Suppose that the distribution of IQ scores (X) of a group of school children follows the normal distribution of with an unknown mean and an standard deviation z. A random sample of n=16 children from this population resulted in sample mean x=105 and sample standard deviation S=16. The Kolmogrov-Rao-Blackwell-Pathak estimator of the proportion population with an IQ of at most 111 is:
A: 0.671
B: 0.693
C: 0.648
D: 0.715
E: 0.624
Suppose that the distribution of IQ scores (X) of a group of school children follows the...
Suppose that the distribution of IQ scores (X) of a group of school children follows the normal distribution with an unknown mean μ and an unknown standard deviation σ. A random sample of n= 16 children from this population resulted in sample mean X̄ = 105 and sample standard deviation S = 16. The Kolmogorov-Rao-Blackwell-Pathak estimator of the proprortion population with an IQ of at most 112 is: A: 0.693 B: 0.648 C: 0.715 D: 0.671 E: 0.624
Here are the IQ test scores of 31 seventh-grade girls in a Midwest school district: 114 100 104 89 102 91 114 114 103 105 108 130 120 132 111 128 118 119 86 72 111 103 74 112 107 103 98 96 112 112 93 These 31 girls are an SRS of all seventh-grade girls in the school district. Suppose that the standard deviation of IQ scores in this population is known to be σ σ = 15. We...
Here are the IQ test scores of 31 seventh-grade girls in a Midwest school district: 114 100 104 89 102 91 114 114 103 105 108 130 120 132 111 128 118 119 86 72 111 103 74 112 107 103 98 96 112 112 93 These 31 girls are an SRS of all seventh-grade girls in the school district. Suppose that the standard deviation of IQ scores in this population is known to be σ = 15. We expect...
Suppose a psychologist specializing in learning disorders wanted to estimate the mean IQ score for children with a particular type of learning disorder. She obtained a random sample of 10 children with this learning disorder and recorded the following IQ scores. 105,96,102,95,91,98,109,122,88,129 IQ scores in the general population are normally distributed with a mean of 100.0 points and a standard deviation of 15.0 points. The psychologist was willing to assume that the distribution of IQ scores for all children with...
Suppose that IQ scores have a bell-shaped distribution with a mean of 105 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are at least 120? Please do not round your answer.
(1 point) The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15. (a) Let x be a person's IQ score. Write the formula for the density function of IQ scores. p(x) = (b) Estimate the fraction of the population with IQ between 80 and 85. fraction =
A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 10. The psychologist randomly selects 80 children from this group and finds that their mean IQ score is 111. Based on this sample, find a 95% confidence interval for the true mean IQ score for all children of this group. Then complete the table below. Carry your intermediate computations to...
Suppose there is a raw. NOT standardized distribution of IQ scores with a mean of μ-116 and a standard deviation of σ-16. Suppose your raw IQ score in this distribution is X-148. What is your z-score in this distribution? O +2.00 0-1.50 O -2.00 О +1.50
Assume standard IQ test scores follow a normal distribution with a population standard deviation of 14 points. In estimating the mean score of a sample group, we want to be 98% certain that we are within 4 IQ points of the true mean. Determine the required sample size.
The IQ scores for adults in the entire population have an approximate normal distribution with mean 100 and standard deviation 15. A study done on 200 college students (ages 20 to 25) found college student age 20 to 25 have an average IQ of 105. Do college students aged 20 to 25 years old have a higher mean IQ than the rest of the population? Even if this does have statistical significance (meaning it is actually true), do you think...