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- Researchers have been studying acorns produced by trees in a certain region. The acoms are used as a food source by various animals. The researchers have recorded the mass of a random sample of acorns (displayed below). Acorn mass (grams): 3.73, 3.56, 3,6, 3.75, 3.5, 3.91, 3.61, 3.72, 3.42, 3.73, 3.72 Checksum: 40.25 Resample the sample (bootstrap) (link to program) with 1000 iterations to create a 90% confidence interval for the mean mass of all acorns: Result: The researchers can be 90% confident that the mean mass of all acorns in this region is between and grams. Check AnswerBill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.86 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.60 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.60 grams? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?a: μ < 4.6 g; H1: μ = 4.6 g; left-tailed b: μ = 4.6 g; H1: μ ≠ 4.6 g; two-tailed c: μ = 4.6 g; H1: μ > 4.6 g; right-tailed d: μ = 4.6 g; H1: μ < 4.6 g;…Determinethe mean or expected value of each Random Variabte 10 20 PCt) 50% 12% 38 %
- Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.66 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.40 grams. Use α = 0.05. Find (or estimate) the P-value. (Round your answer to four decimal places.)Classify the following as either a discrete random variable or a continuous random variable. The amount of time six randomly selected volleyball players play during a game.Identify whether the given experiment involves a discrete random variable or a continuous random variable. 1. getting the temperature of a patient in a hospital 2. collecting data about the weights of students in a certain school 3. the number of patient admitted in the hospital due to Covid-19 4. the number of no work no pay in a certain municipality caused by pandemic 5. the number of families that are members of 4P's in Quezon 6. the number of Balikbayan OFW arrive in the Philippines 7. the number of text messages received by a particular individual in a day 8. the number of possible outcomes in rolling a die 9. the amount of liquid in a 12-ounce of soda 10. the number of fouls committed by a basketball team during the games
- Illustrate the following random variables by constructing a table. Find the possible values of each random variable. 1. Suppose three coins are tossed. Let W be the random variable representing the number of heads. thank you!Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and ? = 0.78 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is ? = 4.60 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.60 grams? Use ? = 0.05. Compute the z value of the sample test statistic. Round two decimal placesFind (or estimate) the P-value. Round four decimal placesClassify the following random variables as discrete or continuous . 1. The average distance that a runner can reach in an hour. 2. The time to finish the test. 3. The number of baskets of apple harvested. 4. The weight of student athlete. 5. The length of fence around the housing unit.
- Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use α = 0.01. Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)nd markers without ink. Assume that the box contains 17 markers: 12 that contain ink and 5 tha ontain ink. A sample of 8 markers is selected and a random variable Y is defined as the number arkers selected which do not have ink. ow many different values are possible for the random variable Y? Part 2A survey asks 1100 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Forty-six percent of those surveyed say they are reducing the amount of vacation. Ten workers participating in the survey are randomly selected. The random variable represents the number of workers who are reducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. Is the experiment a binomial experiment? No Yes What is a success in this experiment? Selecting a worker who is not reducing the amount of vacation Selecting a worker who is reducing the amount of vacation This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice. O A. n= B. This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer…