Answered: The mean price of a cup of coffee in…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section11.3: Shapes Of Distributions

Problem 14E

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Question

The mean price of a cup of coffee in Portland, OR is $3.94. The owner of a new coffee house believes that the mean price of coffee is different in their neighborhood. A sample of 8 coffee prices from other local coffee shops in their area are shown below.

Price

4.2

2.15

3.35

3.5

2.25

2.4

3.9

3.4

Test the claim that mean price of a cup of coffee is not equal to $3.94 using a 5% level of significance. Assume that the coffee prices are normally distributed. Give answers to at least 2 decimal places.

a) Fill in the hypotheses below:

H₀:

H₁:

b) The p-value is 0.0234.

The correct decision is to:

The correct summary would be: sufficient, insufficient or not enough evidence to reject the claim

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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