How much should Lauren, earning 7.80 an hour, make working a 44-hour week?
1 answer:
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Answer:
d. 200 and 2
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
Mean = 200
Standard deviation = 18
Sample size: 81
Standard error:
So the correct answer is:
d. 200 and 2
Answer:
Erin made 5.5 dozen cookies.
Step-by-step explanation:
Total cookies made by Kim, Mary and Erin = 24 dozen cookies
Let Erin make cookies = x dozens
Mary made cookies = 2x dozens
Kim made cookies = x+2 dozens
Now, we need to find how many cookies did Erin made.
We can write:
Solving the equation we get:
So, Erin made cookies = x = 5.5 dozens
Mary made cookies = 2x =2(5.5) = 11 dozens
Kim made cookies = x+2 =5.5+2 = 7 dozens
Therefore, Erin made 5.5 dozen cookies.