Test the claim that the mean GPA of night students is smaller than 3.4 at the 0.025 significance level.The null and alternative hypothesis would be:Ho:p = 0.85H1:p > 0.85O Ho:p = 0.85H1:p < 0.85Ho:µ = 3.4H1:µ > 3.4O Ho:µ = 3.4H1:µ # 3.4O Ho:p = 0.85H1:p # 0.85O Ho:µ = 3.4H1:µ < 3.4The test is:two-tailedo left-tailedo right-tailedBased on a sample of 40 people, the sample mean GPA was 3.36 with a standard deviation of 0.08The test statistic is:(to 2 decimals)The p-value is:(to 2 decimals)Based on this weo fail to reject the null hypothesis.o reject the null hypothesis.

According to guidelines we solve first three subparts when given multiple subparts

Answered: the clain that the The null and…

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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A statistics professor claims that the average score on the Final Exam was 90. A group of students believes that the average grade was lower than that. They wish to test the professor's claim at the a = 0.10 level of significance. (Round your results to three decimal places) Which would be correct hypotheses for this test? Ο Ho: μ 90 O Ho: 90, H₁:μ = 90 O Ho: = 90, H₁:μ< 90 A random sample of statistics students had the Final Exam scores shown below. Assuming that the test scores are normally distributed, use this sample to find the test statistic: Final Exam scores 74 102 55 92 58 92 98 93 84 97 76 69 67 59 70 52 test statistic: Give the P-value: Which is the correct result: O Do not Reject the Null Hypothesis O Reject the Null Hypothesis Which would be the appropriate conclusion? There is not significant evidence to suggest that the average Final Exam score was less than 90 There is significant evidence to suggest that the average Final exam score was less than 90
9.5 blue u1 n=50 x=4.42 s=0.53 red u2 n=31 x=3.59 s=0.82
A researcher finds a correlation of r x y = + 0.40 with a sample of n = 25 bi-variate observations. Given a null hypothesis of H0: ρ x y = 0 and α = 0.05 , the researcher should: cant tell from the information given reject the null hypothesis fail to reject the null hypothesis
Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the following ?−α−values do we also reject the null hypothesis? A. 0.03 B. 0.06 C. 0.04 D. 0.02
A researcher conducts a two-sample t-test in order to test the following hypotheses: H0 :µa = µB vs. H1: µA > µB. She finds that the p-value is .075. Her colleague wishes to conduct the same hypothesis test, but will change his alternative hypothesis to µA=/=µB and will use α = .10. What can be said about the results of his test? (a) He will fail to reject the null hypothesis. (b) He will reject the null hypothesis. (c) Whether he rejects the null hypothesis depends on the brand of statistical software he uses. (d) There is not enough information provided to determine the results of his test.
Refer image to questions - What is the appropriate test to answer this question? -The null and alternative hypotheses are (choose from below) H0: π = 0.5, H1: π ≠ 0.5 H0: β = 0, H1: β ≠ 0 H0: μ = 0, H1: μ ≠ 0 H0: μ = 70, H1: μ ≠ 70 H0: μ1- μ2 = 0, H1: μ1- μ2 ≠ 0 - How can you justify the assumption for this test? (choose from below) -Since nπ and n(1-π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution -The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population -The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with the same spread -The points are randomly scattered around a straight line, so the assumptions of linearity and constant spread are satisfied. The shape of the histogram indicates that the…
In a random sample of 80 Americans, 55% wished that they were rich. In a random sample of 100 Europeans, 48% wished that they were rich. At α=0.10α=0.10 is there a difference in the proportions? State the hypotheses. H0 pA−pE=0 Ha pA−pE≠0 H0 pA+pE≠0 Ha pA+pE=0 H0 μA=μE Ha μA≠μE H0 pA=0.55 Ha pE=0.48
"Trydint" bubble-gum company claims that 5 out of 10 people prefer their gum to "Eklypse" and they want to test if this value is different. The null and alternative hypothesis in symbols would be: O Ho:p = 0.5 H1:p > 0.5 %3D O Ho:p = 0.5 H1:p 0.5 %3D Ho:p = 0.5 H1:p # 0.5 The null hypothesis in words would be: The proportion of all people that prefer Trydint gum is less than 0.5. The proportion of people in a sample that prefer Trydint gum is not 0.5 The average of people that prefer Trydint gum is 0.5. The proportion of all people that prefer Trydint gum is greater than 0.5. The proportion of all people that prefer Trydint gum is 0.5 OThe proportion of people in a sample that prefers Trydint gum is 0.5. The average of people that prefer Trydint gum is not 0.5. NOV
A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.3 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 26 at the x = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Ho: μ = 26 H₁: μ #26 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.)
Null and Alternative Hypotheses: (a) According to USDA, the average egg in a carton of 12 eggs weighs around 2 oz. A consumer has a suspicion that a particular producer sells eggs of lower weight. State the hypotheses (Ho & Ha) in words to validate the consumer's belief. (b) Hemoglobin is a protein in red blood cells that transports oxygen from the lungs to the body's tissues. People with less than 12 grams of hemoglobin per deciliter of blood (g/dl) are considered anemic. A public health official in Oklahoma suspects that the mean hemoglobin of children in Oklahoma is different than 12. State the hypotheses (Ho & Ha) in words to verify the public health official's belief.
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