STAT 200 STAT200 Week 6 Homework
8.1.4 Suppose you compute a confidence interval with a sample size of 100. What will happen to the
confidence interval if the sample size decreases to 80?
Decreasing the sample size ca
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STAT 200 STAT200 Week 6 Homework
8.1.4 Suppose you compute a confidence interval with a sample size of 100. What will happen to the
confidence interval if the sample size decreases to 80?
Decreasing the sample size causes the error bound to increase, making the confidence interval wider.
8.2.6 In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism
Spectrum Disorder (ASD) ("Autism and developmental," 2008). Find the proportion of ASD in Arizona
with a confidence level of 99%.
X = 507
N = 32,601
(P+Z a/2 * sqrt p(1-p)/n)
p = x/n p = 507/32,601 p = .016
a/2 = 1-.99/s = .005
Z.005 = +2.58
(.016 + 2.58 * sqrt .016(1-.016) / 32,601) = (.016 + .002) = (.014, .018)
8.3.2 Many people feel that cereal is healthier alternative for children over glazed donuts.
Table #8.3.5 contains the amount of sugar in a sample of cereal that is geared towards
children ("Healthy breakfast story," 2013). Estimate the mean amount of sugar in children
cereal using a 95% confidence level.
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