A diet doctor claims Australians are, on average, overweight bymore than 10kg. To test this claim, a random sample of 100Australians were weighed, and the difference between their actualweight and their ideal weight was calculated and recorded.

The data are contained in the Excel file Weights.xlsx.

Use these data to test the doctor's claim at the 5% level ofsignificance.

Excess weight (Kgs)
16.0
4.0
4.0
4.5
11.0
7.0
7.0
16.5
14.5
5.5
16.5
0.5
13.5
26.0
28.0
31.5
14.0
25.0
14.5
1.0
2.5
4.0
17.5
6.0
5.0
4.5
10.0
11.0
8.0
0.5
4.5
10.5
31.0
23.0
11.5
10.0
10.0
22.5
4.0
12.5
29.5
23.5
10.5
10.5
10.0
12.5
21.5
5.0
5.0
20.0
15.0
15.0
25.0
15.0
11.0
28.5
14.0
24.5
20.0
7.5
1.5
5.5
9.5
3.0
8.5
4.0
5.5
8.5
17.0
13.0
20.5
23.0
18.5
16.5
6.5
5.0
16.5
5.0
9.0
15.0
21.0
9.0
24.0
8.0
9.0
6.5
23.0
7.5
14.5
15.5
0.5
10.0
23.0
21.0
7.5
15.0
10.5
8.5
16.5
17.0

Question 10

(Part B)

In this question, we let ? represent

	a.	the population mean 12.7
	b.	the population average ideal weight of Australians
	c.	the population average actual weight of Australians
	d.	the population average of difference between the actual andideal weights
	e.	None of the above

Question 11

(Part B)

The null hypothesis is

	a.	H0: ? > 10
	b.	H0: ? = 10
	c.	H0: ? = 12.7
	d.	H0: ? < 12.7
	e.	None of the above

Question 12

(Part B)

The alternative hypothesis is

	a.	HA: ? > 10
	b.	HA: ? < 12.7
	c.	HA: ? ? 10
	d.	HA: ? ? 12.7
	e.	None of the above

Question 13

(Part B)

The value of the t-statistic is

	a.	–3.527
	b.	0.3527
	c.	3.527
	d.	–0.275
	e.	None of the above

Question 14

(Part B)

The decision rule is

	a.	reject HA if t > 1.984
	b.	reject H0 if t > 1.984
	c.	reject H0 if t < 1.660
	d.	reject H0 if t > 1.660
	e.	None of the above

Question 15

(Part B)

The p-value is

	a.	1.660
	b.	0.05
	c.	0.0003
	d.	0.0070
	e.	None of the above