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 |
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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
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