9. Original Problem: A toy manufacturer wants to know how many new toys children buy each year. A sample of 179 children was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 6.1. Assume that the population standard deviation is 1.4. Round your answers to one decimal place. (a) In the Original Problem, if I change confidence level to 80% instead of 85%, keep- ing all other factors the same, the length of the Confidence Interval or MarginError in the Original Problem increases or decreases, remains the same (b) In the Original Problem, if I change n to 100 instead of 179, keeping all other fac- tors the same, the length of the Confidence Interval or MarginError in the Original Problem increases or decreases or remains the same? (c) In the Original Problem, if I change σ to 1 instead of 1.4, keeping all other factors the same, the length of the Confidence Interval or MarginError in the Original Problem increases or decreases, remains the same?
9. Original Problem: A toy manufacturer wants to know how many new toys children buy each year. A sample of 179 children was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 6.1. Assume that the population standard deviation is 1.4. Round your answers to one decimal place.
(a) In the Original Problem, if I change confidence level to 80% instead of 85%, keep- ing all other factors the same, the length of the Confidence Interval or MarginError in the Original Problem increases or decreases, remains the same
(b) In the Original Problem, if I change n to 100 instead of 179, keeping all other fac- tors the same, the length of the Confidence Interval or MarginError in the Original Problem increases or decreases or remains the same?
(c) In the Original Problem, if I change σ to 1 instead of 1.4, keeping all other factors the same, the length of the Confidence Interval or MarginError in the Original Problem increases or decreases, remains the same?
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