Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homewo
rk and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?
1 answer:
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Answer:
Mean $1060
Standard error $34.69
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, which is also called standard error,
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Mean $1,060 and standard deviation $190.
Sampling distriution of samples of size 30:
Mean $1060
Standard deviation