Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly small number. O No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly large number. OYes. This number of IQ test scores is a fairly small number.
Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly small number. O No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly large number. OYes. This number of IQ test scores is a fairly small number.
Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly small number. O No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly large number. OYes. This number of IQ test scores is a fairly small number.
An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 2 IQ points of the true mean. Assume that σ=12 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Transcribed Image Text:### Sampling IQ Test Scores
**Question:**
Would it be reasonable to sample this number of students?
**Options:**
- ☐ No. This number of IQ test scores is a fairly small number.
- ☐ No. This number of IQ test scores is a fairly large number.
- ☑ Yes. This number of IQ test scores is a fairly large number.
- ☐ Yes. This number of IQ test scores is a fairly small number.
The highlighted option indicates that it is considered reasonable to sample this number of students, as the number of IQ test scores is classified as fairly large.
Transcribed Image Text:The image contains the following text:
"The required sample size is [blank]. (Round up to the nearest integer.)"
This text appears to provide instructions for calculating or filling out a sample size, emphasizing the need to round the result up to the nearest whole number. There are no graphs or diagrams in the image.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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![The image contains the following text:
"The required sample size is [blank]. (Round up to the nearest integer.)"
This text appears to provide instructions for calculating or filling out a sample size, emphasizing the need to round the result up to the nearest whole number. There are no graphs or diagrams in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b463452-b960-4b00-bce0-3a69d9f467e2%2Ffd6ca28a-9745-4466-83ae-241b04f1e092%2Feyzlw6p_processed.png&w=3840&q=75)
