It was found that 85% of the students graduated from a technical university are employed within 6 months after graduation. A random sample of 20 graduated students were selected. If X the number of employed students, thus X ~ B(6,0.85) Select one: O True O False
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- The question is in the imageA researcher wants to know whether children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this, a researcher obtains a sample of n = 36 children (ages 8 to 12 years) who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time each day is spent watching TV. The average for the sample is M = 4.9 hours/day. Assume that the average TV-watching time for the general population of 8-to-12-year-old children is µ = 4.1 hours/day with σ = 1.8. Is ADHD in children associated with an increased amount of TV-watching?Two new accessions of pepper were tested for pungency. The two accessions were given to ten persons who scored the pepper samples as 1 if it is the more pungent of the two and 0 , otherwise. Which test can be conducted to compare pungency of the two new accessions? a. F-test B. Friedman C. t-test D. sign test
- The following table shows the results of a screening test hypothesized to identify persons at risk for a rare blood disease. Compute the False Positive Fraction of the test. No Disease Disease Screen Negative 1274 28 Screen Positive 51 45✅❎♦️♦️♦️♦️✅✅❎32223!!);;54% of all the town's residents own a dog and 65% own a cat. Of the dog owners 45% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where possible) а. Р(Own a Dog) b. P(Own a Cat) = c. P(Own a Cat and a Dog) = d. P(Own a Dog GIVEN Own a Cat) =
- Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. (c) Find the sample correlation coefficient r and the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is…Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 13.8 19.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1554.45; Σxy = 274b) Find the equation of the least-squares line. (Round your answers to two decimal places.) ŷ = + x (c) Find r. Find the coefficient of determination r2. (Round your answers to three decimal places.) r = r2 = d) Test the claim that the population correlation coefficient is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t =A team of researchers working on the development of vaccines conducted a study on two vaccines. Thirty individuals participated in the study and were randomly assigned to two groups and one group received vaccine 1 and the other group vaccine 2. The researchers then measured the amount of antibody in the individuals' blood after ingestion, entered R and calculated some fish sizes that can be seen here below. x̄1 = 494,54, s1 =52,39, x̄2 = 467,93, s2 = 45,20, d = 26,61, sd = 68,69. Blood levels of antibodies can be expected to follow normal distribution. Use α = 0,05. c) What conclusion do you draw from the hypothesis test in point b about the possible difference in the mean amount of antibody after oral administration of the vaccines? d) The researchers also created a 95% confidence interval for the difference between the averages. Will the confidence interval contain the value 0? Justify your answer without calculating the confidence interval.e) Let us now assume that there is in fact…
- There are 150,000 households in Market City. A local phone repair shop takes a random sample of 50 households and finds that the average number of phones per household from the sample last year that needed to be repaired was 1.05 ± 0.23. Which of the following is an estimate of the total number of phones that needed repairing last year in Market City? O Between 82 and 128 phones O Between 123,000 and 192,000 phones Between 105 and 23 phones O Between 157,500 and 34,500 phones.A person picks a number between 1 and 285336. The random variable Z assigns the 0 to an even number and 1 to an odd number. What number is assigned to 267927?Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.8 17.3 14.4 19.6 20.0 Σx = 15; Σy = 87.1; Σx2 = 55; Σy2 = 1,540.45; Σxy = 272 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) x = y = b = ŷ = + x
