Answered: . A study is run to estimate the mean…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

See similar textbooks

Related questions

Question

1. A study is run to estimate the mean total cholesterol level in children 9-11 years of age. A random sample of 169 participants is selected and their mean total cholesterol levels is 161.5. Assume the population standard deviation is 19.5. Give the following information for a 95% confidence interval for the mean cholesterol.

1. The value for Z or t and how you found it.
2. The confidence interval equation filled in.
3. The calculation of the Standard Error
4. The calculation of the Margin of Error
5. The upper and lower limits
6. An interpretation of the confidence interval

2. A random sample of 25 ten-year-old girls had a mean weight of 73.5 and a standard deviation of 10 pounds. Give the following information for a 90% confidence interval for the mean weight.

3. In a test of H0: µ=27 against HA: µ ≠ 27, using α=.05, you get a 95% confidence interval with a lower limit of 26.7 and an upper limit of 28.3. What is your conclusion?

a. fail to reject the null hypothesis. b. reject the null hypothesis. c.no enough information

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 + ...

Expert Solution