Statistic for a sampling


Discuss the following:

Q1: What differentiates a z test statistic for a population from the z statistic for a sampling of means? Why the difference?

Q2: Consider a normal population with μ = 43 and σ = 5.2. Calculate the z-score for an x ¯ of 46.5 from a sample of size 16.

Q3: Find the critical value z a/2 that corresponds to the given confidence level. 88%
za/2=_____

Q4: Assume that a random sample is used to estimate a population p. Find the margin of error E that corresponds to the given statistics and confidence level. N=550, x=220, 90% confidence.

The margin of error

Q5: Calculate the margin of error E=Za/2•o/√n

The confidence level is 99%, the sample size is n=103, and o=16

Salaries of 47 college graduates who took a statistics course in college have a mean, x ¯ of $65,000. Assuming a standard deviation o of $16,817, construct a 99% confidence interval for estimating the population mean µ.

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Basic Statistics: Statistic for a sampling
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