To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains thefollowing data. Are sons taller than their fathers? Use the α = 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normallydistributed with no outliers.Click here to view the table of data.Click here to view the table of critical t-values.Which conditions must be met by the sample for this test? Select all that apply.A. The sampling method results in a dependent sample.B. The sampling method results in an independent sample.C. The sample size is no more than 5% of the population size.D. The differences are normally distributed or the sample size is large.E. The sample size must be large.Let d₁=X; - Y₁. Write the hypotheses for the test.Ho: Hd=0H₁: Hd <0Calculate the test statistic.to = -0.04 (Round to two decimal places as needed.)Identify the critical value(s) for this test. Select the correct choice below and fill in all answer boxes within your choice.(Round to two decimal places as needed.)OA. t=OB. ta/2=OC. -ta=←..or -ta/2=Table of height dataHeight ofFather, X₁68.370.971.369.667.173.168.168.366.572.770.768.173.2PrintHeight Dof Son, Y₁73.474.573.971.468.273.868.267.865.370.968.364.568.1Done

Given that,number of pairs is 13.n = 13From the alternative hypothesis, the test is left tailed…

Answered: To test the belief that sons are taller…

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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Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.
Patients with two kinds of diagnoses were randomly assigned to one of three types of therapy and the effectiveness of the therapy was measured on a 1-to-15 scale (with a higher number indicating greater effectiveness). There were two patients per cell. Use the data available below to complete parts through (d) below. Click the icon to view the data table. Click here to view page 1 of the table of cutoff values for the F distribution. Click here to view page 2 of the table of cutoff values for the F distribution. Click here to view page 3 of the table of cutoff values for the F distribution. Click here to view page 4 of the table of cutoff values for the F distribution. (a) Carry out the analysis of variance (use the 0.05 significance level). Complete the analysis of variance table for the data set below. SS MS Source Columns Rows Interaction Within Total (Round to two decimal places as needed.) df F Data Table Diagnosis Diagnosis II Therapy A 5 1 11 7 Print Therapy B 7 5 12 Done…
Patients with two kinds of diagnoses were randomly assigned to one of three types of therapy and the effectiveness of the therapy was measure a 1-to-15 scale (with a higher number indicating greater effectiveness). There were two patients per cell. Use the data available below to comple parts (a) through (d) below. Click the icon to view the data table. Click here to view page 1 of the table of cutoff values for the F distribution. Click here to view page 2 of the table of cutoff values for the F distribution. Click here to view page 3 of the table of cutoff values for the F distribution. Click here to view page 4 of the table of cutoff values for the F distribution (a) Carry out the analysis of variance (use the 0.05 significance level). Complete the analysis of variance table for the data set below. SS MS F Source Columns Rows Interaction Within Total (Round to two decimal places as needed.) Data Table Diagnosis I Diagnosis II Therapy A 5 1 7 Print Therapy B 7 12 Done Therapy C 4282…
On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 13 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.4, 7.5, 7.9, 5.7, 5.9, 8.1, 4.8, 8.7, 6.8, 5.9, 8.2, 5.1, 5.1 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Correct The alternative hypothesis would be: H1:H1: Correct Correct Correct The test statistic Correct = (please show your answer to 3 decimal places.) Based on this, we should Correct the null hypothesis. Thus, the final conclusion is that ...
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
what proportation of a normal distribution is located between each of the following z-score boundaries? a. z=-1.64 and z=+1.64 b. z=-1.96 and z=+1.96 c. z=-1.00 and z=+1.00
A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 level of significance? Full data set O Carpeted 14.3 9.8 10.7 12.2 Uncarpeted 9.5 9.5 10.9 2.1 15 3 15.8 5.4 6.4 15.2 4.3 10.6 - X Student t-distribution Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 0.816 0.765 0.741 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 6.314 2.920 2.353 2.132 12.706 4.303 3.182 2.776 2.571 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.32 1 14.089 7453 5.598 318.309 636.619 31.599 12.924 8.610 6.869 22.327…
The Mathematics section of the ACT test had a mean of 20.9 and an SD of 5.3 for the years 2013–2015. Suppose these are well modeled by a Normal distribution. a) About what percent of students scored over 33? b) About what percent of students scored under 16? c) About what percent of students scored between 16 and 33?

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