complete part c please The following data represents the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. 5.58 5.72 4.38 4.80 5.02 5.16 4.74 5.19 5.34 4.76 4.56 5.30 a) Determine a point estimate for the population mean. A point estimate for the population mean is 5.05 (Round to two decimal places as needed.) b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the blanks. (Use ascending order. Round to two decimal places as needed) There is 95% confidence that the population mean pH of rain water is between 4.79 and 5.31 (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the blanks to complete your choice. (Use ascending order. Round to two decimal places as needed.) A. There is a 99% probability that the true mean pH of rain water is between _ and __. B. If repeated samples are taken, 99% of them will have a sample pH of rain water between _ and _. C. There is 99% confidence that the population mean pH of rain water is between _ and ___.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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complete part c please

The following data represents the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers.

5.58 5.72 4.38 4.80

5.02 5.16 4.74 5.19

5.34 4.76 4.56 5.30

a) Determine a point estimate for the population mean.

A point estimate for the population mean is 5.05

(Round to two decimal places as needed.)

b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the blanks.

(Use ascending order. Round to two decimal places as needed)

There is 95% confidence that the population mean pH of rain water is between 4.79 and 5.31

(c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the blanks to complete your choice.

(Use ascending order. Round to two decimal places as needed.)

A. There is a 99% probability that the true mean pH of rain water is between _____ and ________.

B. If repeated samples are taken, 99% of them will have a sample pH of rain water between _____ and _____.

C. There is 99% confidence that the population mean pH of rain water is between _______ and _______.

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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