Q.1.1.1 Calculate the standard deviation of the difference between the mean opinion scores of gas ovens and electric ovens.   Q.1.1.2 The analyst concluded that there was 50% probability that the sample mean of opinion scores of gas ovens is smaller than that of electric ovens. He used z-transformations and got z = -3.9. Calculate the z value using information in the table to check if the value of -3.9 used by the analyst was correct.

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Q.1.1

Consumer testing services compared public opinion on gas ovens and electric ovens. They asked participants to rate their opinions using a scale from 1 to 10. A random sample of 220 households were interviewed. The descriptive statistics are as follows:

Mean
Standard deviation Sample size respectively

Gas Ovens

mean7.45

standars deviation3.32

sample size220

Electric Ovens

mean8.85

standard deviation4.14

sample size220

Q.1.1.1

Calculate the standard deviation of the difference between the mean opinion scores of gas ovens and electric ovens.

 

Q.1.1.2

The analyst concluded that there was 50% probability that the sample mean of opinion scores of gas ovens is smaller than that of electric ovens. He used z-transformations and got z = -3.9.

Calculate the z value using information in the table to check if the value of -3.9 used by the analyst was correct.

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