Direction: Perform hypothesis testing. Show all the steps and solutions. Note: Excel / Stat computation (Output) is already provided to you. An economist believed that the weekly consumption of food purchased by families with 5 members from two cities, Manila and Makati are different. A random sample of 8 families were chosen from each city. The result are as follows Weekly food purchase in pesos 3240 2800 2675 2876 3250 3300 3500 Manila 2750 Makati 3500 3200 3945 2890 2780 3000 3540 2540 At 5% level, is the economist claim true? Assume the variance are equal. COMPUTER OUTPUT: t-Test: Two-Sample Assuming Equal Variances Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Manila 3048.875 94927.26786 8 154854.4821 0 14 -0.637840118 0.266935955 1.761310115 0.53387191 2.144786681 Makati 3174.375 214781.6964 8

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 1E
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Direction:
Perform hypothesis testing. Show all the steps and solutions.
Note: Excel / Stat computation (Output) is already provided to you.
An economist believed that the weekly consumption of food purchased by families with
5 members from two cities, Manila and Makati are different. A random sample of 8
families were chosen from each city. The result are as follows
Weekly food purchase in pesos
Manila 2750 3240
Makati 3500 3200 3945 2890 2780 3000 3540 2540
COMPUTER OUTPUT:
At 5% level, is the economist claim true? Assume the variance are equal.
t-Test: Two-Sample Assuming Equal Variances
Mean
Variance
Observations
df
Pooled Variance
Hypothesized Mean Difference
t Stat
2800 2675 2876 3250 3300 3500
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
Manila
3048.875
94927.26786
8
154854.4821
0
14
-0.637840118
0.266935955
1.761310115
0.53387191
2.144786681
Makati
3174.375
214781.6964
8
Transcribed Image Text:Direction: Perform hypothesis testing. Show all the steps and solutions. Note: Excel / Stat computation (Output) is already provided to you. An economist believed that the weekly consumption of food purchased by families with 5 members from two cities, Manila and Makati are different. A random sample of 8 families were chosen from each city. The result are as follows Weekly food purchase in pesos Manila 2750 3240 Makati 3500 3200 3945 2890 2780 3000 3540 2540 COMPUTER OUTPUT: At 5% level, is the economist claim true? Assume the variance are equal. t-Test: Two-Sample Assuming Equal Variances Mean Variance Observations df Pooled Variance Hypothesized Mean Difference t Stat 2800 2675 2876 3250 3300 3500 P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Manila 3048.875 94927.26786 8 154854.4821 0 14 -0.637840118 0.266935955 1.761310115 0.53387191 2.144786681 Makati 3174.375 214781.6964 8
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