two brands of potato chips reduced the fat content of their chips . brand a had 8 grams of fat per savings and reduced fat by 30
1 answer:
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Answer:
a)
b)
And we can find this probability like this:
c)
And we can find this probability like this:
d)
So then since this probability is very near to 0 we can conclude that is a vert rare event obtain a sample mean greater than 6.5
Step-by-step explanation:
For this case let X the time spent per week playing organized sports and we knwo that:
And we select a sample of n=121 students
Part a
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean is also normal and is given by:
So then the standard error is
Part b
For this case we want to find this probability:
And we can use the z score formula given by:
And using this formula we got:
And we can find this probability like this:
Part c
For this case we want to find this probability:
And we can use the z score formula given by:
And using this formula we got:
And we can find this probability like this:
Part d
For this case we can find
Using the z score and the complement rule we have this:
So then since this probability is very near to 0 we can conclude that is a vert rare event obtain a sample mean greater than 6.5