You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.2 and Sp₁ = 1.7.a. What is the value of tSTAT?b. At the a=0.05 level of significance, what are the critical values?c. Based on your answers to (a) and (b), what statistical decision should you make?d. Construct a 95% confidence interval estimate of the population slope, B₁.a. What are the hypotheses to test?A. Ho: B₁ =0H₁₁ #0OC. H₂: B₁0H₁: P=0*STAT=(Round to two decimal places as needed.)OB. HB, 20H₁: B₁<0OD. Ho: B₁ ≤0H₁: B₁>0

The question is about regression.Given :No. of observations in the sample ( n ) = 18Coefficient of…

Answered: You are testing the null hypothesis…

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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2. Which of the following statements defines the 97.5th percentile value for a data sample, regardless of the sample data distribution? The value that is 97.5% larger than the sample mean. The value such that 2.5% of the sample observations are larger than this value, and 97.5% of the sample observations are smaller than this value. The value such that 97.5% of the sample observations are larger than this value, and 2.5% of the sample observations are smaller than this value. This value always corresponds to the sample mean plus 2 standard deviations.
A standardized math test of fifth grade students produces a mean ?μ = 100 with a ?σ = 18. A sample of n = 36 students participated in "boost" training for their math skills. The sample M = 104 with S = 24. Did this "boost" training significantly improve students' math performance? Use ?α = .01.
For a special pre–New Year’s Eve show, a radio station personality has invited a small panel of prominent local citizens to help demonstrate to listeners the adverse effect of alcohol on reaction time. The reaction times (in seconds) before and after consuming four drinks are in data below. At the 0.005 level, has the program host made his point? Identify and interpret the p-value for the test. Data: Subject Before After 1 0.32 0.39 2 0.39 0.44 3 0.36 0.49 4 0.41 0.53 5 0.37 0.46 6 0.42 0.52 7 0.41 0.52 8 0.43 0.46 9 0.39 0.55 10 0.41 0.52 11 0.35 0.45 12 0.42 0.41 13 0.32 0.54 14 0.39 0.46 15 0.41 0.53 16 0.33 0.54 17 0.43 0.46 18 0.42 0.43 19 0.41 0.52 20 0.35 0.52 21 0.39 0.41 22 0.39 0.44 23 0.32 0.50 24 0.33 0.53 25 0.31 0.45 26 0.35 0.45 27 0.31 0.45 28 0.32 0.48 29 0.38 0.54 30 0.37 0.46 31 0.39 0.49 32 0.30 0.51 33 0.40 0.49 34 0.41 0.50 35 0.41 0.53 36 0.35 0.47 37 0.37 0.51 38 0.41 0.46
A study was undertaken to determine whether there was a significant weight (in lb) loss after one year course of therapy for diabetes, and whether the amount of weight (in lb) loss was related to initial weight. The following table gives the initial weight (x) and weight after one year of therapy (y) for 16 newly diagnosed adult diabetic patients. a. Is a one-sided or two sided test needed here? b. What is the mean weight for each time period? c. What is the standard deviation for each time period? d. Which statistical test is appropriate to use on these data? e. Carry out the hypothesis test(s) in question in above d. Use α=0.01 f. Are the means statistically different? g. Find the 99% confidence interval for the difference of the two means on weight. Interpret your finding.
A researcher hypothesizes that different colors of cars result in different average speeds. To test this claim, she took a random sample of 20 people who own 4 different colors of colors of cars (n = 20, N = 80, G = 4), and she then tracks their average speed on the highway for a week of driving. The following ANOVA table has some of her results. Please help her answer her research questions by completing the following ANOVA table below and answering the follow-up questions. Be sure to label your answers with the appropriate letter and show all your work! Source Sums of Squares df Mean Square F Effect (between) Error (within) 100.90 ------ Total 170.10 ------- ------ a) What is the Sums of Squares (SS) between (effect)? b) What are the Mean Square (MS) between (effect) and the MS within (error)? c) What are the degrees of freedom (df) between, the df within, and the df total? d) What is the overall F-statistic? e) Based on the…
Casey is a statistics student who is conducting a one-sample ?z‑test for a population proportion ?p using a significance level of ?=0.05α=0.05. Her null (?0H0) and alternative (??Ha) hypotheses are ?0:???:?=0.094≠0.094H0:p=0.094Ha:p≠0.094 The standardized test statistic is ?z = 1.20. What is the ?P-value of the test?
The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 450 peas with 117 of them having yellow pods. Find the value of the test statistic.
2. (MMC 6.43). The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Each score ranges from 0 to 200. The mean attitude score for U.S. college students is about 110, and the standard deviation is about 25. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 25 students who are at least 30 years of age. Their mean score is = 118.3. a. Assuming that o = 25 for the population of older students, carry out a test of Họ: H = Ha:u > 110 Report the P-value of your test and state your conclusion clearly. = 110 b. What are the required assumptions in part (a)?
Using an a = 0.05 significance level, what was the evidence for your answer to the previous question? O Because the p-value of the t-test for Experience is greater than 0.05, the analyst should not reject Ho: B₁ 0 so HA B10 is unsupported. This means that there is NO statistically significant relationship between Sales and Experience. = Because the p-value of the t-test for the Intercept is less than or equal to 0.05, the analyst should reject Ho: Bo 0 and accept HA Bo 0. This means that there is a statistically significant relationship between Sales and Experience. - O Because the p-value of the t-test for Experience is less than or equal to 0.05, the analyst should reject Ho: B1 = 0 and accept HA B1 0. This means that there is a statistically significant relationship between Sales and Experience. : O Because the p-value of the t-test for Experience is less than or equal to 0.05, the analyst should reject Ho: B1 = 0 and accept HA B1 0. This means that there is NO statistically…
The director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 338 No 317 349 287 What can be concluded at the a= 0.10 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: p1 p2 (please enter a decimal and note that p1 and μl represent the proportion and mean for women and p2 and 2 represent the proportion and mean for men.)
Two social scientists wanted to know if more violent crimes are committed when the temperature goes up. They measured the high temperature for each day during the year in Atlanta and compared the temperature for that day to the Police Department’s report for the number of violent crimes for that day. What statistical test should they use to analyze the data? a. Paired t-test b. Correlation c. One Way ANOVA d. Independent Samples t-test e. Chi Square Test of Independence
You wish to test the following claim (Ha) at a significance level of a = 0.02. For the context of this problem, d PostTest – PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your x1 and x2 are so that the differences are computed correctly.) H.: Hd Ha: Hd + 0 %3| You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 50.8 42.8 57.6 46.5 59.5 52.9 62.4 49.2 57.5 55.8 52.3 54.3 62.2 49.7 58.5 56.7 61.1 60.3 60.8 54.5 65.1 64 62.9 59 55.9 49.3 60.9 51.1 64.4 62.9 50.8 41.3 59 56.4 56.1 49 66 54 60.1 52.9 62.1 59.9 55.6 46.8 56.5 53 60.3 55 55 48.4 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.)

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