arge population of fish, the proportion of angel fish is -. Let P be the random variable that represents the sample proportion of angel fish for samples of size n drawn from the population. Find the smallest integer value of n such that the standard deviation of P is less than or equal to 100
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- a A2 The sample of size n=87 Is drawn From a population whose standard deviation 189 Find The margin of ERROV for a 90%. Confieuence InteratNormal Probability Assume the length of songs on the radio are normally distributed with a mean of 212 seconds and a standard deviation of 19 seconds. a) What percentage of songs on the radio are 200 seconds or shorter? b) What percentage of songs are at least 230 seconds long? c) If a song on the radio is selected randomly what is the probability thay it last between 188 and 208 seconds? d)A radio station wants to identify all songs thay are on the lowest 5% by length. how long would a song need to last to fall in this group? (round your answer to nearest whole number)Tornadoes During a recent 64-year period, New Mexico had a total of 153 tornadoes that measured 1 or greater on the Fujita scale. Let the random variable x represent the number of such tornadoes to hit New Mexico in one year, and assume that it has a Poisson distribution. What is the mean number of such New Mexico tornadoes in one year? What is the standard deviation? What is the variance?
- Paramesan cheese is aged for an average of 24 months to allow it to develop the desire richness in flavor the standard deviation for the length of time Parmesan cheese is aged is 3.7 months Find the probability that in a sample of 20 wheels of Parmesan cheese the cheese is aged for an average of at most 22 monthsCompleted 0 of 4 Questions ( 1 4 > O Save V Finish 2 3 Yoonie is a personnel manager in a large corporation. Each month she must review 25 of the employees. From past experience, she has found that the reviews take her approximately 2 hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 25 reviews. Assume that the 25 reviews represent a random set of reviews. a. X is normally distributed with a mean of and a standard deviation of 2 1.2 and a standard error of the mean Round your answer to 2 decimal places. b. X is normally distributed with a mean of Enter a number Enter a number Submit (2 attempts remaining) Us O 9I 11A population if IQ scores form a normal distribution with a mean of mew=95 and a standard deviation of sigma=15. what is the probability of obtaining a sample mean greater than M=97 c) For a random sample of n=9 people? d) for a random sample of n=25 people?
- Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. O Part (a) In words, define the random variable X. the salary of an elementary school teacher in the district O the number of teachers in the district the number of teachers in an elementary school in the district O the number of elementary schools in the district O Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X- N O O Part (c) In words, define the random variable EX. the sum of all teachers in ten elementary schools in the district O the sum of salaries of ten elementary school administrators in the district the sum of salaries of ten teachers in elementary schools in the district O the sum of all districts with ten elementary schools O Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX - NO O Part (e)…Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P =Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $173,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(_____,______) What is the distribution of ¯xx¯? ¯xx¯ ~ N(____,_____) For a single randomly selected graduate, find the probability that her salary is between $176,006 and $185,837. ________ For a simple random sample of 15 graduates, find the probability that the average salary is between $176,006 and $185,837. ___________
- Consider all samples of size 5 from this population:2, 5, 6, 8, 10, 12, 13 Compute the mean and the standard deviation of the population. List all samples of size 5 and compute the mean for each sample. Samples Mean Construct the sampling distribution of the sample means. Sampling Distribution of Sample Means Sample Mean Frequency Probability Calculate the mean of the sampling distribution of the sample means. Compare this to the mean of the population. Calculate the standard deviation of the sampling distribution of the sample means. Compare this to the standard deviation of the population.The average precipitation for the 8 months of the year 13.5 inches with a standard deviation of 2,2 inches. Assume that the average precipitation is normally distributed