A consumer believes that a certain potato chip maker is putting fewer chips in their regular bags of chips than the advertised a
1 answer:
Answer:
a) No
b) No
c) P value is more than 0.05.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 12 ounces
Sample size, n = 49
P-value = 0.136
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
a) Alpha, α = 0.05
Since, p-value > α,
The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.
b) Alpha, α = 0.10
Since, p-value > α,
The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.
c) The evidence is statistically significant at the .05 level means that the p value is more than 0.05.
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<em>Note: You may have missed to add the dot plots chart, so I found the chart after a little research and hence, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.</em>
Answer:
''The median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.
Step-by-step explanation:
Data for students from the dot plot in order
Calculating Median for students:
0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4
As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 2 and 2, so the median is the average of these two numbers:
Median = (2+2)/2
=4/2
= 2
Data for teachers from the dot plot in order
Calculating Median for teachers:
0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8
As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 3 and 3, so the median is the average of these two numbers:
Median = (3+3)/2
=6/2
= 3
Therefore, ''the median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.
Answer:
The real roots are
and
The sum of the squares of these roots is
Step-by-step explanation:
The given quadratic equation is has two real roots.
To find the roots .
Dividing the above equation by 2
For quadratic equation the solution is
Where a and b are coefficents of and x respectively, c is a constant.
For given quadratic equation
a=4, b=6, c=-7
The real roots are
and
Now to find the sum of the squares of these roots
Therefore the sum of the squares of these roots is