The amount of sugar in a Krispy Kream glazed donut is 10 g. Many people feel that cereal is a healthier alternative for children over glazed donuts. The table below contains the amount of sugar in a sample of cereals that are geared towards children. Is there enough evidence to show that the mean amount of sugar in children's cereal is higher than in a glazed donut? Test at the 2% level.
The amount of sugar in a Krispy Kream glazed donut is 10 g. Many people feel that cereal is a healthier alternative for children over glazed donuts. The table below contains the amount of sugar in a sample of cereals that are geared towards children. Is there enough evidence to show that the mean amount of sugar in children's cereal is higher than in a glazed donut? Test at the 2% level.
amount of sugar in g |
---|
9 |
10 |
11 |
13 |
13 |
12 |
13 |
12 |
14 |
9 |
9 |
13 |
12 |
8 |
15 |
9 |
9 |
14 |
11 |
12 |
11 |
18 |
8 |
12 |
12 |
12 |
P: Parameter
What is the correct parameter symbol for this problem?
What is the wording of the parameter in the context of this problem?
H: Hypotheses
Fill in the correct null and alternative hypotheses:
H0:H0: g
HA:HA: g
A: Assumptions
Since information was collected from each object, what conditions do we need to check?
Check all that apply.
- np≥10np≥10
- outliers in the data
- n≥30n≥30 or normal population
- no outliers in the data
- σσ is known
- σσ is unknown
- n(1−p)≥10n(1-p)≥10
- N≥20nN≥20n
Check those assumptions:
1. Is the value of σσ known?
2. Given the following modified boxplot (If using a screenreader, use technology to generate a boxplot, then asnwer the question below):
Are there any outliers?
3. nn = which is
Is it reasonable to assume the population is
N: Name the test
The conditions are met to use a .
T: Test Statistic
The symbol and value of the random variable on this problem are as follows:
= g
The test statistic formula set up with numbers is as follows:
Round values to 2 decimal places.
t=¯¯¯X−μs√n=t=X¯-μsn=
(((( −- )) // /√/ ))))
The final answer for the test statistic from technology is as follows:
Round to 2 decimal places.
t =
O: Obtain the P-value
Report the final answer to 4 decimal places.
It is possible when rounded that a p-value is 0.0000
P-value =
M: Make a decision
Since the p-value , we .
S: State a conclustion
There significant evidence to conclude g
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