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1. A psychologist would like to estimate the average IQ of Canadians. (IQ scores are known...

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Statistics

1. A psychologist would like to estimate the average IQ ofCanadians. (IQ scores are known to follow a normal distributionwith standard deviation 15.) She takes a sample of 49 Canadians andmeasures a sample mean IQ of 107.34 and a sample standard deviationof 17.36.

(a) Use the information above to calculate a 92% confidenceinterval to estimate the average IQ of Canadians.

(b) Interpret the confidence interval obtained in part (a).

(c) Suppose the researcher also wishes to test thehypotheses
H0 :?=103 vs. ??=103

at the 0.08 significance level. Is this possible to do with theconfidence interval calculated in part (a)? If so, what is thecorrect conclusion? If not, why not?

(d) Suppose the researcher also wishes to test thehypotheses
H0 :?=105 vs. ?>105

at the 0.08 significance level. Is this possible to do with theconfidence interval calculated in part (a)? If so, what is thecorrect conclusion? If not, why not?

Answer & Explanation Solved by verified expert
3.7 Ratings (382 Votes)
a population std dev 15 which is known hence we perform one sample Ztest OneSample Z Descriptive Statistics N Mean SE Mean 92 CI for 49 10734 214 103589 111091 mean of Sample Known standard deviation 15 b    See Answer
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