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- 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=_____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…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?
- Question 18 A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. a. Identify the population(s).A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. a. Identify the population. O more than 5% of those who take the drug actually get headaches. all individuals who take the medication. O the proportion of those who take the drug who get a headache. O 5% of those who take the drug actually get headaches. b. What is the variable being examined for individuals in the population(s)? O 5% of those who take the drug actually get headaches. O whether or not a person who takes the drug gets a headache. O more than 5% of those who take the drug actually get headaches. O the proportion of those who take the drug who get a headache. c. Is it categorical or quantitative? O Categorical O Quantitative