Answers:1.a) rXY = 0.461, t = 1.272, Do not reject H0: no evidence for a significant correlation between the two variablesb) 43.66 1. Verbal ability consists of at least two components: verbal comprehension (e.g., reading ability) and verbal fluency (e.g.,writing ability). A researcher measures these two components in a sample of 8 seventh-grade children and obtains thefollowing scores:Comprehension Fluency.7442 48 52 76 695775624046383654425025a) Is there a significant correlation between the two variables (a ≤.05)?b) If another seventh-grader obtained a verbal comprehension score of 70, what would his or her predicted verbal fluencyscore be?

The given two components are verbal comprehension and verbal fluency.

Answered: 1. Verbal ability consists of at least…

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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Answers: 1. a) χ2 = 4.112, do not reject H0: gender and age of contracting the disease are independent; b) χ2 = 14.03, reject H0: the data do not support the researcher's beliefs; c) χ2 = 2.068, do not reject H0: it appears that this belief is not supported (there is no evidence to suggest that the belief is correct).
1:10 O b A O "Q. * a E (19 For numbers 1 to 3: The thermal condition in a cave is critical for sustaining a bat population. A sudden change in the temperature is related to deaths of bats in hundreds. An attempt to measure the degree of association between the temperature (in °C) and death toll (number of deaths) was done using 20 caves with reported cases of massive death among bats. Assume that temperature and death toll are bivariate normal. Given below is the R software output: > cor.test(temp , death) Pearson's product-moment correlation data: temp and death t - -1.4403, df - 148, p-value - 0.1519 alternative hypothesis: true correlation is not equal to e 95 percent confidence interval: -0.27269325 0.04351158 sample estimates: cor -0.1175698
Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). Brand Price ($) Score A 180 76 В 150 69 C 95 63 70 54 E 70 38 F 35 24 (a) The estimated regression equation for this data is ŷ 21.258 + 0.327x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use a = 0.05. State the null and alternative hypotheses. Ho: B1 + 0 Ha: B1 Ho: B1 Ha: B1 + 0 = 0 O Ho: Po = 0 Ha: Bo + 0 O Ho: B1 2 0 Ha: B1 < 0 O Ho: Po + 0 Hai B = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value
Use the following data to answer question 8 - 12. A number of studies have claimed evidence that the first-born in a family is, on the whole, more likely to be "successful" than later-borns. A study along this direction compared the IQs of a random sample of 80 first-borns with those of an independent random sample of 105 later-borns. The data are summarized below: Sample size Sample mean Sample SD First-borns 80 112 7.2 Later-borns 105 108 8.0
1-5. A study is conducted to determine the relationship between a driver’s age and the number of accidents a person has over a one-year period. The data are shown below. At α = 0.05, using Pearson correlation, is there a significant relationship between a driver’s age and the number of accidents a person? 1. What is the value of r? a) -0.172 b) -0.892 c) 0.172 d) 0.892 2.The regression equation is defined by y' = a + bx. What is the value for a? a) 4.02 b) 3.36 c) 3.07 d) 2.86 3. The regression equation is defined by y' = a + bx. What is the value for b? a)0.34 b) 0.29 c) -0.03 d) -0.34 4. If we do t test for the correlation coefficient. What will be the test value? a)1.36 b) 1.28 c) -0.43 d) -0.56 5. What is the critical value to be used in the given problem? a) ±1.943 b) ±2.306 c) ±2.365 d) ±2.447
B. The critical values are ±___ C. Is there a correlation? Fail to reject the null hypothesis. There is sufficient evidence to support a claim of correlation between distance and time. Reject the null hypothesis. There is sufficient evidence to support a claim of correlation between distance and time. Reject the null hypothesis. There is insufficient evidence to support a claim of correlation between distance and time. Fail to reject the null hypothesis. There is insufficient evidence to support a claim of correlation between distance and time.
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4733 of supporting the claim that μ<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the power, then identify the value of β and interpret that value.
6. The coefficient of correlation between x and y is r = 0.59. Calculate the coefficient of determination.
3.7.1 only
State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t= 1.584 (b) t=0 (c) t= - 1.526 (d) t= - 1.604 to = - 1.558 (a) For t= 1.584, should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho, because t> - 1.558. O B. Reject Ho, because t> - 1.558. O C. Reject Ho, because t - 1.558. O B. Fail to reject Ho, because t - 1.558. (c) For t= - 1.526, should you reject or fail to reject the null hypothesis? O A. Reject Ho, because t - 1.558. O C. Fail to reject Ho, because t> - 1.558. O D. Fail to reject Hn, because t< - 1.558.

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