# subjective

**Q1.a. ____ are characteristics of samples, whereas _______ are characteristics of populations.**

** b. Identify the 4 Measures of location we discussed in class ____________, ______________,__________,___________ **

** c.. Identify the 4 measures of variation or Spread we discussed in class.____________,_______________,__________,________**

**Q2. In a normal distribution, what percentage of scores falls between one standard deviation below the mean and one standard deviation above the mean?**

**——-%**

**Q3. In a normal distribution, what percentage of scores falls between two standard deviation below the mean and two standard deviation above the mean?**

**——-%**

**Q4. In a normal distribution, what percentage of scores falls between one standard deviation below the mean and two standard deviation above the mean?**

**——–%**

**Q5. In a normal distribution, what percentage of scores higher than one standard deviation above the mean? **

**———%**

**Q6. In a normal distribution, what percentage of scores lower than between two standard deviation above the mean?**

**——–%**

**Q 7. For the following set of data in a simple random sample of size 15, the scores of the students are **

**17, 16, 19, 19, 19, 15, 14, 12, 16, 15, 20, 14, 13, 12, 8.**

**Explanation is given in class Use Excel to find Mean, Median, Mode, Range, Variance , and Standard Deviation.**

**Do your work in excel and copy and paste here.**

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**For the following questions (Q8-Q11) use hand calculation as explained in class.**

**Q8. Here is a set of scores: 15, 13, 17, 13, 16, 12, 15, 13, 6, 10 The mean of this set of scores is ______.**

**Q9. Here is a set of scores: 15, 13, 17, 13, 16, 12, 15, 13, 6, 10 The median of this set of scores is ______.**

**Q10 Here is a set of scores: 15, 13, 17, 13, 16, 12, 15, 13, 6, 10. The mode of this set of scores is ______.**

**Q11. Here is a set of scores in a sample : 15, 13, 17, 13, 16, 12, 15, 13, 6, 10 The sample Variance and Standard deviation of this set of scores are __________. And _____________**

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**Show your work below as explained in class**

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**Q12. The measure(s) of central tendency that is/are appropriate for use with nominal data is/are:**

** a. the median only. b. the mode only.**

** c. the median and the mean. d. the median and the mode.**

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**Q13. When summarizing ordinal data, the ______ is the most useful measure of central tendency.**

**a. the median only. b. the mode only.**

** c. the median and the mean. d. the median and the mode.**

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**Q14. An exam was given to two sections of the same course. In Section 1, the exam mean was 71 and the standard deviation was 8. In Section 2, the exam mean was 51 and the standard deviation was 8. Which of the following conclusions is accurate?**

**a.. Section 1 did better on the exam than Section 2.**

**b. Section 1 scores were more variable than Section 2.**

**c. Section 1 scores were less variable than Section 2.**

**d. Section 1 did less well on the exam than Section 2.**

**Q15. The z-score, or standard score, allows the research to determine:**

** a. the mean for the population based on the mean for the sample.**

** b. what percentage of individuals in the sample scored below the target individual.**

** c. how far a target individual’s score is from the group mean.**

** d. what percentage of individuals in the sample scored above the target individual.**

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**Q16. The percentile rank allows the researcher to determine:**

** a. what percentage of individuals in the sample scored above the target individual.**

** b. the mean for the population based on the mean for the sample.**

** c. how far a target individual’s score is from the group mean.**

** d. what percentage of individuals in the sample scored below the target individual.**

**Q17. For a data that has a frequency distribution is negative (left) skewed , the mean is of the data is smaller than the median.**

**True b. False**

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**Q18. For a data that has a frequency distribution is positive (right) skewed, there is small percent of large values. **

**True b. False**

**Q19. I. Seamus has determined that there is a 95% chance that the number of people visiting the Blarney Stone in the month of June will be between 1,760 and 2,025. This is a/an ______ estimate.**

** a. point b. interval**

** II. Seamus has estimated chance that the number of people visiting the Blarney Stone in the month of June will be 1,960,000 . This is a/an ______ estimate.**

** a. point b. interval**

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**Q20. In a simple random sample of 100 high school students , the sample mean of the SAT scores was 1450, and the sample standard deviation was 180.**

** a. Find a point estimate of the population mean of all the high school students’ SAT scores from which the sample was drawn.**

**b. Find a 95.4% confidence interval for the population mean of all the high school students’ SAT scores from which the sample was drawn.**

**Q21. In a simple random sample of 121 high school students , the sample mean of the SAT scores was 1450, and the sample standard deviation was 190. Test the null hypothesis that the population of all the high school students’ SAT scores from which the sample was drawn is 1400 vs the research hypothesis is different from 1400. (use a significance level of 5%)**

** Show the null and hypothesis , the test statistic value Z, test and make a conclusion.**

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**Q22. In a simple random sample of 100 high school students , the sample mean of the SAT scores was 1530, and the sample standard deviation was 200. Test the null hypothesis that the population of all the high school students’ SAT scores from which the sample was drawn is 1500 vs the research hypothesis is different from 1500. (use a significance level of 5%)**

** Show the null and hypothesis , the test statistic value Z, test and make a conclusion.**

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**Q23. Statistical hypothesis testing involves testing the___________ hypothesis and then make a decision about the ___________ hypothesis.**

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**Q24. On the basis of statistical findings, Ron determines that the differences between males and females on a test of spatial reasoning are not due merely to chance. If, in fact, there are no gender differences in the population, Ron will have made a:**

** a. Type I error. b. Type II error.**

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**Q25. On the basis of statistical findings, Becky determines that the difference between males and females on a test of abstract mathematical reasoning is merely due to chance. If, in fact, there are gender differences in the population, Becky will have made a:**

** a. Type I error. b. Type II error.**