The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a random variable with a mean of 5.97 ounces and a standard deviation of 0.1 ounce. Suppose that you draw a random sample of 33 cans. Find the probability that the mean weight of the sample is less than 6.95 ounces Probability
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- Assume that the heights of American men are normally distributed with a mean of 69.1 inches and a standard deviation of 3.3 inches. Of the 44 presidents elected from 1789 through 2016, 19 were 6'0" or taller. The proportion of all men that will be taller than 6'0" is 0.18976. If the 44 presidents could be considered a random sample of 44 American men, how many standard deviations above the mean would an observation of 19 out of 44 of the men being 6'0" tall or taller be? (Hint: We can consider the number of men 6'0" tall or taller in a random sample of 44 men to be a binomial random variable where the probability of selecting a man 6'0" tall or taller is the proportion of American men 6'0" tall or taller. Round your answer to two decimal places.) Z = ?The scores of individual students on the ACT Exam are modeled as normally distributed with a mean of 19.6 and a standard deviation of 5.0. At Clark High, 64 seniors take the test. Assume the individual scores at this school are modeled using the same distribution as national scores. What are the expectation and variance of the sample mean score for this random sample of 64 students?During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the patient's needs. Records indicate that nationwide, the mean number of wisdom teeth removed in a procedure is u= 3.50, with a standard deviation of o=1.27. Suppose that we will take a random sample of 6 wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let ī represent the sample mean of the 6 procedures. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find (the mean of the sampling distribution of the sample mean). (the standard deviation of the sampling distribution of the sample mean). ?
- The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 62. OA. 0.1293 OB. 0.3707 OC. 0.0228 OD. 0.4772According to a medical journal, the distribution of weights of newborn babies is approximately Normal, with a mean of 3390 grams and a standard deviation of 550 grams. what is the probability that a newborn baby will weigh more than 3800 grams?A particular fruit's weights are normally distributed, with a mean of 431 grams and a standard deviation of 22 grams.If you pick 12 fruits at random, then 15% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
- The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a standard deviation of 171 square feet. For a randomly selected house in Kenton County, what is the probability the house size is over 1158 square feet? z = probability =During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the patient's needs. Records indicate that nationwide, the mean number of wisdom teeth removed in a procedure is µ = 2.38, with a standard deviation of o = 0.93. Suppose that we will take a random sample of 8 wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let x represent the sample mean of the 8 procedures. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find - (the mean of the sampling distribution of the sample mean). -0 ? (b) Find o, (the standard deviation of the sampling distribution of the sample mean). G- - ?Find the mean variance and standard deviation for the number of heads when 10 coins are tossed.
- Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have BLUE eyes. Three randomly selected Americans are selected and examined for eye color. If you let success correspond to an American having BLUE eyes, calculate the following. Calculate the standard deviation.A particular fruit's weights are normally distributed, with a mean of 648 grams and a standard deviation of 16 grams. If you pick 5 fruits at random, then 19% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.A particular fruit's weights are normally distributed, with a mean of 781 grams and a standard deviation of 38 grams. If you pick 25 fruits at random, then 9% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.