Question

In: Statistics and Probability

Why does the standard deviation change when a sample is taken and questions about the sample...

Why does the standard deviation change when a sample is taken and questions about the sample mean are asked and why does this happen in reference to sampling distributions?

Solutions

Expert Solution

thank you.


Related Solutions

A sample of size 81 is taken from a population with unknown mean and standard deviation...
A sample of size 81 is taken from a population with unknown mean and standard deviation 4.5.   In a test of H0: μ = 5 vs. Ha: μ < 5, if the sample mean was 4, which of the following is true? (i) We would fail to reject the null hypothesis at α = 0.01. (ii) We would fail to reject the null hypothesis at α = 0.05. (iii) We would fail to reject the null hypothesis at α =...
The width of a confidence interval will be: A) Wider when the sample standard deviation is...
The width of a confidence interval will be: A) Wider when the sample standard deviation is small than when s is large B) Narrower for 95% confidence than 99% confidence C) Narrower for 95% confidence than 90% confidence C) Wider for a sample size of 100 for a sample size of 50
Why is the standard deviation of the bootstrapped distribution smaller than that of the sample?
Why is the standard deviation of the bootstrapped distribution smaller than that of the sample?
Hello experts. does the square of the standard deviation or average(mean) make a change in the...
Hello experts. does the square of the standard deviation or average(mean) make a change in the calculation? Please show your work Labels on 3.79 litre cans of paint usually indicate the drying time and the area that can be covered in one coat. Most brands indicate that, in one coat, 3.79 L will cover between 23.2 and 46.4 square metre, depending on the texture of the surface to be painted. One manufacturer claims that 3.79L of its paint will cover...
Why is important to perform a hypothesis test about a standard deviation?
Why is important to perform a hypothesis test about a standard deviation?
The formula for a sample Standard Deviation is Say we want to use standard deviation as...
The formula for a sample Standard Deviation is Say we want to use standard deviation as a way of comparing the amount of spread present in each of two different distributions. What is the effect of squaring the deviations? (1 mark) How does this help us when we compare the spreads of two distributions? (1 mark) With reference to the formula and the magnitude of data values, explain why introducing an outlier to a dataset affects the Standard Deviations more...
A sample standard deviation and sample size are given. Use the one-standard-deviation χ2-interval procedure to obtain...
A sample standard deviation and sample size are given. Use the one-standard-deviation χ2-interval procedure to obtain the specified confidence interval. s = 4, n = 11 , 95% confidence interval a) 2.795 to 3.51 b) 0.618 to 3.896 c) 2.956 to 6.373 d) 2.795 to 7.02
Item Sample Mean 1 Population standard deviation of 1 n1 Sample Mean 2 Population Standard Deviation...
Item Sample Mean 1 Population standard deviation of 1 n1 Sample Mean 2 Population Standard Deviation 2 n2 7 18 6 169 12 12 121 0.01 Perform a Two-tailed hypothesis test for two population means.
The standard deviation alone does not measure relative variation. For example, a standard deviation of $1...
The standard deviation alone does not measure relative variation. For example, a standard deviation of $1 would be considered large if it is describing the variability from store to store in the price of an ice cube tray. On the other hand, a standard deviation of $1 would be considered small if it is describing store-to-store variability in the price of a particular brand of freezer. A quantity designed to give a relative measure of variability is the coefficient of...
Is the standard deviation affected by a sample size increasing?
Is the standard deviation affected by a sample size increasing?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT