answer each of the three questions. Choose only one confidence interval calculator for each problem. Confidence Interval for means with the Population Standard deviation σ Known Confidence Interval for means with the Population Standard Deviation σ UnKnown Confidence Intervals for Population Proportions NOTE: The Calculators are NOT in the same order as the questions below. Once you’ve chosen a correct calculator for each exercise, fill in the yellow cells with the information from the exercise and the green cells are the solutions. For the Confidence interval, use decimal rather than percentages. For example 90% is 0.90 Give your final answer to 2 decimal places. ---------------------------------------------------------------------------------------------------------------------------- Out of 100 adults surveyed in a small town, 44 had at least one child. Based on this, construct a 80% confidence interval for the true population proportion of people with at least one child. Give the answer in the form of a confidence statement. (Example: With 99% confidence, we can say the true population proportion of people with at least one child is in between_ and _.) You measure 42 dogs' weights from a special breed, and find they have a mean weight of 108 ounces. Assume the population standard deviation is 5.6 ounces. Based on this, construct a 99% confidence interval for the true population mean dog weight. Give the answer in the form of a confidence statement. In a survey, 73 parents were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $40.75 and standard deviation of $3.23. Find the confidence interval at a 95% confidence level. Give the answer in the form of a confidence statement.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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answer each of the three questions. Choose only one confidence interval calculator for each problem.

Confidence Interval for means with the Population Standard deviation σ Known
Confidence Interval for means with the Population Standard Deviation σ UnKnown
Confidence Intervals for Population Proportions

NOTE: The Calculators are NOT in the same order as the questions below. Once you’ve chosen a correct calculator for each exercise, fill in the yellow cells with the information from the exercise and the green cells are the solutions. For the Confidence interval, use decimal rather than percentages. For example 90% is 0.90

Give your final answer to 2 decimal places.

----------------------------------------------------------------------------------------------------------------------------

Out of 100 adults surveyed in a small town, 44 had at least one child. Based on this, construct a 80% confidence interval for the true population proportion of people with at least one child. Give the answer in the form of a confidence statement.

(Example: With 99% confidence, we can say the true population proportion of people with at least one child is in between_____ and _____.)

You measure 42 dogs' weights from a special breed, and find they have a mean weight of 108 ounces. Assume the population standard deviation is 5.6 ounces. Based on this, construct a 99% confidence interval for the true population mean dog weight. Give the answer in the form of a confidence statement.

In a survey, 73 parents were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $40.75 and standard deviation of $3.23. Find the confidence interval at a 95% confidence level. Give the answer in the form of a confidence statement.

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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