Question

Approximately how much people spend at chipotle for one order:

10.5
10
10
10
11
10
12.5
8
15
0
12.75
11
20
15
10
10
15
10
12
13.5
15
10
10
11.5
14.75
15
18
10.5
11
12
14
14.5
15
13
11
8.5
10
16
11
10
10
10
10
10.5
11
8
12
12
9
11.5

Create a null and alternative hypothesis using the data given, national average per order at chipotle is $11

Is the sample random?

Put data into a box and whisker plot

Based on the data create a confidence interval with 95% confidence

Based on the data do you accept or reject null hypothesis at 5%significance level

Answer 1

The data provided is :

	Data
	10.5
	10
	10
	10
	11
	10
	12.5
	8
	15
	0
	12.75
	11
	20
	15
	10
	10
	15
	10
	12
	13.5
	15
	10
	10
	11.5
	14.75
	15
	18
	10.5
	11
	12
	14
	14.5
	15
	13
	11
	8.5
	10
	16
	11
	10
	10
	10
	10
	10.5
	11
	8
	12
	12
	9
	11.5
Count	50
Mean	11.62
StDev	3.03434423

Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

Ho:

Ha:

Random

Yes the sample seems random

Box and whisker plot

Confidence interval

The critical value for α=0.05 and df=n−1=49 degrees of freedom is . The corresponding confidence interval is computed as shown below:

Accept the null hypothesis since 11 is contained in the above interval.

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