Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 15, Problem 41CR
Consider the accompanying data on plant growth after the application of different types of growth hormone.
a. Carry out the F test at level α = 0.05.
b. What happens when the T-K procedure is applied? (Note: This “contradiction” can occur when H0 is “barely” rejected. It happens because the test and the multiple comparison method are based on different distributions.)
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Riboflavin (Vitamin B2) is determined in a cereal sample by measuring its fluorescence intensity(형광세기) in 5% acetic acid solution. A calibration curve was prepared by measuring the fluorescence intensities of a series of standards of increasing concentrations. The following data were obtained.
Riboflavin (μg/mL)
0.000
0.100
0.200
0.400
0.800
Unknown sample
Fluorescence intensity
0.0
5.8
12.2
22.3
43.3
15.4
(a) Use the method of least squares to obtain the best straight line through these five points (n=5).
(b) Make a graph showing the experimental data and the calculated straight line.
(c) An unknown sample gave an observed fluorescence intensity of 15.4.
Calculate the concentration of Riboflavin (Vitamin B2) in the unknown sample (μg/mL).
(d) Calculate the coefficient of determination (R2).
Number 2 pls.
Below is my hypothesis:
H0 - The frequency of fast food consumption has no effect on obesity.H1 - The frequency of fast food consumption has a negative effect on obesity.Here we need to compare people who order fast food very frequently with the ones who order less frequently
The column fast-food frequency has values 0 to 99
Obesity is my target variable which shows 1 - if the person is obese, 0 - if not.
Which statistical test can I use to work on my hypothesis? Please help! I have a submission.
Chapter 15 Solutions
Introduction to Statistics and Data Analysis
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Prob. 2ECh. 15.1 - Employees of a state university system can choose...Ch. 15.1 - The accompanying summary statistics for a measure...Ch. 15.1 - The authors of the paper Age and Violent Content...Ch. 15.1 - The paper referenced in the previous exercise also...Ch. 15.1 - The Paper Womens and Mens Eating Behavior...Ch. 15.1 - Can use of an online plagiarism-detection system...Ch. 15.1 - The experiment described in Example 15.4 also gave...Ch. 15.1 - Prob. 10E
Ch. 15.1 - Prob. 11ECh. 15.1 - Prob. 12ECh. 15.1 - In an experiment to investigate the performance of...Ch. 15.2 - Leaf surface area is an important variable in...Ch. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - The paper referenced in Exercise 15.5 described an...Ch. 15.2 - Prob. 19ECh. 15.2 - The accompanying data resulted from a flammability...Ch. 15.2 - Do lizards play a role in spreading plant seeds?...Ch. 15.2 - Samples of six different brands of diet or...Ch. 15.3 - A particular county employs three assessors who...Ch. 15.3 - The accompanying display is a partially completed...Ch. 15.3 - With the use of biofuels increasing, investigators...Ch. 15.3 - Prob. 26ECh. 15.3 - Prob. 27ECh. 15.3 - Prob. 28ECh. 15.4 - Prob. 29ECh. 15.4 - The paper Feedback Enhances the Positive Effects...Ch. 15.4 - The following graphs appear in the paper Which...Ch. 15.4 - The behavior of undergraduate students when...Ch. 15.4 - Prob. 33ECh. 15.4 - The following partially completed ANOVA table...Ch. 15.4 - Prob. 35ECh. 15.4 - Prob. 36ECh. 15.4 - Prob. 37ECh. 15 - Suppose that a random sample or size n = 5 was...Ch. 15 - Parents are frequently concerned when their child...Ch. 15 - Prob. 40CRCh. 15 - Consider the accompanying data on plant growth...Ch. 15 - Prob. 42CRCh. 15 - Prob. 43CRCh. 15 - Prob. 44CRCh. 15 - Prob. 45CRCh. 15 - Prob. 46CRCh. 15 - Prob. 47CRCh. 15 - Prob. 48CRCh. 15 - Prob. 49CR
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 26 The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At α=0.01, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, that the samples are independent of each other, and that the populations have the same variances. Very good stain removal Good stain removal Fair stain removal 0.37 0.75 0.60 0.49 2.66 1.18 0.33 0.46 0.46 1.64 0.33 0.50 0.58 0.41 1.39 (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is ____ and the degrees of freedom for the denominator, d.f.D, is _____ The critical…arrow_forwardIs there a relationship between (X) rate of poverty (measured as a percent of population below poverty level) and (Y) rates of teen pregnancy (measured per 1,000 females aged 15 to 17)? A researcher selected random states and collected the following data. The correlation coefficient between was 0.98. Determine whether the correlation is significant. Use the correlation test statistics. Compute the appropriate test statistics. The degree of freedom is 6 and alpha at 0.05.arrow_forwardIn a test of H0: p = 0.4 against H1: p ≠ 0.4, a sample of size 100 produces Z = 1.28 for the value of the test statistic. Thus the p-value (or observed level of significance) of the test is approximately equal to:arrow_forward
- 1. A sample of data is collected from a group of college students (X = 112, Sx = 12, N = 58). It is hypothesized that members of this group have higher test scores than the general population (u = 100, o = 15). What test do you conduct? Don't do the test, just name the test and list the relevant equation for the test statistic. %3Darrow_forward4arrow_forwardConstruction costs in East LA is not cheap. You want to build a simple cost estimator for construction costs, and you hope to find a useful linear relationship between cost (y) and floor space (x). You have data from a sample of four recently completed building projects: A. Since stat is not outside the critical values of ‡4.303, we can't reject the B=0 null hypothesis. B. Since stat is not outside the critical values of +2.182, we can't reject the B=0 null hypothesis C. Since stat is outside the critical values of ‡4.362, we can reject the B=0 null hypothesis. D. Since tstat is outside the critical values of +_3.182, we can reject the B=0 null hypothesisarrow_forward
- A farmer wants to test the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries. Out of a random sample of 100 blooms, 67 yield marketable strawberries. Specifically, he wants to test know if there is sufficient evidence that more than three-fourths of all blooms grown with this pest control method end up as marketable strawberries. The value of the statistic for this test is z=-1.85. Which of the following is the is the approximate p-value to the nearest thousandth for this test?arrow_forwardA dependent-samples t-test and an independent-samples t-test both produced a t statistic with df = 16. How many individuals participated in each research study? a. 17 for dependent-samples and 17 for independent-samples b. 18 for dependent-samples and 18 for independent-samples c. 18 for dependent-samples and 17 for independent-samples d. 17 for dependent-samples and 18 for independent-samplesarrow_forwardManufacturer A B C D 25 23 25 26 23 21 25 27 21 23 25 26 23 24 21 24 To test whether the mean time to mix a batch of adhesive is the same for machines produced by four manufacturers, TiteBondMax obtained DATA on the time (minutes) needed to mix the materials. Test whether the machines have equal mean mixing time at α = 0.05. Question 16 options: None of the answers are correct. The data provide weak evidence against H0: Equal means at pvalue 0.072. Equality of means remains plausible. The data provide strong evidence against H0: Equal means at pvalue 0.013. The mixing machines are not all equal. The data provide insignificant evidence against H0: Equal means at pvalue 0.514. The machine are considered equal. The data provide extreme evidence against H0: Equal means at pvalue 0.001. The mixing machines are not all equal. The pvalue 0.0001 is extreme evidence that the machines are not all the same.arrow_forward
- 16.17 In an experiment comparing four diets (treatments), the weight gain y (pounds per day) of pigs was recorded along with two covariates, initial age x₁ (days) and initial weight x2 (pounds). The data are presented in Table 16.11. (a) Using (16.67), (16.68), and (16.69), find Ex, exy, and eyy. Find B. (b) Using (16.77), (16.81), and (16.82), find SSEyr, SST.x, and SS(alu, B). Then test Ho: a₁ = ₂ = a3 = a4, adjusted for the covariates, using the F statistic in (16.83). (c) Test Ho: B = 0 using (16.84). (d) Find B₁, B₂, B3, and 4 using (16.88). Find SSE(F), and SSE(R)y.x using (16.86) and (16.87). Test Ho: B₁ B₂ B3 B4 using (16.89). X1 X2 y X1 78 61 1.40 78 90 59 1.79 99 94 76 1.72 80 71 50 1.47 75 1.26 94 1.28 91 1.34 75 1.55 63 1.57 62 1.26 TABLE 16.11 Initial Age x₁, Initial Weight x2, and Rate of Gain y of 40 Pigs Treatment 1. Treatment 2 Treatment 3 Treatment 4 99 61 80 54 83 57 75 45 62 41 67 40 X2 y X1 74 1.61 78 75 1.31 83 64 1.12 79 48 1.35 70 1.29 85 1.24 83 1.29 1.43 1.29…arrow_forwarda. What value of R2 is required so that a regression with five independent variables is significant if there are 30 observations? (hine use the 0.05 critical value for F (5, 24) b. answer part a if there are 500 observations. C. what do these results tell us about hte R2 statistic?arrow_forwardAn engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At α=0.05, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 443 376 431 439 398 368 360 Conventional 392 392 400 425 372 370 439 366 392 381 (a) Identify the claim and state H0 and Ha. The claim is "The new treatment makes a difference makes a difference does not make a difference in the tensile strength of the bars." What are H0 and Ha? The null hypothesis, H0, is mu 1 equals mu 2μ1=μ2 mu 1 equals mu 2μ1=μ2 mu 1 less than or equals mu 2μ1≤μ2 mu 1 greater than or equals mu 2μ1≥μ2 . The…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License