
MATLAB: An Introduction with Applications
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Author: Amos Gilat
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4. If the alpha level is changed from α = .05 to α = .01,
a. What happens to the boundaries for the critical
region?
b. What happens to the probability of a Type I error?
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- 2. A person’s blood glucose level and diabetes are closely related. Let x be a random variable measuredin milligrams of glucose per deciliter) 1/10 of a liter) of blood. After a 12- hour fast, the random variable xwill have a distribution that is approximately normal with mean µ = 85 and standard deviation ợ = 25(Source: Diagnostic Tests with Nursing Implications, edited by S. Loeb, Springhouse Press). Note: After 50years of age, both the mean and standard deviation tend to increase. What is the probability that, for an adult(under 50 years old) after 12- hour fast? (a) X is more than 60? (b) X is less than 110? (c) X is between 60 and 110?arrow_forward2. The average pre-school cost for tuition fees last year was P74,200. The following year, 20 institutions had a mean of P13,100 and a standard deviation of P2,250. Is there sufficient evidence at a = 0.10 level of significance to conclude that the mean cost has increased? Solution: Step 1: State the hypotheses. Ho: H;: Step 2: The level of significance and critical region. a = df = and tertical = Step 3: Compute for the value of one sample t test. teomputed =, Step 4: Decision rule. Step 5: Conclusion.arrow_forward1. What is the standardized test statistic? t = ___. 2. What is/are the critical value(s)?arrow_forward
- a. Find the t values that form the boundaries of the critical region for a two-tailed test with ? = .05 for a sample size of n = 12. b. Repeat the above for a one-tailed test, with ? = .05.arrow_forward6. A researcher reports an F-ratio with dfeween = 2 and df 3D2 = 30 for an independent-measures within ANOVA. a. How many treatment conditions were compared in the experiment? b. How many subjects participated in the experiment? tsarrow_forwardIf the mean of a data set is 12.3 and the standard deviation is 0, then a. all the observations are equal to 12.3 b. there must have been a mistake in the calculation, as it is not possible to have a standard deviation of 0 c. a histogram of the data set has a single peak at zero d. a histogram of the data set will be strongly skewed e. there is a large amount of variabitilty in the data setarrow_forward
- For a fixed alpha level of significance used for a hypothesis test, the critical value for a chi-square statistic decreases as the size of the sample decreases. a. True b. Falsearrow_forward6. A population has a mean of u = 80 and a standard deviation of o = 20. a. Would a score of X= 70 be considered an extreme value (out in the tail) in this sample? Why? %3D b. If the standard deviation were o = 5, would a score of X = 70 be considered an extreme value? Why? %3D 18. Calculate SS, variance, and standard deviation for the following sample of n= 4. Scores: 7, 4, 2, 1 Use the computational formula (for SS) with all appropriate notation for all calculations. %3Darrow_forwardSuppose we wanted to test the hypothesis that a control group of cancer patients (Group 1) would report higher mean pain ratings than an experimental group receiving special massage treatments (Group 2). Using the following information, compute a t statistic for independent groups: Group 1: Mean = 76.5 Standard deviation = 13.1 N =20 Group 2: Mean = 72.1 Standard deviation = 14.7 N =20 What are the degrees of freedom and the value of t? Write a null and alternative hypothesis, Using α = .01 for one-tailed test, is this t statistically significant?arrow_forward
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