Question

		NUTRITIONAL DATA FOR FAST FOOD 2017		X	Y
No.	Fast Food Restaurant	Item	Type	Sugar (g)	Protein (g)
1.	McDonald’s	Hamburger	Burger	6	12
2.	McDonald’s	Cheeseburger	Burger	7	15
3.	McDonald’s	Big Mac	Burger	9	24
4.	McDonald’s	Quarter pounder with cheese	Burger	10	30
5.	McDonald’s	Bacon clubhouse Burger	Burger	14	39
6.	McDonald’s	Double quarter pounder with cheese	Burger	10	48
7.	McDonald’s	Chocolate shake (12 oz)	Milkshake	63	11
8.	McDonald’s	Premium crispy chicken classic	Breaded chicken sandwich	10	24
9.	McDonald’s	Premium grilled chicken classic sandwich	Grill chicken sandwich	8	28
10.	McDonald’s	Chicken Nuggets (4 pieces)	Chicken Nuggets	0	9
11.	McDonald’s	Small French fries	French Fries	0	2
12.	Burger King	Hamburger	Burger	6	11
13.	Burger King	Cheeseburger	Burger	7	13
14.	Burger King	WHOPPER Sandwich	Burger	11	26
15.	Burger King	Bacon and Cheese WHOPPER Sandwich	Burger	8	33
16.	Burger King	Double WHOPPER Sandwich	Burger	11	43
17.	Burger King	Double Bacon King	Burger	10	57
18.	Burger King	Chocolate Milk Shake	Milkshake	88	14
19.	Burger King	Tender crispy chicken sandwich	Breaded chicken sandwich	7	26
20.	Burger King	Tender grilled chicken sandwich	Grilled chicken sandwich	6	32
21.	Burger King	Chicken Nuggets (4 Pcs.)	Chicken Nuggets	0	8
22.	Burger King	French Fries small (salted)	French Fries	0	4
23.	Wendy’s	Jr. Hamburger	Burger	5	14
24.	Wendy’s	Jr. Cheeseburger	Burger	6	16
25.	Wendy’s	Dave’s single cheeseburger	Burger	10	30
26.	Wendy’s	½ Pound double w/cheese	Burger	10	48
27.	Wendy’s	¾ Pound Triple w/cheese	Burger	11	69
28.	Wendy’s	Baconator	Burger	9	57
29.	Wendy’s	Chocolate Frosty Shake (small)	Milk Shake	93	11
30	Wendy’s	Homestyle chicken sandwich breaded	Burger	8	29

Based on the data given, find the Null Hypothesis and Research Hypothesis using 0.05 for two tails.

Does fast food actually cause Obesity?

Eating fast food does not make one obese.

Is the sugar served in fast food restaurant responsible for heart disease?

Heart disease is not cause by sugar.

Find the correlation amount the two sets of data

Answer 1

1. Null Hypothesis (Ho): µ ? 3.1

Alternative Hypothesis (Ha): µ > 3.1

It is a right tailed test.

Test Statistics

Z = (X-bar - µ)/ (?/?n)

Z = (3.11 – 3.1)/ (0.05/?60)

Z = 1.55

Using Z-tables, the p-value is

P [Z > 1.55] = 0.06

Since p-value is greater than 0.025 level of significance, we fail to reject Ho.

2. Null Hypothesis (Ho):µ = 3.5

Alternative Hypothesis (Ha): µ ? 3.5

Test Statistics

Z = (X-bar - µ)/ (?/?n)

Z = (3.52 – 3.5)/ (0.08/?50)

Z = 1.77

Using Z-tables, the p-value is

P [Z ? 1.77] = 0.0767

Since p-value is less than 0.20 significance level, we reject Ho.

3. Test Statistic

Z = (X-bar - µ)/ (?/?n)

Z = (7.8- 9 )/ (4.8/?80)

Z = -2.236

Using Z-tables, the p-value is

P [Z < -2.236] = 0.0127

Since p-value is less than 0.10 significance level, we reject Ho.

The sample data support the claim that the population mean is less than 9.

Solution 4:

Test Statistic

t = (x-bar - µ)/ (s/?n)

t = (81 – 70.7)/ (11.3/?7)

t = 2.412

Degrees of freedom, df = n – 1= 7 – 1 = 6

Using t-tables, the p-value is

P [t (6) > 2.412] = 0.0262

Since p-value is greater than 0.001 significance level, we fail to reject Ho.

There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 70.7.