24 14 26 20 16 22 22 24 21 18 16 (i). Computing SST, SSE, and SS total. (ii). Calculate the between - sample (MST) and the within - sample (MSE) variances. (iii). Calculate the value of the test statistic F.
Question 1 Chief of Police Mark Shields wants to determine whether there is a difference in the mean number of crimes committed among three islands from the Turks and Caicos Islands. He recorded the number of crimes reported on each chosen island for a sample of six months. Number of Crimes Grand Turk Providenciales South Caicos 23 17 18 24 18 29 19 24 14 26 20 16 22 22 24 21 18 16 (i). Computing SST, SSE, and SS total. (ii). Calculate the between - sample (MST) and the within - sample (MSE) variances. (iii). Calculate the value of the test statistic F.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 22PFA
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Question 1
Chief of Police Mark Shields wants to determine whether there is a difference in the mean number of crimes
committed among three islands from the Turks and Caicos Islands. He recorded the number of crimes reported
on each chosen island for a sample of six months.
Number of Crimes
Grand Turk
Providenciales
South Caicos
23
17
18
24
18
29
19
24
14
26
20
16
22
22
24
21
18
16
(i). Computing SST, SSE, and SS total.
(ii). Calculate the between - sample (MST) and the within - sample (MSE) variances.
(iii). Calculate the value of the test statistic F.
(iv). Find the critical value of F at a 2.5% significance level.
(v). State the null and alternative hypotheses
(vi). What is the conclusion that should be drawn about the hypotheses?
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