What is the critical value and what does it mean two part question The mean IQ for the U.S. is 100 with a standard deviation of 15. A Troy statistics professor thinks Troystudents are smarter than average, so he randomly samples 10 students and records the following IQ datato test his hypothesis. What conclusion should you make?IQ: 95 100 105 110 115 100 105 110 105 105O the data support the claim that Troy students have an IQ greater than 100O the data do not support the claim that Troy students have an IQ greater than 100O the data support the null hypothesisthe data fail to support the alternative hypothesis The mean IQ for the U.S. is 100 with a standard deviation of 15. A Troy statistics professor thinks Troystudents are smarter than average, so he randomly samples 10 students and records the following IQ datato test his hypothesis. What is the critical value (CV) for this problem (use .05 level of significance)?IQ: 95 100 105 110 115 100 105 110 105 1052.741.8121.8330.052.2622.228a

Let μ be the IQ score of the student. Sample size (n) = 10 Population mean (μ) = 100 Standard…

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MATLAB: An Introduction with Applications

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What is the critical value and what does it mean two part question

The mean IQ for the U.S. is 100 with a standard deviation of 15. A Troy statistics professor thinks Troy
students are smarter than average, so he randomly samples 10 students and records the following IQ data
to test his hypothesis. What conclusion should you make?
IQ: 95 100 105 110 115 100 105 110 105 105
O the data support the claim that Troy students have an IQ greater than 100
O the data do not support the claim that Troy students have an IQ greater than 100
O the data support the null hypothesis
the data fail to support the alternative hypothesis

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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