Q2. A statistics practitioner determined that the mean and standard deviation of a sample of 500 observations were 120 and 30, respectively. Based on the 68%-95%-99.7% empirical rule, what can you say about the proportions that lie between
(1) 90 and 150?
(2) 60 and 180?
(3) 30 and 210?
Q2. A statistics practitioner determined that the mean and standard deviation of a sample of 500...
Q2. The applications of the 68%-95%-99.7% Empirical Rule and Chebbysheff's Theorem (1) Please use your words to explain what is the 68%-95%-99.7% empirical rule. (2) Please use your words to explain what is the Chebbysheff’s Theorem. (3) Now, suppose there is a normally distributed data set with the mean of 30 and the standard deviation of 5, what can you say about the proportions of observations that lie between each of the following intervals: (i) 25 and 35? (ii) 20...
SAT verbal scores are normally distributed with a mean of 489 and a standard deviation of 93. Use the empirical rule (also called 68-95-99.7 rule) to determine what percentage of the scores lie. a) between 210 and 675. b). Above 675?
A statistics practitioner took a random sample of 54 observations from a population whose standard deviation is 33 and computed the sample mean to be 105. Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. A. Estimate the population mean with 95% confidence. Confidence Interval = B. Estimate the population mean with 90% confidence. Confidence interval = C. Estimate the population mean with 99%...
In a normally distributed data set with a mean of 22 and a standard deviation of 4.1, what percentage of the data would be between 17.9 and 26.1? a)95% based on the Empirical Rule b)99.7% based on the Empirical Rule c)68% based on the Empirical Rule d)68% based on the histogram
(a) Place the flags one standard deviation on either sid of the mean. What is the area between these two values What does the 68-95-99.7 rule say this area is? (b) Repeat for locations two and three standard deviations on either side of the mean. Again compare t 68-95-99.7 rule with the area given by the applet. 1.118 Find some proportions. Using either Table A or your calculator or software, find the proportion of observations from a standard Normal distribution...
The mean of a normal probability distribution is 500; the standard deviation is 14. a. About 68% of the observations lie between what two values? Value 1 Value 2 b. About 95% of the observations lie between what two values? value a Value 1 Value 2 c. Practically all of the observations lie between what two values? Value 1 Value 2
Assume that a normal distribution of data has a mean of 20 and a standard deviation of 5. Use 68 - 95 - 99.7 rule to find the percentage of values that lie above 15. What is the percentage of values lie above 15?
Assume that a normal distribution of data has a mean of 12 and a standard deviation of 3. Use the 68-95-99.7 rule to find the percentage of values that lie below 9.
Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 80 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities. a. The relative frequency of rates less than 120 using the 68-95-99.7 rule is what rounded to three decimals?
PU Math 80 - Statistics Central Limit Theorem for Sample Proportions Handout 5.2 2 ES school 0.5. schools face an ongoing challenge: as students get closer to high school graduation, their enthusiasm for school falls. A Gallup poll in June 2017 has discovered that fifth graders are most engaged with school, while 11th graders are least. The latest Gallup poll showed that only 32% of 11th graders are engaged in school. Assume this value represents the population proportion. Suppose we...