A movie theater company wants to see if there is a difference in the average movie ticket sales in San Diego and Portland per week. They sample 20 sales from San Diego and 20 sales from Portland over a week. Test the claim using a 5% level of significance. Assume the variances are unequal and that movie sales are normally distributed.San DiegoPortland223209221214206223215221226218243214182222229220214223233224231233217219219226234226239219235228211212239216221219232211The Hypotheses for this problem are:H0: μ1 = μ2H1: μ1 μ2a) Find the p-value. Round answer to 4 decimal places.Answer: ?b) Choose the correct decision and summary based on the above p-value.Reject H0. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ.Do not reject H0. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ.Reject H0. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.Do not reject H0. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.

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Answered: Choose the correct decision and summary…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A movie theater company wants to see if there is a difference in the average movie ticket sales in San Diego and Portland per week. They sample 20 sales from San Diego and 20 sales from Portland over a week. Test the claim using a 5% level of significance. Assume the variances are unequal and that movie sales are normally distributed.

San Diego	Portland
223	209
221	214
206	223
215	221
226	218
243	214
182	222
229	220
214	223
233	224
231	233
217	219
219	226
234	226
239	219
235	228
211	212
239	216
221	219
232	211

The Hypotheses for this problem are:

H₀: μ₁ = μ₂

H₁: μ₁ μ₂

a) Find the p-value. Round answer to 4 decimal places.

Answer: ?

b) Choose the correct decision and summary based on the above p-value.

Reject H₀. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ.

Do not reject H₀. There is no evidence that the average movie ticket sales in San Diego and Portland per week differ.

Reject H₀. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.

Do not reject H_0. There is evidence that the average movie ticket sales in San Diego and Portland per week differ.

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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