How do you interpret the confidence interval. Select all that apply.We are 95% confident that the population mean mercury content of Croaker white fish (pacific) is within the confidence interval. The confidence interval was calculated using a method that gives correct answers 95% of the time. There is a 95% probability that the sample mean mercury content of Croaker white fish (pacific) is within the confidence interval. We are confident that 95% of Croaker white fish (pacific) have mercury content within the confidence interval. The FDA's webpage provides some data on mercury content of fish. Based a sample of 15 croaker white fish (Pacific), a sample mean and standard deviation mercury content werecomputed as 0.287 and 0.069 (µg/g), respectively. The fish is considered a good choice for consumption.What is the standard error of the mean mercury content of the 15 croakers?0.0046 µg/g0.287 µg/g0.069 µg/g0.0178 µg/g Construct a 95% t confidence interval for the population mean mercury content of all croaker white fish (Pacific).0.287 +0.135 µg/g0.287 + 0.038 µg/g0.287 ± 0.148 µg/g0.287 + 0.035 µg/g

Solution: Given that, sample size n=15, sample mean x¯=0.287 and standard deviation s=0.069 then standard error of sample mean se(x¯)=sn=0.06915se(x¯)=0.0178 μg/ggiven that, confidence level 1-α=0.90α=0.10 and df=n-1df=15-1 df=14 now using EXCEL formula to find t critical value as =T.INV.2T(0.05,14) we get t=2.14now 95% confidence interval for the population mean mercuray content of all croaker white fish is given by=x¯±t×se(x¯)=0.287±2.14×0.0178=0.287±0.038now 95% confidence interval for the population mean mercuray content of all croaker white fish is given by=x¯±t×se(x¯)=0.287±2.14×0.0178=0.287±0.038=(0.252 , 0.3250that is we are 95% confidence that our true population mean lies between the interval.hence correct answer is , We are 95% confident that the population mean mercury content of Croaker white fish (pacific) is within the confidence interval.

Answered: How do you interpret the confidence…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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How do you interpret the confidence interval. Select all that apply.

We are 95% confident that the population mean mercury content of Croaker white fish (pacific) is within the confidence interval.

The confidence interval was calculated using a method that gives correct answers 95% of the time.

There is a 95% probability that the sample mean mercury content of Croaker white fish (pacific) is within the confidence interval.

We are confident that 95% of Croaker white fish (pacific) have mercury content within the confidence interval.

The FDA's webpage provides some data on mercury content of fish. Based a sample of 15 croaker white fish (Pacific), a sample mean and standard deviation mercury content were
computed as 0.287 and 0.069 (µg/g), respectively. The fish is considered a good choice for consumption.
What is the standard error of the mean mercury content of the 15 croakers?
0.0046 µg/g
0.287 µg/g
0.069 µg/g
0.0178 µg/g

Construct a 95% t confidence interval for the population mean mercury content of all croaker white fish (Pacific).
0.287 +0.135 µg/g
0.287 + 0.038 µg/g
0.287 ± 0.148 µg/g
0.287 + 0.035 µg/g

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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