If n=10, The rejection region for testing Ho: p = 100 vs. Ha: P# 100 at the 0.01 level of significance is: Ot> 3.250 O I4 > 3.250 O> 1.645 O > 2.326
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- Consider a test of Ho: M₁ = μ₂ versus Ha: μ₁ > µ₂ using the sample results ₁ = 82.3, S₁ $2 = 8.16 with n₂ = 24. What value is closest to the p-value for this test? 0.0014 0.052 0.104 O 0.948 = 7.54 with n₁ = 28 and ₂ = 78.6,Consider Ho: µ1 = µ2= H3= H4 and sample size are ni= n2= 5, na = 6, n4= 8. a. Complete the ANOVA table. Critical Value / Tabular Value Mean Sum of Source of Variation Sum of Squares df F- value Decision Squares Between - column Within - column 64 240 Total Solutions: b. Using 5% level of significance, would you reject Ho?Test the hypothesis that the average content of containers of a particular lubricant is 10 L if the contents of a random sample of 10 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, and 9.8 liters. Use a 0.01 level of significance and assume the distribution of contents is normal.
- A severe storm has an average peak wave beight of 16,4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down or getting worse. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis? Is the P-value area on the left, right, or on both sides of the mean? O H:a is less than 16.4 feet; the P-value area is on the left of the mean O H:u is less than 16.4 feet; the P-value area is on the right of the mean O H: u is greater than 16.4 feet; the P-value area is on the right of the mean OH:u is not equal to 16.4 feet: the P-value area is on the left of the mean OH : u is not cqual to 16.4 feet; the P-value area is on the right of the meanThe average household size in a certain region several years ago was 4.3 people. A census worker wishes to test, at the 5% level of significance, whether it is different now. A random sample of 20 households will be used for the test. Which one of the following describes the correct rejection region to use for this test? Ot> 2.093 or t 2.093 Ot> 1.729 O t> 1.729 or t < -1.729A Z-test for single population mean is conducted with Ha: H < 10, at significance level of 0.05, The most significant result is suggested by the following test statistic -1.65 2.2 4.7 1.96 O3.7 -4.5
- The manager of a political party wants to find out the association between the campaign spending (Large, medium and small) and the vote obtained (Majority, Average and minority). Use Chi-squared hypothesis test for association to test that there is an association between the variable in campaign spending and the variable in vote obtained with five percent level of significance. The manager uses MS excel to calculate the Chi-squared stat value and the result is 8.874. Critical value: At 1% = 13.277 :At 5% = 9.488 :At 10% = 7.779 1. State the decision rule 2. Conclusion and decision 3. State the alternative hypothesis and the null hypothesisBelow indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test. A researcher wants to know if people find baby animals cuter than adult animals. All of the participants in a study are shown 10 pictures of baby animals and 10 pictures of adult animals. They are asked to rate (on a 1 to 10 scale) how cute they think each animal is.I randomly sample 219 students and ask them to provide their USF GPA. I wish to determine if the average GPA of all USF students ex mu + 3.25 ceeds 3.25. Unfortunately, I generated the printout shown here: One-Sample T Test Null Hypothesis: H - 3.25 Alternative Hyp: u- 3.25 Variable Mean SE DF GPA 3.3121 0.0340 1.82 218 0.0694 Cases Included 219 What assumption is needed for this analysis to be valid? None. The Central Limit Theorem applies and no other assumptions are needed. The GPAS of all USF students need to be approximately normally distributed The mean GPA of all USF students need to be approximately normally distributed
- The amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed. Find the critical value for testing for a difference in the mean sodium amounts at the a = 0.05 level of significance. Condiments Cereals 180 160 230 200 220 190 140 300 250 240 220 160 150 310 A) 3.05 B) 3.47 C) 0.33 D) 3.52 Desserts 340 130 280 230 210 150 340 120Answer the following: 1. Test Stat 2. Critical Region: Select one: a. T1.761 c. T>2.14 d. T>abs(2.145) 3. Conclusion: At 5% level of significance… Select one: a. the new type of fabric does not exceed the WRA of the top current brand b. the new type of fabric exceeds the WRA of the top current brandFor a one-sided t-test with H0 : μ ≤ 10 vs. Ha : μ > 10, which of the following t-statistics would result in the largest p-value? Explain why. A. 2.55 B. -2.55 C. 1.43 D. -1.33 E.3.22