Test the claim that the mean GPA of night students is smaller than 2.5 at the 10% significance level. The population standard deviation for this group is known to be 0.16.The null and alternative hypotheses for this test are:$H_0: \mu \leq 2.5 $ $H_A: \mu > 2.5 $ $H_0: \mu \geq 2.5 $ $H_A: \mu < 2.5 $ The test is: - left-tailed - right-tailed Based on a sample of 30 people, the sample mean GPA was 2.47. *Hint: Before you find the p-value below, calculate the test statistic to two decimal places.*The p-value is: ___________ (to 4 decimals) The significance level as a decimal is: ___________Based on this, - fail to reject the null hypothesis, $H_0$- reject the null hypothesis, $H_0$

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Answered: Test the claim that the mean GPA of…

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 random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.52 with a standard deviation of 0.17. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.51 for the general population. Use a 0.05 significance level. State the null and alternative hypotheses. O B. Ho H= 0.51 O A. H, p= 0.51 H3 p> 0.51 H3 µ#0.51 ОС. Но н0.51 H3 p= 0.51 O D. Ho H=051 H, p<0,51
The average American consumes 89 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 15 randomly selected college students and found that they averaged 87.3 liters of alcohol consumed per year with a standard deviation of 15 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? Select an answer V Н: ? v Select an answer V c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest the population mean is not significantly less than 89 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students…
The accounts of a corporation show that on average, accounts payables are $125 with standard deviation of $25. An auditor checked a random sample of 20 accounts whose mean was $129. Assume that the population distribution is normal. Test the null hypothesis that the mean payables are $125 against a two- sided alternative at 5% significance level. State the null and the alternative hypothesis and comment whether its a one tail or two tail test? If one tail then right or left tail test? (write your answer as one tail right tail test/ one tail left tail test/ two tail test) Identify the critical value. Ans in two decimal places. What is the calculated value? Ans in two decimal places Write the decision rule and identify whether the condition holds. (write answer as condition holds/ condition does not hold) Give final decision (write answer as reject null/ do not reject null)
We want to conduct a hypothesis test of the claim that for middle-aged adults the population's mean of their cholesterol levels is more than 199.3 mgdL. We choose a random sample of such levels. The sample has a mean of 197.3 mgdL and a standard deviation of 19.5 mgdL. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 105, and it is from a non-normally distributed population with a known standard deviation of 19.2. z = t = It is unclear which test statistic to use. (b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
"On the Standford-Binet test, the mean IQ is 100. A class of 13 kindergarten pupils were tested with a resulting mean of 94 and a standard deviation of 4.65. Does this group have a mean significantly different than the norm group? Use 0.01 as your level of significance. What are the given information? population mean:Blank 1 sample size:Blank 2 sample mean:Blank 3 sample standard deviation:Blank 4 level of significance:Blank 5 degrees of freedom: Blank 6 What are the critical values? Write the positive first then the negative t:Blank 7 andBlank 8 What is the value of the calculated t? Round your answer to the nearest hundredths. t:Blank 9"
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ C. Ho: M₁ = H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) B. Ho: H₁ H₂ H₁ H₁
You conduct a between-subjects ANOVA investigating whether different states produce tastier cheeses. You find that eta-squared is .50. What does this tell you? a. The effect size is small. b. 50% of the total variance in tastiness is due to differences between the states. c. The difference between the group means is .50 standard deviations. d. All of the above
The mean annual tuition and fees for a sample of 8 private colleges was $30,000 with a standard deviation of $4500. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $34,100. State the null and alternate hypotheses. O H;:µ = 34,100, H̟: µ# 34,100 O H;iH# 34,100, H̟: µ = 34,100 O H;:H = 30,000, H,: µ# 30,000 O H;iH = 34,100, H.: µ = 30,000
Seven pilots were tested in a flight simulator, and the time taken (in seconds) for each of them to complete a certain corrective action was measured and given as follows. 5.2 7.9 7.6 4.3 4.8 3.6 9.0 Construct a 99% confidence interval for the standard deviation of the true variability for the time taken to complete the corrective action.
Does color enhance creativity? Test the indicated claim about the standard deviations or variances of two populations. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.05 significance level, test the claim that those tested with red background have creativity scores with a standard deviation equal to the standard deviation for those tested with a blue background. Red Background Blue Background n1 = 39 n2 = 34 xˉx̄1 = 19.6 xˉx̄2 = 20.5 s1 = 0.72 s2 = 0.01 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer x̄₂ x̄₁ μ(red) p₂ p μ₁ μ₂ σ₁ s₁² σ(red) p₁ μ p̂₁ ? ≠ < > ≤ ≥ = Select an answer μ₁ μ₂ p₁ μ(blue) p σ₂ p₂ σ(blue) s₁² x̄₁ x̄₂ μ p̂₁ H1: Select an answer μ σ₁ x̄₁ μ(red) p̂₂ p₁ s₂² p₂ μ₂ μ₁ σ(red) x̄₂ p ? ≤ ≥ ≠ > = < Select an answer μ(blue) σ(blue) p μ μ₁ p₁ x̄₂ s₁² x̄₁ σ₂ p̂₁ p₂ μ₂…
Two species of fish have similar phenotvpes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?
"On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 109 and a standard deviation of 7.44. Does this group have a mean significantly different than the norm group? Use 0.01 as your level of significance. What are the given information? population mean:Blank 1 sample size:Blank 2 sample mean:Blank 3 sample standard deviation:Blank 4 level of significance:Blank 5 degrees of freedom:Blank 6 What are the critical values? Write the positive first then the negative t:Blank 7 andBlank 8 What is the value of the calculated t? Round your answer to the nearest hundredths. t:Blank 9"

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