Show that A CB = CB C CA
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We have to prove that :
If A is subset of B than (competent B) is subset of (competent A)
I will proof it by two methods
1 : Demorgan's law
2: compliment defination
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- We are testing an effect of a potion that claimed to improve injured people's injuries with 80% of chance. The potion is given to 20 injured people and we observed the number "P" of people who improved. The hypothesis is 0.8 vs. H,: p < 0.8 Use the rejection region RR = {y<12}For this problem, assume that outcome O1O1 has frequency 1/a1/a, outcome O2O2 has frequency 11/a11/a, and outcome O3O3 has frequency 12/a12/a. What is the value of aa?1.2 number 12 review
- You have a table showing the following data: Crime No Yes Total Intelligence High 10 0 10 Medium 150 20 170 Low 80 20 100 Total 340 40 380 a. What would be more appropriate for this table (3x2)? Phi or Cramer's V?Endocrinology In Section 2.10, we described Data Set BONEDEN.DAT concerning the effect of tobacco use on BMD. Note: 2.38-2.40 Involve computing a new variable C. Compute C using the formula given and then use STATA to produce the output requested. 2.38. For each pair of twins, compute the following for the lumbar spine: A = BMD for the heavier-smoking twin − BMD for the lighter-smoking twin = x1 − x2 B = mean BMD for the twinship = (x1 + x2)/2 C = 100% × (A/B) Derive appropriate descriptive statistics for C over the entire study population. 2.39. Suppose we group the twin pairs according to the difference in tobacco use expressed in 10 pack-year groups (0–9.9 pack-years/10–19.9 pack-years/20–29.9 pack-years/30–39.9 pack-years/40+ pack-years). Compute appropriate descriptive statistics, and provide a scatterplot for C grouped by the difference in tobacco use in pack-years 2.40. What impression do you have of the relationship between BMD and tobacco use based on Problem 2.39?Base your answer to the following questions on the Punnett square, which shows a cross between two tall pea plants (Tt x TT). Tall Male Plant T 1 Key TT T-talgne kominant) Tall Female Plant t-short cene (recessive) T What percentage of the offspring will grow tall? B. 50% C. 25% P
- A random sample of 1000 households was taken and the dollar amount spent monthly on internet service was recorded for each. What is the wording in the context of this problem for the parameter u?Let Xi- NcO, ) andn=2 aud T=X,+ Xz Show that Tis a %3D Sulfficiesry Statistic.Can people tell the difference between a female nose and a male nose? This research question was examined in an article. Eight Caucasian males and eight Caucasian females posed for nose photos. The article states that none of the volunteers wore nose studs or had prominent nasal hair. Each person placed a black Lycra tube over his or her head in such a way that only the nose protruded through a hole in the material. Photos were then taken from three different angles: front view, three-quarter view, and profile. These photos were shown to a sample of undergraduate students. Each student in the sample was shown one of the nose photos and asked whether it was a photo of a male or a female. The response was then classified as either correct or incorrect. The following table was constructed using summary values reported in the article. Sex ID View Front Profile Three-Quarter Correct 29 26 23 Incorrect 11 14 17 Is there evidence that the proportion of correct sex…
- F1.6 Question 15 on paper pleaseA nutritionist is looking at the connection between hours of TV watched and choice of sugary snacks in children identified as at risk for obesity. He asks children to document the number of hours of TV they watch and the number of sugary snacks they eat each day as shown in the first three columns of the following table. In this table, fill in the missing values in the XY column, and then calculate ΣXY. Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) XY A 3 3 9 B 1 3 C 2 1 2 D 4 2 8 E 5 4 ΣXY =42 Fill in the missing values in the X² column of the following table, and then calculate ΣX². Child Hours of TV Watched (X) Number of Sugary Snacks Eaten (Y) X² A 3 3 9 B 1 3 1 C 2 1 D 4 2 16 E 5 4 ΣX² =55 Fill in the missing values in the X – 1 column and the (X – 1)² column of the following table, and then calculate Σ(X – 1)². Child Hours of TV Watched (X)…In anthropological studies, an important characteristic of fossils is cranial capacity. Frequently skulls are at least partially decomposed, so it is necessary to use other characteristics to obtain information about cranial capacity. One measure that has been used is the length of the lambda-opisthion chord. An article reported the accompanying data for n = 7 Homo erectus fossils. x (chord length in mm) y (capacity in cm³) 78 76 850 775 78 80 83 750 86 87 975 915 1,015 1,030 Suppose that from previous evidence, anthropologists had believed that for each 1 mm increase in chord length, cranial capacity would be expected to increase by 20 cm³. Do the data given here strongly contradict prior belief? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t = Use technology to find the P-value for this test. (Round your answer to four decimal places.) P-value = What can you conclude? O Fail to reject Ho. We have convincing evidence that…