Problem 2. 14 points] lse -0.05 and answer the following. A scientist was trying

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Problem 2. 14 points] lse -0.05 and answer the following. A scientist was trying to show that the average yield of a chemical reaction exceeds 80% He collected data a run a one sample t-test. His P-Value was 0.012. Write down the conclusion: a) b) A regression analysis was carried out to study the relation between the amount of electricity consumed (Y) (in 1000 Kwh), the average temperature of the month (X1) (in degree Celsius) and the size of the house (X2) (in square meter). The equation found is Y= 22.1 + 4.5 X1+ 1.2 X2 Write down precisely the interpretation of the coefficient of X1. In the above regression model, the t-test for, has a p-value of 0.003. Write down the conclusion: c) A scientist wants to prove that mobile technology is more popular among young people tha among older people. He took two samples one with individuals below 35 years of age and t d) second sample with people older than 50. He run a Z-test for two proportion and found a value of 0.0001 Write down the conclusion:

Explanation / Answer

a) Since P values is less than 0.05, we conclude that there is sufficient evidence that average yield of chemical reaction exceeds 80%

b) For every unit increase in average temperature , amount of elasticity increased by 4500 Kwh

c) Since P values is less than 0.05, there is sufficient evidence that average temperature is significant in predicting the average elasticity.

d) Since P values is less than 0.05, there is sufficient evidence mobile technology is more popular among young people

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