SOLUTION: I have partially solved the below hypothesis test, but I am stuck. Below is the data set. In this dataset you will find the amount spent for a dinner at the newest restaurant

Question 1057939: I have partially solved the below hypothesis test, but I am stuck. Below is the data set.

In this dataset you will find the amount spent for a dinner at the newest restaurant in town to be an average of $30.59. You, as researchers, have taken a sample from this dataset and have different results. Please conduct a hypothesis test to demonstrate if the original hypothesis is correct.
CUSTOMER AMOUNT SPENT
1 $15.05
2 $35.06
3 $21.25
4 $22.60
5 $27.00
6 $18.65
7 $19.45
8 $32.45
9 $41.28
10 $26.54
11 $32.21
12 $25.45
13 $15.91
14 $64.54
15 $23.58
16 $75.81
17 $45.25
18 $32.51
19 $24.50
20 $35.10
21 $26.58
22 $45.00
23 $21.00
24 $15.61
25 $23.25
26 $24.65
27 $21.45
28 $19.51
29 $36.52
30 $25.41
31 $10.25
32 $32.45
33 $47.25
34 $15.91
35 $32.25
36 $45.51
37 $12.25
38 $36.45
39 $12.00
40 $20.00
41 $21.25
42 $32.61
43 $45.54
44 $26.54
45 $45.67
46 $65.58
47 $18.91
48 $19.54
49 $65.54
Below is my random sample data set. It is for 30 customers.
CUSTOMER AMOUNT SPENT
13 $15.91
42 $32.61
24 $15.61
40 $20.00
25 $23.25
9 $41.28
16 $75.81
32 $32.45
31 $10.25
47 $18.91
22 $45.00
38 $36.45
10 $26.54
19 $24.50
21 $26.58
28 $19.51
2 $35.06
30 $25.41
4 $22.60
27 $21.45
41 $21.25
12 $25.45
49 $65.54
36 $45.51
7 $19.45
33 $47.25
37 $12.25
20 $35.10
5 $27.00
8 $32.45

I believe the Null Hypothesis is: H0: μ = $30.59
I believe the alternative is: H1: 𝑋�̅ < $30.59
I can't seem to calculate the test statistic, and therefore I cannot make my conclusion of rejecting the HO or fail to reject the HO.
Please help.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Below is my random sample data set. It is for 30 customers.
CUSTOMER AMOUNT SPENT
13 $15.91
42 $32.61
24 $15.61
40 $20.00
25 $23.25
9 $41.28
16 $75.81
32 $32.45
31 $10.25
47 $18.91
22 $45.00
38 $36.45
10 $26.54
19 $24.50
21 $26.58
28 $19.51
2 $35.06
30 $25.41
4 $22.60
27 $21.45
41 $21.25
12 $25.45
49 $65.54
36 $45.51
7 $19.45
33 $47.25
37 $12.25
20 $35.10
5 $27.00
8 $32.45
I believe the Null Hypothesis is:
Ho: μ = $30.59
Ha: u # $30.59
Sample Mean is the mean of your sample :: 29.35
Find the standard deviation of your sample.
Find the z-value (or t-value if your class uses t-tests); this is
the test statistic.
----
Assume this is a 95% test.
Find the p-value
If 2*(p-value) < 5% reject Ho.
Cheers,
Stan H.
------------

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