A bag contains seven balls numbered 1, 2, 2, 3, 3, 3, and 4. Let X be the random variable representing the square of selected numbered ball and then subtracting 4. Compute the mean and variance of the random variable X. A 3.5; 32.25 B 5; 19.5 (c) 3.43; 20.82 2.05; 18.09
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Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
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Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
A:
Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
A: The objective of this question is to determine whether the mean weight of Anna's hummingbirds in a…
Q: A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of…
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Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
A:
Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
A: Solution: State the hypotheses. Null hypothesis: That is, the mean weight of the humming birds in…
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Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
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Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
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A: The formula for mean, variance and standard deviation of a random variable X is given by:
Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
A: The sample mean is 3.75, population standard deviation is 0.98 and sample size is 6.
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Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote…
A: Given : Claim : A humming birds in the Grand Canyon weigh less than 4.40 grams.
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- 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 ? = 0.98 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is ? = 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 ? = 0.01. (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? H0: ? = 4.8 g; H1: ? ≠ 4.8 g; two-tailedH0: ? < 4.8 g; H1: ? = 4.8 g; left-tailed H0: ? = 4.8 g; H1: ? > 4.8 g; right-tailedH0: ? = 4.8 g; H1: ?…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 = 0.86 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;…A bag contains seven balls numbered 1,2,3,3,3, and 4. Let X be the random variable representing the square of selected number ball and then subtracting 4. Compute the mean and variance of the random variable X
- 2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2Bill 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.)A company produces 10,000 bags per day. This company supplies bags to a shop which sells them in packs of 10 bags per pack. If less than two of a randomly selected pack (of 10 bags) from the order are defective, the shop accepts the whole order. The proportion of defective bags produced by the manufacturing company is 10%. Let ? be the random variable representing the number of defective bags in a pack.i. Identify the type of distribution being described in this question and write down the value/s of its parameter/s.ii. What is the probability that the order will be accepted?iii. What is the probability that a randomly selected pack (of 10 bags) has more than two defective bags?
- 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 places2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2Bill 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.)
- Make a table, compute and interpret the mean of a discrete random variable. The probabilities that a costumer will buy 1, 2, 3, 4, or 5 item in a grocery store are 3/10, 1/10, 1/10, 2/10 and 3/10 respectively. What is the average number of items that a costumer will buy?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 = 0.70 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.45 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.45 grams? Use α = 0.05. How to solve for pBill 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 ? = 0.86 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 ? = 0.10. (a) Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)