Question

In: Statistics and Probability

A particular population, for which the frequency curve is bell-shaped (normal), has a mean of μ=100...

A particular population, for which the frequency curve is bell-shaped (normal), has a mean of μ=100 and a standard deviation of σ=18. For samples of size n=36 consider the sampling distribution of the sample mean ("xbar").

Note that 18 36=3 and that

  • 100±(1)(3)⟹97 to 103
  • 100±(2)(3)⟹94 to 106
  • 100±(3)(3)⟹91 to 109

According to the empirical rule, approximately _____ percent of samples of size 36 will produce a sample mean between 97 and 103.

Group of answer choices

99.7

90

95

68

None of the other choices represent a suitable response.

Solutions

Expert Solution


Related Solutions

A random sample of n =100 is selected from a normal population with mean μ =...
A random sample of n =100 is selected from a normal population with mean μ = 24 and standard deviation σ = 1.25. Find the probability that  is less than 24.3
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 17. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 49 and 151​? ​(b) What percentage of people has an IQ score less than 83 or greater than 117​? ​(c) What percentage of people has an IQ score greater than 151​?
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 88 and 112​? ​(b) What percentage of people has an IQ score less than 76 or greater than 124​? ​(c) What percentage of people has an IQ score greater than 136​?
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 70 and 130​? ​(b) What percentage of people has an IQ score less than 55 or greater than 145​? ​ (c) What percentage of people has an IQ score greater than 115​? ​
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13 Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 87 and 113​? ​(b) What percentage of people has an IQ score less than 74 or greater than 126​? ​(c) What percentage of people has an IQ score greater than 126​?
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 19. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 62 and 138​? ​(b) What percentage of people has an IQ score less than 43 or greater than 157​? ​(c) What percentage of people has an IQ score greater than 138​? ​(a) 95​% ​(Type an integer or a​ decimal.)
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 87 and 113​? ​(b) What percentage of people has an IQ score less than 87 or greater than 113​? ​(c) What percentage of people has an IQ score greater than 139?
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 18. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 64 and 136​? ​(b) What percentage of people has an IQ score less than 64 or greater than 136​? ​(c) What percentage of people has an IQ score greater than 154​?
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule to determine the following. ​ (a) What percentage of people has an IQ score between 61 and 139? ​(b) What percentage of people has an IQ score less than 74 or greater than 126? ​ (c) What percentage of people has an IQ score greater than 113? ​
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a...
Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 18. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 82 and 118​? ​(b) What percentage of people has an IQ score less than 64 or greater than 136​? ​(c) What percentage of people has an IQ score greater than 118​?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT