An interior decorator wants to compare the prices at 2 stores to see if their mean prices are significantly different. She gathers the prices at each store on the same 26 items (from bath mats to window curtains). What kind of hypotheisis test is this?1 Proportion z-test2 Means Matched Pairs t-test2 Independent Means t-test1 Mean t-testWhich hypotheses do we want to test?H0: μ1 = μ2HA: μ1 ≠ μ1H0: μ1 ≠ μ1HA: μ1 = μ1H0: μ1 = μ1HA: μ1 < μ1

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Description: An interior decorator wants to compare the prices at 2 stores to see if their mean prices are significantly different. She gathers the prices at each store on the same 26 items (from bath mats to window curtains). What kind of hypotheisis test is thi

The claim is that mean prices are significantly different.

Answered: An interior decorator wants to compare…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 4GP

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An interior decorator wants to compare the prices at 2 stores to see if their mean prices are significantly different. She gathers the prices at each store on the same 26 items (from bath mats to window curtains).

What kind of hypotheisis test is this?
- 1 Proportion z-test
- 2 Means Matched Pairs t-test
- 2 Independent Means t-test
- 1 Mean t-test
Which hypotheses do we want to test?
- H₀: μ₁ = μ₂
  H_A: μ₁ ≠ μ₁
- H₀: μ₁ ≠ μ₁
  H_A: μ₁ = μ₁
- H₀: μ₁ = μ₁
  H_A: μ₁ < μ₁

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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