Question

Test the hypothesis that most cereals have nine or less grams of SUGAR per serving. Use the attached cereal sample and a significance level of .05

Sugars

6

8

5

0

8

10

14

8

6

5

12

1

9

7

13

3

2

12

13

7

0

3

10

5

13

11

7

10

12

11

10

6

9

3

13

7

10

14

0

0

Answer 1

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Answer:

For the given data we find the mean and standard deviation using excel ( AVERAGE AND STDEV.S )

	Sugars
	6
	8
	5
	0
	8
	10
	14
	8
	6
	5
	12
	1
	9
	7
	13
	3
	2
	12
	13
	7
	0
	3
	10
	5
	13
	11
	7
	10
	12
	11
	10
	6
	9
	3
	13
	7
	10
	14
	0
	0
Mean	7.575
SD	4.2720769

Ho: <= 9

Ha: > 9

z = xbar -u/(SD/sqrt(n))

= 9 -7.575/(4.272/sqrt(4))

= 2.11

For P(z<7.575)

= 0.98256

As the p-value > LOS of 0.05

We cannot reject the null hypothesis and conclude that most cereals have nine or less grams of SUGAR per serving