Þeninsular Malaysia is divided into four main regions. The regions and their states are: i. Northern Region: Perlis, Kedah, Penang, Perak ii. East Coast Region: Kelantan, Terengganu, Pahang, iii. Central Region: Selangor, federal territories of Kuala Lumpur and Putrajaya iv. Southern Region: Negeri Sembilan, Malacca, Johor James would like to compare difference between regions on the positive cases. He gathered the data for positive COVID-19 cases in Malaysia on 12 December 2021 and the data are presented below. Assume that the data are independent samples and follows normal distribution. State Number of positive cases Johor 322 Kedah 169 Kelantan 329 Melaka 150 Negeri Sembilan 149 Pahang 301 Perak 241 Perlis 7 Pulau Pinang 243 Selangor 954 Terengganu 144 W.P. Kuala Lumpur 194 W.P. Putrajaya 15 a) What test is appropriate to be used in this question? State why. b) At 10% significance level, does there appear to be a difference in the average number of positive cases by central and northern region in Malaysia? c) At 5% significance level, does there appear that the east coast region cases is lower than southern region positive cases?
Þeninsular Malaysia is divided into four main regions. The regions and their states are: i. Northern Region: Perlis, Kedah, Penang, Perak ii. East Coast Region: Kelantan, Terengganu, Pahang, iii. Central Region: Selangor, federal territories of Kuala Lumpur and Putrajaya iv. Southern Region: Negeri Sembilan, Malacca, Johor James would like to compare difference between regions on the positive cases. He gathered the data for positive COVID-19 cases in Malaysia on 12 December 2021 and the data are presented below. Assume that the data are independent samples and follows normal distribution. State Number of positive cases Johor 322 Kedah 169 Kelantan 329 Melaka 150 Negeri Sembilan 149 Pahang 301 Perak 241 Perlis 7 Pulau Pinang 243 Selangor 954 Terengganu 144 W.P. Kuala Lumpur 194 W.P. Putrajaya 15 a) What test is appropriate to be used in this question? State why. b) At 10% significance level, does there appear to be a difference in the average number of positive cases by central and northern region in Malaysia? c) At 5% significance level, does there appear that the east coast region cases is lower than southern region positive cases?
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Question
![Peninsular Malaysia is divided into four main regions. The regions and their states are:
i. Northern Region: Perlis, Kedah, Penang, Perak
ii. East Coast Region: Kelantan, Terengganu, Pahang,
iii. Central Region: Selangor, federal territories of Kuala Lumpur and Putrajaya
iv. Southern Region: Negeri Sembilan, Malacca, Johor
James would like to compare difference between regions on the positive cases. He gathered the data for
positive COVID-19 cases in Malaysia on 12 December 2021 and the data are presented below. Assume that the
data are independent samples and follows normal distribution.
State
Number of positive cases
Johor
322
Kedah
169
Kelantan
329
Melaka
150
Negeri Sembilan
149
Pahang
301
Perak
241
Perlis
7
Pulau Pinang
243
Selangor
954
Terengganu
144
W.P. Kuala Lumpur
194
W.P. Putrajaya
15
a) What test is appropriate to be used in this question? State why.
b) At 10% significance level, does there appear to be a difference in the average number of positive cases by
central and northern region in Malaysia?
c) At 5% significance level, does there appear that the east coast region cases is lower than southern region
positive cases?
d) Find the 99% confidence interval of the difference in means.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa467ed45-3769-4a20-811d-1bd91a38f310%2F79c4cee7-701f-402f-b9c1-75a65085d22d%2Ftzucgg_processed.png&w=3840&q=75)
Transcribed Image Text:Peninsular Malaysia is divided into four main regions. The regions and their states are:
i. Northern Region: Perlis, Kedah, Penang, Perak
ii. East Coast Region: Kelantan, Terengganu, Pahang,
iii. Central Region: Selangor, federal territories of Kuala Lumpur and Putrajaya
iv. Southern Region: Negeri Sembilan, Malacca, Johor
James would like to compare difference between regions on the positive cases. He gathered the data for
positive COVID-19 cases in Malaysia on 12 December 2021 and the data are presented below. Assume that the
data are independent samples and follows normal distribution.
State
Number of positive cases
Johor
322
Kedah
169
Kelantan
329
Melaka
150
Negeri Sembilan
149
Pahang
301
Perak
241
Perlis
7
Pulau Pinang
243
Selangor
954
Terengganu
144
W.P. Kuala Lumpur
194
W.P. Putrajaya
15
a) What test is appropriate to be used in this question? State why.
b) At 10% significance level, does there appear to be a difference in the average number of positive cases by
central and northern region in Malaysia?
c) At 5% significance level, does there appear that the east coast region cases is lower than southern region
positive cases?
d) Find the 99% confidence interval of the difference in means.
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