6. Answer each question, given is a sample of 1000 observations which distribution follow a Gaussian...
6. Answer each question, given is a sample of 1000 observations which distribution follow a Gaussian distribution.
a. The mean is 100 and the standard deviation is 3. Based on this information what is the expected maximum amount of observations that is bigger than 109?
b. The mean is 100 and the variance is 9. Based on this information what is the expected maximum amount of observations that is bigger than 109?
c. Given is a dataset of 1000 observations which is normally distributed (Gaussian). The mean is 100 and the standard deviation is 20. How many observations are expected to be between 60 and 140?
a. 950, b. 667, c. 550, d. not enough information to answer
Homework Answers
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6. Answer each question, given is a sample of 1000 observations
which distribution follow a Gaussian...
Data Se Sample Variables 1 Proportions Observations 1000 p-bar for 1,000 samples (n 50] drawn fro...
Data Se Sample Variables 1 Proportions Observations 1000 p-bar for 1,000 samples (n 50] drawn from a binomial population (p 0.30) Minitab was used to generate the samples. Observations> Observations Variable Type Form Values Missing Sample Proportion Quantitative Numeric 1000 Variable Correlation Correlation If the sample you select for your statistical study is one of the 1,000 samples we drew in our repeated sampling, the worst-luck sample you could draw proportion. Use the tool to sort the observed values of...
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not...
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the...
Use the normal distribution of SAT critical reading scores for which the mean is 508 and the standard deviation is 115.
Use the normal distribution of SAT critical reading scores for which the mean is 508 and the standard deviation is 115. Assume the variable x is normally distributed (a) What percent of the SAT verbal scores are less than 600? (b) 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? (a) Approximately _______ for the SAT verbal scores are less than 600
Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 122
Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 122. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (a) Approximately 63.78 % of the SAT verbal scores are less than 550. (b) You would expect that approximately _______ SAT verbal scores would...
Question 2 (4 marks) Part a) A sample of n-25 observations is drawn from a normal...
Question 2 (4 marks) Part a) A sample of n-25 observations is drawn from a normal population with μ-100 and o-20. Find the following. i) P(X<96) ii) P(96-X-105) Part b) The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. i) What is the probability that a professor works for more than 60 hours per weeks? ii) Find the probability that...
Use the normal distribution of SAT critical reading scores for which the mean is 514 and...
Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 106. Assume the variable x is normally destributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (a) Approximately% of the SAT verbal scores are less than 550 (Round to two decimal places as needed) SAT verbal...
Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 123
Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 123. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 600? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? (a) Approximately _______ % of the SAT verbal scores are less than 600. (Round to two decimal places as needed)
4. Setup: Suppose you have observations X1,X2,X3,X4,X5 which are i.i.d. draws from a Gaussian distribution with...
4.
Setup:
Suppose you have observations X1,X2,X3,X4,X5 which are i.i.d.
draws from a Gaussian distribution with unknown mean μ and unknown
variance σ2.
Given Facts:
You are given the following:
15∑i=15Xi=0.90,15∑i=15X2i=1.31
Bookmark this page Setup: Suppose you have observations X1, X2, X3, X4, X5 which are i.i.d. draws from a Gaussian distribution with unknown mean u and unknown variance o? Given Facts: You are given the following: x=030, =1:1 Choose a test 1 point possible (graded, results hidden) To test...
Question 11 2 pts Consider the sample with the 5 observations {5, 8, 14, 17, 19)...
Question 11 2 pts Consider the sample with the 5 observations {5, 8, 14, 17, 19) for which the mean is 12.8 and the standard deviation is 6.22. If we change the sample by subtracting 1.3 from each value, what are the new mean and the new standard deviation respectively? None of the given pairs of numerical values is correct New mean = 10.2; new sd - 4.92 New mean = 10.2; new sd = 7.52 New mean = 12.8;...
1. The distribution of heights of adult men is Normal, with a mean of 69 inches...
1. The distribution of heights of adult men is Normal, with a mean of 69 inches and a standard deviation of 2 inches. Gary’s height has a z-score of 0.5 when compared to all adult men. Interpret what this z-score tells about how Gary’s height. A. Gary is one standard deviation above the mean. B. 68% of adult men are shorter than Gary. C. Gary is 70 inches tall. D. All of the above are correct answers. 2. The mean...
Data Se Sample Variables 1 Proportions Observations 1000 p-bar for 1,000 samples (n 50] drawn from a binomial population (p 0.30) Minitab was used to generate the samples. Observations> Observations Variable Type Form Values Missing Sample Proportion Quantitative Numeric 1000 Variable Correlation Correlation If the sample you select for your statistical study is one of the 1,000 samples we drew in our repeated sampling, the worst-luck sample you could draw proportion. Use the tool to sort the observed values of...
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the...
Question 2 (4 marks) Part a) A sample of n-25 observations is drawn from a normal population with μ-100 and o-20. Find the following. i) P(X<96) ii) P(96-X-105) Part b) The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. i) What is the probability that a professor works for more than 60 hours per weeks? ii) Find the probability that...
Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 106. Assume the variable x is normally destributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (a) Approximately% of the SAT verbal scores are less than 550 (Round to two decimal places as needed) SAT verbal...
4.
Setup:
Suppose you have observations X1,X2,X3,X4,X5 which are i.i.d.
draws from a Gaussian distribution with unknown mean μ and unknown
variance σ2.
Given Facts:
You are given the following:
15∑i=15Xi=0.90,15∑i=15X2i=1.31
Bookmark this page Setup: Suppose you have observations X1, X2, X3, X4, X5 which are i.i.d. draws from a Gaussian distribution with unknown mean u and unknown variance o? Given Facts: You are given the following: x=030, =1:1 Choose a test 1 point possible (graded, results hidden) To test...
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