consider the hypotheses shown below. Given that x=111, 0=25, n=43, a=0.05, complete parts a and b. HO: us120 H1: μ>120 a. What conclusion should be drawn? b. Determine the p-value for this test.
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- Step 1 of 3. State the null and alternative hypotheses for the test. Step 2 of 3. Compute the value of the test statistic. Round your answer to three decimal places Step 3 of 3. Draw a conclusion and interpret the decision.Please SHOW THE 7 STEPS IN TESTING THE HYPOTHESIS I. Ho II. Alpha = ?III. T-test or F-test?IV. Sig Value = ?V. t/f-value = ?VI. DECISION: ? Qestion: Mr. X is a professor in Statistics III. He gave an examination before and after he discussed the topic “testing hypothesis” and gathered the following data: Student Score After the Discussion Score Before the Discussion 1 85 81 2 90 87 3 75 70 4 93 89 5 88 85 6 60 65 7 78 75 8 92 92 9 86 85 10 95 92 At alpha= .01 level of significance, is learning effective?ELABORATE Answer the following problems showing complete solution. Enclose final answers. ELABORATE Exercise 2.1 (Sample Space and Events) The rise times (unit: min.) of a reactor for two batches are measured in an experiment. 1. Define the sample space of the experiment. 2. Define Ei where the reactor rise time of the first batch is less than 55 min. and E2 where the reactor rise time of the second batch is greater than 70 min. 3. Find E¡ U E2, Ei N E2, and Ei'. 4. Are Ei and E2 mutually exclusive? 5. Are Ei and E2 exhaustive? Exercise 2.2 (Probability of Joint Event) Test results of scratch resistance and shock resistance for 100 disks of polycarbonate plastic are as follows: Shock Resistance High (B) Low (B’) Scratch Resistance High (A) Low (A') 80 6 5 Let A and A' denote the event that a disk has high scratch resistance and the event that a disk has low scratch resistance, respectively. Let B and B' denote the event that a disk has high shock resistance and the event that a disk…
- Your p value is .03 and you chose your α level to be .05. What kind of error could you be making? a. Type I error b. Type II error c. Type I and Type II error d. Neither errors(c) State the conclusion for the test. OA. Reject Ho because the P-value is less than the x = 0.01 level of significance. OB. Do not reject Ho because the P-value is less than the a= 0.01 level of significance OC. Do not reject Ho because the P-value is greater than the x = 0.01 level of significance. OD. Reject H, because the P-value is greater than the x = 0.01 level of significance.A population has u = 50.Whixh value of o would make x=55 a central,representative score in the population distribution? o=1 o=6 o=2 impossible
- In testing the hypotheses H0:p = 0.62 vs Ha: p≠ 0.62, the test statistic is calculated to be z = 2.11. Which of the following is the correct p-value? A. 0.0348 B. 0.0174 C. 0.9862 D. 1.9652A population of scores with p = 38 and CT = 6 is standardized to create a new population with p = 50 and CT =10. What is the new value for each of the following scores from the original population? original score X = 26 X = 35 X = 44 X = 47. Claim: The mean IQ score of statistics professors is greater than 118. Sample data N=50, x=120, assume that o =12 and the alpha is 0.05.
- H. : p = 0.65 and H, : p > 0.65 where p= the proportion of students who were quarantined at some point during the Fall Semester of 2020. Identify the correct explanation for a Type Il error. O Conclude the percent was higher than 65%, but it was not higher. Conclude the percent was higher than 65% and it was higher. O Did not conclude the percent was higher than 65%, but it was higher. O Did not conclude the percent was higher than 65% and it was not higher.Give the value of the test statistic t for this situation: H0: ?d = 0, Ha: ?d ≠ 0, d = −4, sd = 15, n = 50. (Round the test statistic to two decimal places.) t=_____Find the score that 75% of students will exceed. Consider the NAEP scores which are approximately normal N(288,38). 75% of the students will score above x on this exam. Find x.