The makers of a soft drink want to identify the average age of its consumers. A sample of 55 consumers was taken. The average age in the sample was 21 years with a standard deviation of 4 years.
a.Construct a 95% confidence interval for the true average age of the consumers.b.Construct an 80% confidence interval for the true average age of the consumers.c.Discuss why the 95% and 80% confidence intervals are different.
What will be an ideal response?
?
| a. | 19.92 to 22.08 years (rounded) |
| b. | 20.30 to 21.70 years (rounded) |
| c. | As the level of confidence decreases, the confidence interval gets narrower. |
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