## A random sample is selected from a normally distributed population. The following sample statistics are obtained: n = 20, = 30, and s = 10.

Question

A random sample is selected from a normally distributed population. The following sample statistics are obtained: n = 20, = 30, and s = 10. Based on this information, and using a 95% confidence level, which of the following statements is true? a. The margin of error is approximately 4.68. b. The margin of error is approximately 3.24. c. The standard deviation of the sampling distribution of is .50. d. The critical value is 1.96. e. The critical value is 1.7921.

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2021-10-10T00:22:31+00:00
2021-10-10T00:22:31+00:00 1 Answer
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## Answers ( )

Answer:b) The margin of error is approximately 3.24

e) The critical value is 1.7921.

Step-by-step explanation:Step(i):-Given sample size ‘n’ =20Given sample standard deviation ‘s’ = 10Margin of errorThe margin of error is determined byThe level of significance ∝ =0.95The degrees of freedom = n-1 = 20-1=19t₀.₉₅ = 1.729

Margin of error = 3.866

Step(ii):-

Margin of errorThe margin of error is determined byGiven another sample size n =30The level of significance ∝ =0.95The degrees of freedom = n-1 = 30-1=29t₀.₉₅ = 1.70

Margin of error = 3.24