In: Statistics and Probability
16. Using the rule of 68-95-99.7, we know that 99.7% of data will fall between how many standard deviations of the mean? _____________
17. When we look at the direction of correlation coefficients, we look at the relationship between two variables. If you are measuring the relationship of caffeine intake and difficulty falling asleep, and discovered that as caffeine intake increased, difficulty falling asleep also increased, this would be a _________________ relationship.
18. The strength of the relationship between two variables, whether positive or negative, is also known at the _____________________________.
19. True/False (circle or bold your answer): A confidence interval of 30% means that a researcher has a high probability of being correct regarding inferences drawn based on research data based on estimates established around the means.
20. True or False (circle or bold your answer): If a research study reports a finding that is statistically significant, this means that the critical values for this finding fall within the center of the data distribution.
16. Using the rule of 68-95-99.7, we know that 99.7% of data will fall between how many standard deviations of the mean?
- the correct answer is 3 sigma limits.
Reason : the respective limits for 68-95-99.7 are 1,2,3.
17. When we look at the direction of correlation coefficients, we look at the relationship between two variables. If you are measuring the relationship of caffeine intake and difficulty falling asleep, and discovered that as caffeine intake increased, difficulty falling asleep also increased, this would be a positive relationship.
Reason : if the two variables moves in the same direction either either both increases or decreases the relationship is positive.
18. The strength of the relationship between two variables, whether positive or negative, is also known as the Correlation between them.
Reason : the degree of relationship is called correlation.
19. A confidence interval of 30% means that a researcher has a high probability of being correct regarding inferences drawn based on research data based on estimates established around the means.
- False.
.Reason : the confidence interval is 30% means the researcher is 30% sure of his outcomes based on the sample, which will lead to an incorrect result 70% of the times.
20. If a research study reports a finding that is statistically significant, this means that the critical values for this finding fall within the center of the data distribution.
- False
Reason : the result id statistically significant if the null hypothesis is rejected, clearly means the rejection of pre decided value. that mean the distribution of true value will not fall around that.