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STAT 1060 Study Guide - Final Guide: Simple Random Sample, Litre, Confidence Interval

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brownduck408
9 Apr 2015
School
Dalhousie University
Department
Statistics
Course
STAT 1060
Professor
Bielewski

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Document Summary

Which of the following is not a reasonable condition for using the t- test for the mean? a. The sample gives x = 8 and s=4. The value of the t- statistic is: - 0. 5, - 10, - 2. 24, none of these, the appropriate test is the z- test. Assume that you have falsely rejected h0: =10. The degrees of freedom for this statistic is: 19, 20, 21, none of the above. What is the critical value tcrit for a hypothesis test having alpha = 0. 01: 2. 528, 2. 539, 2. 845, 2. 861. Regarding question 9 above, what happens to the critical value if = 0. 05 instead of. You have a random sample of n=22 from a normally distributed population. Questions 22 to 26 are based on the following study: environmental science & Technology (oct. 1993) reported on a study of contaminated soil in the netherlands. Seventy- two (n=72) 400- gram soil specimens were sampled, dried, and analyzed for the contaminant cyanide.

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Introductory Statistics
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Related Questions

Which of the following is not appropriate to use the z-confidence interval for μ.

a) The sample size is greater than 30.

b) The sample is based on a simple random sample (SRS).

c) The population standard deviation, σ, is unknown.

d) The variable has a Normal distribution.

e) All of the above are appropriate.

6. As the test statistic becomes larger, the p-value

(a) gets smaller

(b) becomes larger 

(c) stays the same, since the sample size has not been changed

(d) becomes negative.

 

7. To describe the sampling distribution of the sample proportion, we use

(a) The sample proportion 

(b) The population proportion 

(c) The population mean

(d) The population mean

 

8. When small samples are used to estimate a population mean, in cases where the population standard deviation is unknown and the original distribution is normal:

(a) There always will be a large amount of sampling error.

(b) the t-distribution must be used to obtain the critical value.

(c) the resulting margin of error for a confidence interval estimate will tend to be fairly small.

(d) the z distribution must be used to obtain the critical value.

 

 

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample mean, x¯\bar{x}ˉ, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct the 90% confidence interval for the population mean if the sample size, n, is 15. (b) Construct the 90% confidence interval for the population mean if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct the 95% confidence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval? (d) Construct the 90% confidence interval for the population standard deviation if the sample size, n, is 15.