estion 15 Consider the Hypotheses Ho: u =36 vs H1:H> 36. Assume X=37, C a) Using a=0.10 , find the critical value(s). Type the critical values(s) b) Find the test statistic. (Type this number) C) At a=0.10, is Ho accepted or not accepted? (Type accepted or not accep
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.QUESTION 23 Assuming all other factors are held constant, if the df value for a two-tailed t-test with α = .05 were increased from df = 6 to df = 20, what would happen to the critical values for t? a. The critical values would further from t = 0. b. The critical values would not change. c. The critical values would move closer to t = 0. d. This is impossible to determine without more information.using the z table (table e), find the critical value (or values) for each. a. alpha=0.10, two tailed test b. alpha=0.01, right tailed test c. aplha=0.005, left tailed test
- Lecture(8.4): Researchers were interested in whether the numbers of books carried between gender is different. It was hypothesed that girls would carry more books than girls. Twenty children were recruited and matched based on age and SES. Researchers then collected the number of the age of the appropriate books the children owned. A summary of the results is given below: Girls 15 7 22 13 26 14 12 11 18 30 Boys 12 10 16 8 17 9 15 10 20 15 Test the hypotheses at (alpha=.05) level of significance.2. The critical value of t is 1.383, the value of the test statistic t = -1.383; therefore, we do not reject H0Consider the null hypotheses for the following multinomial experiments. (Give your answers correct to two decimal places.) (a) Determine the critical value and critical region that would be used in the classical approach to test Ho: P(1) = P(2) = P(3) = P(4) = 0.25, with ? = 0.01.?2 (b) Determine the critical value and critical region that would be used in the classical approach to test Ho: P(1) = 0.25, P(2) = 0.40, P(3) = 0.35, with ? = 0.01.?2
- The standard pH of a drinking water of MRWD is pH 7.0, the pH obtained from several water station are as follows: Station 1 7.8 Station 2 6.5 Station 3 5.8 Station 4 8.9 Station 5 6.8 Station 6 5.8 Station 7 9.0 Station 8 6.9 Test the hypothesis that the drinking water of the MRWD is safe for drinking.QUESTION 16 You recently read an article about coffee that said 40% of people in your age group prefer Cold Brew, 35% prefer Latte, 4% prefer Short Black, and 21% prefer Cappuccino. You wanted to know if 125 of your friends have the same tastes as reported in the magazine, and you collect data to test your hypothesis. When testing your hypothesis, what will be your critical value? 9.35 11.14 9.49 7.82question 27 59% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 124 of the 243 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The null and alternative hypotheses would be: Ho: p= (please enter a decimal) H1: p< (Please enter a decimal) 2.The test statistic _______ (please show your answer to 3 decimal places.) 3.The p-value = ______ (Please show your answer to 4 decimal places.)
- Question 2 a. Suppose a statistician chose to test a hypothesis at α = 0.01. the critical value for a right-tailed test is +2.33. If the test value is 1.97, what would the decision be? What would happen if, after seeing the test value, he decided to choose α = 0.05? What would the decision be? Explain the contradiction, if there one. b. What are three pieces of information you need to find the value of t-statistic. c. Researchers like to test hypotheses about comparing means. Under what circumstances will you use a one-sample t-test, an independent samples t-test, and an ANOVA (analysis of variance)?Consider the hypotheses below. H0: μ≥60 H1: μ<60 Given that x=55.3, s=6.9, n=25, andα=0.10, complete parts a and b below. What conclusion should be drawn? The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, tx. tx= (Round to two decimal places as needed.) What conclusion should be drawn? A.Reject H0. There is sufficient evidence to conclude that μ<60. BDo not reject H0. There is sufficient evidence to conclude that μ<60. C.Do not reject H0. There is not sufficient evidence to conclude that μ<60. D.Reject H0. There is not sufficient evidence to conclude that μ<60. b) Use technology to determine the p-value for this test.a. Determine the positive critical value Z* corresponding to:i. 87.64% confidence.ii.95.34% confidence.iii. 57.04% confidence.b. Which of these three z* values is largest? Which is smallest?The largest Z* value is the one associated with_____ %.The smallest Z* value is the one associated with____ %.