Question

In: Statistics and Probability

16. Using the rule of 68-95-99.7, we know that 99.7% of data will fall between how...

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.

Solutions

Expert Solution

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.


Related Solutions

What is meant by empirical rule or 68 – 95 – 99.7 rule in statistics ?
What is meant by empirical rule or 68 – 95 – 99.7 rule in statistics ?
Apply the 68-95-99.7 Rule to a mean of 67.9498 and standard deviation 1.94
Apply the 68-95-99.7 Rule to a mean of 67.9498 and standard deviation 1.94
1. Use the​ 68-95-99.7 Rule to approximate the probability rather than using technology to find the...
1. Use the​ 68-95-99.7 Rule to approximate the probability rather than using technology to find the values more precisely. The daily closing price of a stock​ (in $) is well modeled by a Normal model with mean ​$158.14 and standard deviation ​$4.64. According to this​ model, what cutoff​ value(s) of price would separate the following​ percentage? ​ a) highest 0.15​% ​b) highest ​50% ​c) middle 95​% ​d) highest 2.5​% 2. In the last quarter of​ 2007, a group of 64...
Apply the 68-95-99.7 rule to answer the question. The systolic blood pressure of a group of...
Apply the 68-95-99.7 rule to answer the question. The systolic blood pressure of a group of 18-year-old women is normally distributed with a mean of 113 mmHg and a standard deviation of 11 mmHg. What percentage of 18-year-old women in this group have a systolic blood pressure that lies within 3 standard deviations to either side of the mean? A. 95% B. 68% C. 34% D. 99.7%
Applying the 68-95-99.7 rule. The average amount you spend on a lunch during the week is...
Applying the 68-95-99.7 rule. The average amount you spend on a lunch during the week is not known. Based on past experience, you are willing to assume that the standard deviation is $2.10. You are taking a random sample of 28 lunches. The 68-95-99.7 rule says that the probability is about 0.95 that x with bar on top is within $_________ of the population mean μ. Fill in the blank (report to two decimal places)
According to the 68-95-99.7 rule what percent of the population are more than 2 standard deviation...
According to the 68-95-99.7 rule what percent of the population are more than 2 standard deviation away from the mean?
How would the 68, 95, 99% rule apply for measures E and F if for measure...
How would the 68, 95, 99% rule apply for measures E and F if for measure E my mean is 73 and standard deviation of 11 and Measure F my mean is 27 and standard deviation of 17.4 what each fall between
Using the empirical rule, 68% of male sleep amounts should be between what two values? Either...
Using the empirical rule, 68% of male sleep amounts should be between what two values? Either show work or explain how your answer was calculated. (need to be able to show the work as a typed out problem in Word, so if possible type out the solutions and formulas so that there are easier to read) 7 5 8 8 6 8 8 8 10 7 7 4 9 8 7 8 8 10
Suppose that the middle 68% of monthly food expenditures for a family of four fall between...
Suppose that the middle 68% of monthly food expenditures for a family of four fall between 533.21 and 685.13. Give an approximate estimate of the standard deviation of the expenditures. Assume the expenditures have a normal distribution
If we know that the core temperatures of baboon fall roughly in a normal distribution with...
If we know that the core temperatures of baboon fall roughly in a normal distribution with a mean of 100.6°F and a standard deviation of 0.86°F, answer the following. Step 1 of 4: What temperature would put a baboon in the 76th percentile? Include appropriate unit and round to 2 decimals. Step 2 of 4: What temperature would put a baboon in the bottom 20% of temperatures? Include appropriate unit and round to 2 decimals. Step 3 of 4: What...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT