Q.5: If the correlation coefficient is 0.840, what is the unexplained variation?A) 36.0%B) 16%C) 84%D) 72.5%Q.6: A grocery store owner claims that the mean amount spent per checkout is less than $47. A test is madeof Ho: μ = 47 versus H₁: μ< 47. The null hypothesis is not rejected. State the appropriate conclusion.A) The mean checkout amount is less than $47.B) There is enough evidence to conclude that the mean checkout price is less than $47.C) There is not enough evidence to conclude that the mean checkout price is less than $47.D) The mean checkout amount is greater than $47.

Q. 5 is based on correlation concept. Q. 6 is from testing of hypothesis. The given test is left…

Answered: Q.5: If the correlation coefficient 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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What are the hypotheses for testing to see if a correlation is statistically significant? Hor=0: H₁r0 Ho: p=0: H₁p0 Ho: p= ±1: H₁p #±1 Ho: p = 0; H₁:p=1 Ho: r = ±1; H₁: r#±1
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
The heart rates before and after running a race (in beats per minute) of a sample of four athletes are shown in the following table: Athlete Heart rate before Heart rate after 120 129 134 123 50 52 3 56 4 53 The aim of the experiment was to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than before the race. 1.4 Use the appropriate hypotheses test to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than before the race. Use a = 0.05 and also find the approximate p-value. Also mention any assumptions made. Using your answer in 1.4), comment on whether you are subject to a Type I or a Type II error. Describe this error in the context of this problem. Estimate the difference in the mean heart rate by calculating a 90% confidence intervai for the data. Use this result to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than…
aaai 15 Concrete factory produces ten types of concrete products shown in the table below. if all types of concrete products have the same standard deviation, which type has the least ?relative variation Concrete 1. 2. 4 6. 7. 10 Products Мean 150 300 375 160 325 270 160 275 165 275 weight (KE) type 1 type 2 type 3 type 4 type 5 type 6 type 7 type 8 type 9 type 10
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal . The value of the test statistic is A) 3.6 B) 1.8 C) 0.45
will this be sufficient or is not sufficient evidence.
Which of the following is not a cause of perfect multicollinearity? Select all that apply. One of the explanatory variables is equal to half of another explanatory variable for 100% of the observations in the sample. The correlation between two of the explanatory variables is 1.00. One of the explanatory variables is equal to half of another explanatory variable for 20% of the observations in the sample. A dummy variable for male is included at the same time as a dummy variable for non-male. One of the regressors is X and another regressor is X².
The Gulf Company believes that the cost of a customer's shipment is determined by the weight of the packages being shipped. To investigate whether this relationship is justifiable, a random sample of 10 customer shipments was selected and the weight in kilograms (kg) and the cost in Omani Rial were recorded. Weight (kg) Cost (OMR) Y 6. 8. 9. 7 11 9. 11 17 27 13 16 8 6. 18 25 17 21 20 24 a. Perform a regression analysis to estimate the values of Bo and B, of the regression equation Y=Bo + B,X.(7 marks) b. Interpret the values you obtained fer Bo and B1 (6 marks) €. Estimate the cost of a shipment whose weight is 19 kg. (1 mark)
Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. a. Identify the independent and dependent variables. b. In a sentence, state the null hypothesis being tested. c. Using symbols, state the null and alternative hypotheses. d. Determine the critical region using a one-tailed test with alpha = .05. e .Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). f. State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). g. Based on your analysis, is there a relationship between the drug and attention span?
Katie is interested if an association exists between age and sleep habits. She selects a random sample of 68 adults in three age groups and determines whether they sleep less than 7 hours, between 7 and 8 hours, or more than 8 hours each night. She would like to determine if there is convincing evidence of an association. Let = 0.05. What are the hypotheses for this test? H0: There is an association between age and sleep habits.Ha: There is no association between age and sleep habits. H0: There is no association between age and sleep habits.Ha: There is an association between age and sleep habits. H0: There is no difference in the distribution of age and sleep habits.Ha: There is a difference in the distribution of age and sleep habits. H0: There is a difference in the distribution of age and sleep habits.Ha: There is no difference in the distribution of age and sleep habits.
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Which of the following is not a sample property of OLS? a. Sample covariance of each included variable and the residuals is zero b. the sum of all residuals is zero c. the average of all residuals is zero d. the covariance of x and y is on the regression line.

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