50 points Stat. 2023 Assessment Name 1. The process of using sample to draw conc

Question

50 points Stat. 2023 Assessment Name 1. The process of using sample to draw conclusions about the true population parameter is called: a) Statistical inference b) Descriptive statistics c) Sampling d) The scientific method 2. The width of a confidence interval estimate for a proportion will be A. wider for 99% confidence than 90% confidence. B. Wider for a sample size of 50 than for a sample size of 100. C. Narrower for 95% confidence than 90% confidence. D. Narrower when the sample proportion is 0.50 than when the sample proportion is 0.20. 3. In constructing of confidence interval, if all other quantities are unchanged, a decrease in the sample size will lead to a in are _ to A, Narrow B. Wider. C. Less significant. D. Biased. A. Narrower. 4. If you were constructing a 95% confidence interval of the population mean based on a sample of n = 25 where the standard deviation is s = 0.05, the ..T" value from the table is: A. 2.797 B. 2.787 C. 2.58 D. 1.96 E. None of the above

Explanation / Answer

(1)

The process of using a sample to draw conclusions about the true population parameter is termed as statistical inference, and it comes under the category of inferential statistics.

(2)

The width of a confidence interval is wider for 99% as compated to 95%, and is wider for sample size of 50 as compared to increases.

This is because margin of error is directly proportional to confidence level, and inversely related to sample size.

(3)

Decreasing sample size will produce a wider confidence interval, this is because width of confidence interval is inversely proportional to square root of sample size.

(4)

Sample size, n = 25

So, degrees of freedom, df = n-1 = 24

So, the critical t-value for 24 degrees of freedom with probability level of 0.05, for a two tailed test is 2.06

Hence the correct answer is none of these.

Hope this helps !

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