Question

13. Chi-square: Which of the following values is significant at the .05 level?

1. X²(10)=15.43
2. X²(8)=12.20
3. X²(5)=11.12
4. X²(2)=4.23

14. Calculate Test Statistics By Hand

1. Mean, Median, Mode, Standard Deviation, Variance & Range (use data in the table below)

Athletes’’ weight (lbs)
144
165
210
177
165
182
150
170
190
205

Mean:

Median:

Mode:

Standard deviation:

Variance:

Range:

Answer 1

13.

SNO	Caclulated Value	P value	Significant
a.	X2(10)=15.43	0.117153491	NO
b.	X2(8)=12.20	0.142500974	NO
c.	X2(5)=11.12	0.04905197	Yes
d.	X2(2)=4.23	0.12063329	NO

OPTION C is correct.

14.

The sample size is n=10. The provided sample data along with the data required to compute the sample mean and sample variance are shown in the table below:

	X	X2
	144	20736
	165	27225
	210	44100
	177	31329
	165	27225
	182	33124
	150	22500
	170	28900
	190	36100
	205	42025
Sum =	1758	313264

Now, in order to compute the median the data needs to be put into ascending order, as shown in the table below

Position	X (Asc. Order)
1	144
2	150
3	165
4	165
5	170
6	177
7	182
8	190
9	205
10	210

Since the sample size n=10 is even, we have that (n+1)/2 = (10+1)/2 = 5.5 is not an integer value, the median is computing by taking the average of the values at the positions 5th and 6th, as shown below

The mode of the data set is 165.

Also, from the information above we get that min=144, max=210, which means that the range is

Range=max−min=210−144=66

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