Answered: 10) The weight of a standard poodle is…

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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The weight of a standard poodle is 50 pounds with a standard deviation of 15 pounds. If a poodle is underweight, they can have some very serious health issues, so it is important to get them seen by a vet if they are underweight. If a vet suspects that they are underweight, they will put them on a special food diet that will help them gain weight. A veterinarian medicine researcher has developed a new weight gain diet food and is conducting a completely randomized design. She puts 12 underweight poodles in the treatment group and 12 underweight poodles in the control group. The treatment group gets the new weight gain diet food while the control group gets the current weight gain diet food. At the end of the study, the weight gain in the treatment group was 12 pounds with a standard deviation of 3 pounds, and the weight gain in the control group was 8 pounds with a standard deviation of 3.5 pounds. Which of the following intervals successfully captures the p-value? (A) Below 0.01 (B) Between 0.01 and 0.025 (C) Between 0.025 and 0.05 (D) Between 0.05 and 0.10 (E) Over 0.10 14) A 90% confidence interval is created to capture the true population mean. The interval is (50, 70). A two-sided t-test for the population mean is conducted for Morul = 55. Which of the following can be concluded about the test at a significance level of a = - 0.10? (A) The p-value is less than 0.10, and Ho should be rejected. (B) The p-value is less than 0.10, and Ho should not be rejected. (C) The p-value is greater than 0.10, and Ho should be rejected. (D) The p-value is greater than 0.10, and Ho should not be rejected. (E) There is not enough information given to make a conclusion about the p-value and Ho. 15) A large country club releases their monthly newsletter and claims that the average income of their members is $134,000. You suspect that they are exaggerating this income level and decide to conduct a hypothesis test. You select a SRS of 32 members and ask them what their income level is. The sample mean is $132,230 and the sample standard deviation is $5,335. In the one-sided hypothesis test, which of the following intervals contains the P-value? (A)P<0.01 (B) 0.01 0.10 16) A curious AP Statistics student wishes to estimate how many trees are in the US. She divides u the United States into I mile by 1 mile plots of land. She randomly selected 40 of these plots and uses aerial satellite shots to calculate the percentage of each plot that is covered by trees. The average coverage of trees was 58.5% with a standard deviation of 6.5%. Which of the following represents a 95% confidence interval to estimate the average tree coverage in the United States? (A) 0.585 + 1.96(0.065/V39) (B) 0.585 +2.052(0.065/739) (C) 0.585 +2.052(0.065/540) (D) 0.585 + 1.96(0.065/540) (E) 0.585 +2.052, (0.585)(0.415)/40 17) When conducting a one-sample test for a population mean, which of the follow is the reason why we would use a z-test statistic instead of a t-test statistic? (A) There are no outliers in the sample data. (B) The population distribution is exactly normal. (C) The sample size is above 30. (D) The sample size is above 10% of the population size, (E) The population standard deviation is known.

10) The weight of a standard poodle is 50 pounds with a standard deviation of 15 pounds. If a
poodle is underweight, they can have some very serious health issues, so it is important to get them seen by a
vet if they are underweight. If a vet suspects that they are underweight, they will put them on a special food diet
that will help them gain weight. A veterinarian medicine researcher has developed a new weight gain diet food
and is conducting a completely randomized design. She puts 12 underweight poodles in the treatment group and
12 underweight poodles in the control group. The treatment group gets the new weight gain diet food while the
control group gets the current weight gain diet food. At the end of the study, the weight gain in the treatment
group was 12 pounds with a standard deviation of 3 pounds, and the weight gain in the control group was 8
pounds with a standard deviation of 3.5 pounds. Which of the following intervals successfully captures the p-
value?
(A) Below 0.01
(B) Between 0.01 and 0.025
(C) Between 0.025 and 0.05
(D) Between 0.05 and 0.10
(E) Over 0.10

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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