Homework Answers
solution
option (b) the scores tend to be spread out
reason :
A large variance indicates that numbers in the set are far from the mean and from each other, while a small variance indicates the opposite
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1 points Save Answer What does a large number for variance mean? The scores tend to...
QUESTION 14 1 points Save Answer Consider the following statements concerning the normal distribution. ) The...
QUESTION 14 1 points Save Answer Consider the following statements concerning the normal distribution. ) The normal distribution is symmetric and unimodal. (ii) The normal distribution is useful for approximating some discrete distributions. (iii) Only knowledge of the mean and variance is required to completely specify a normal distribution. A. Only (i) and (ii) are true. B. All of (i), (ii) and (ii) are true. C. Only () is true. D. Only () and (iii) are true. QUESTION 15 0.5...
1. According to the empirical rule, in a normally distributed set of data, approximately what percent...
1. According to the empirical rule, in a normally distributed set of data, approximately what percent of the scores will be within 1 standard deviation (-1 to +1) away from the mean? 40% 95% 68% 75% 2. f you took an IQ test and your score was 2 standard deviations above average, assuming normal distribution, approximately what percent of all IQ test takers would your score be higher than? 98% 60% 70% 80% 3. if you took an IQ test...
QUESTION 18 6 points Save Answer A large cooperation has quality control over its fertilizers. The...
QUESTION 18 6 points Save Answer A large cooperation has quality control over its fertilizers. The fertilizes are composed of nitrogen. The fertilizer requires 3 mg of nitrogen. The distribution of the percentage of nitrogen is unknown with a mean of 2.5 mg and a standard deviation of 0.1. A specialist randomly checked 100 fertilizer samples. What is the probability that the mean of the sample of 100 fertilizers less than 2 mg? QUESTION 19 10 points Save Answer A...
QUESTION 3 10 points Save Answer In order to help determine acceptance criteria for their graduate...
QUESTION 3 10 points Save Answer In order to help determine acceptance criteria for their graduate school, an admissions committee at a large university examines random samples of 120 GRE scores, which follow a bell-shaped distribution. The sampling distribution is used to determine the minimum GRE score accepted when applying to the university's graduate school program. Can use CLT Cannot use CLT On> 30 On<30 Problem states that the original distribution is normal. QUESTION 4 10 points Save Answer European...
QUESTION 9 1 points Save Answer Past experience has indicated that the breaking strength of yarn...
QUESTION 9 1 points Save Answer Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed and that ơ-6.2 psi A randorm sample of nine specimens is tested, and the average breaking strength s found to be 7 psi The 95% confidence interval for the truc mean breaking strength is written as (A ; B). Find the value of A? round your answer to three digits. QUESTION 10 1 points Save Answer...
The variance of the scores on a skill evaluation test is 143,641 with a mean of...
The variance of the scores on a skill evaluation test is 143,641 with a mean of 1517 points. If 343 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by more than 36 points? Round your answer to four decimal places.
Mathematics achievement test scores for 500 students were found to have a mean and a variance...
Mathematics achievement test scores for 500 students were found to have a mean and a variance equal to 510 and 3600, respectively. If the distribution of test scores was mound-shaped, approximately how many of the scores would fall into the interval 450 to 570? (Round your answer to the nearest whole number.) scores Approximately how many scores would be expected to fall into the interval 390 to 630? (Round your answer to the nearest whole number.) scores
2. Generate a large number of Gaussian distributed random numbers with mean 0 and variance 1....
2. Generate a large number of Gaussian distributed random numbers with mean 0 and variance 1. (HINT: use the randn command) a) Provide a scatter plot of the random numbers b) Plot the pdf of the distribution (similar to 1) and compare with theoretical pdf given in the class handout. c) If I want to generate a Gaussian distributed random numbers with mean 2 and variance 9 from the previously generated set of random numbers, how would I do it?...
1- Suppose a simple random sample of sizen is drawn froma large population with mean u...
1- Suppose a simple random sample of sizen is drawn froma large population with mean u and standard deviation o. The sampling distribution of x has mean ug and standard deviation= 2- As the number of degrees of freedom in the t-distribution increase, the spread of the distribution 3- True or False: The value of to.10 with 5 degrees of freedom is greater than the value of to.10 with 10 degrees of freedom. 4- True or False: To construct a...
The next two questions (39 and 40) refer to the following: Percentage scores in a large...
The next two questions (39 and 40) refer to the following: Percentage scores in a large Math class follow a normal distribution with mean 60 and standard deviation 12. Percentage scores in a large Chemistry class follow a normal distribution with mean 72 and standard deviation 8. Question 39 (1 point) What proportion of students in the Chemistry class score between 62 and 76 marks? 0.7066 O 0.5859 0.6247 0.6842 O 0.5587
QUESTION 14 1 points Save Answer Consider the following statements concerning the normal distribution. ) The normal distribution is symmetric and unimodal. (ii) The normal distribution is useful for approximating some discrete distributions. (iii) Only knowledge of the mean and variance is required to completely specify a normal distribution. A. Only (i) and (ii) are true. B. All of (i), (ii) and (ii) are true. C. Only () is true. D. Only () and (iii) are true. QUESTION 15 0.5...
QUESTION 18 6 points Save Answer A large cooperation has quality control over its fertilizers. The fertilizes are composed of nitrogen. The fertilizer requires 3 mg of nitrogen. The distribution of the percentage of nitrogen is unknown with a mean of 2.5 mg and a standard deviation of 0.1. A specialist randomly checked 100 fertilizer samples. What is the probability that the mean of the sample of 100 fertilizers less than 2 mg? QUESTION 19 10 points Save Answer A...
QUESTION 3 10 points Save Answer In order to help determine acceptance criteria for their graduate school, an admissions committee at a large university examines random samples of 120 GRE scores, which follow a bell-shaped distribution. The sampling distribution is used to determine the minimum GRE score accepted when applying to the university's graduate school program. Can use CLT Cannot use CLT On> 30 On<30 Problem states that the original distribution is normal. QUESTION 4 10 points Save Answer European...
QUESTION 9 1 points Save Answer Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed and that ơ-6.2 psi A randorm sample of nine specimens is tested, and the average breaking strength s found to be 7 psi The 95% confidence interval for the truc mean breaking strength is written as (A ; B). Find the value of A? round your answer to three digits. QUESTION 10 1 points Save Answer...
The variance of the scores on a skill evaluation test is 143,641 with a mean of 1517 points. If 343 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by more than 36 points? Round your answer to four decimal places.
2. Generate a large number of Gaussian distributed random numbers with mean 0 and variance 1. (HINT: use the randn command) a) Provide a scatter plot of the random numbers b) Plot the pdf of the distribution (similar to 1) and compare with theoretical pdf given in the class handout. c) If I want to generate a Gaussian distributed random numbers with mean 2 and variance 9 from the previously generated set of random numbers, how would I do it?...
1- Suppose a simple random sample of sizen is drawn froma large population with mean u and standard deviation o. The sampling distribution of x has mean ug and standard deviation= 2- As the number of degrees of freedom in the t-distribution increase, the spread of the distribution 3- True or False: The value of to.10 with 5 degrees of freedom is greater than the value of to.10 with 10 degrees of freedom. 4- True or False: To construct a...
The next two questions (39 and 40) refer to the following: Percentage scores in a large Math class follow a normal distribution with mean 60 and standard deviation 12. Percentage scores in a large Chemistry class follow a normal distribution with mean 72 and standard deviation 8. Question 39 (1 point) What proportion of students in the Chemistry class score between 62 and 76 marks? 0.7066 O 0.5859 0.6247 0.6842 O 0.5587
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