Answer to Question #6467 in Statistics and Probability for carol
What is the Z critical value (Z cv ) using a 0.05 alpha level?
Should H0 be rejected? What should the researcher conclude?
Determine the 95 % confidence interval for the population mean, based on the sample mean.
we can use one-tailed z-test.
Z cv=1.645 (we take it from
normal distribution table for alpha=0.05)
Z<Z cv, so we can't reject Ho
and conclude that the observed data set provides no strong evidence against the
The 95% confidence interval based on the sample mean (now we
suppose that population mean is uknown with known standard deviation) is
m±Z*σ/sqrt(n), where Z*=Z cv for level alpha/2 (! because to get an interval we
need to use two-sided estimation). Z*=1.96 and 95% confidence interval is
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