Estimate 24% of 33. a) 17 b) 12 c) 8 d) 2
1 answer:
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In a set of data, if the data is perfectly symmetrical then the mean is equal to the median. In this case, the median would be 50.
For example, consider the data set: {25, 50, 75}
The mean is going to be 50 because = 50
The median is also 50 because that is the middle number when ordered numerically.
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Complete Question
From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean length of bass caught in a small lake. A normal distribution was assumed. Using the 90% confidence interval obtain:
a. A point estimate of and its 90% margin of error.
b. A 95% confidence interval for .
Answer:
a
.
b
Step-by-step explanation:
From the question we are told that
The sample size is n = 18
The 90% confidence interval is (11.1, 15.7)
Generally the point estimate of is mathematically evaluated as
=>
Generally the margin of error is mathematically evaluated as
=>
From the question we are told the confidence level is 90% , hence the level of significance is
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Generally from the normal distribution table the critical value of is
Generally the equation for the lower limit of the confidence interval is
=>
=>
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>