3) = 92.7
S = 4.5228
At 90% confidence interval the critical value is t* = 1.833
The 90% Confidence interval for population mean is
+/- t* * s/
= 92.7 +/- 1.833 * 4.5228/
= 92.7 +/- 2.6216
= 90.0784, 95.3216
4) = 98/500 = 0.196
At 98% Confidence interval the critical value is z* = 2.33
The 98% Confidence interval for population proportion is
+/- z* * sqrt((1 - )/n)
= 0.196 +/- 2.33 * sqrt(0.196 * (1 - 0.196)/500)
= 0.196 +/- 0.041
= 0.155, 0.237
5) Margin of error = 5
Or, z0. 05 * = 5
Or, 1.645 * 32/ = 5
Or, n = (1.645 * 32/5) ^2
Or, n = 111
6) = 42/60 = 0.7
Margin of error = 0.06
Or, z0.025 * sqrt((1 - )/n) = 0.06
Or, 1.96 * sqrt(0.7 * (1 - 0.7)/n) = 0.06
Or, n = (1.96 * sqrt(0.7 * 0.3)/0.06)^2
Or, n = 225
3 Construct a 90% confidence interval for the following random sample of Lucas Barrett's golf scores...
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