The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. The standard deviation of this dat
a is , and % of the data is either less than 4.2 or more than 11.4.
1 answer:
The rule sometimes called the Empirical Rule, which means "based on observations" The graph is shown this way : (see attachment). This rule is represented by a<span><span>bout 68% of values fall within one standard deviation of the mean.</span>About 95% of the values fall within two standard deviations from the mean.<span>Almost all of the values — about 99.7% — fall within three standard deviations from the mean.</span></span>
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Answer:
The sampling distribution of is:
.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The study was conducted using the data from 15,000 students.
Since the sample size is so large, i.e. <em>n</em> = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.
So, the sampling distribution of is:
.