Homework #6 Q#1: A salad dressing bottled by a food manufacturer consist of olive oil and...
1. The amount of soda in a 12 ounce bottle is supposed to be 12 ounces, right? There is some variability in the amount that the machines dispense into the bottles. Let the real amount of soda in each bottle follow a Normal distribution with mean 12.2 and standard deviation 0.3. a. If the bottle can only hold 13 ounces, what is the probability the bottle will overflow? In other words, what is the probability that the machine dispenses more...
1) Let x be a continuous random variable that is normally distributed with a mean of 21 and a standard deviation of 7. Find to 4 decimal places the probability that x assumes a value a. between 24 and 30. Probability = b. between 17 and 31. Probability = ------------------------------------------------------------------------------------------------------------------------------------------------------ 2) Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a...
1. In 2010, Apple introduced the iPad, a tablet-style computer that its former CEO Steve Jobs called a "truly magical and revolutionary product" (CNN, January 28, 2010). Suppose you are put in charge of determining the age profile of people who purchased the iPad in the United States. Explain, in detail, the following sampling strategies that you could use to select a representative sample a. Simple random sampling b. Stratified random sampling c. Cluster sampling 2. Natalie Min is an...
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5 of 8 ID: MST.SD.DSM.04.0060 [1 point] The number of diners at a restaurant each day is recorded and a daily average is calculated every month (assume 30 days in a month). The number of diners each day has a mean of 104 and a standard deviation of 69, but does not necessarily follow a normal distribution. The probability that a daily average over a given month is greater thanx is 2.5%. Calculate X. Give your answer to 3...
The weight of people in a small town in Missouri is known to be normally distributed with a mean of 177 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,528 pounds or 18 persons.” What is the probability that a random sample of 18 persons will exceed the weight limit of 3,528 pounds? Use Table 1. (Round “z” value to 2 decimal places, and final answer...
Page 1 Question 1 Suppose we take repeated random samples of size 20 from a population with a Select all that apply. mean of 60 and a standard deviation of 8. Which of the following statements is 10 points true about the sampling distribution of the sample mean (x)? Check all that apply. A. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. B. The distribution will be normal as...
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a normal distribution with mean μ = 6 ml and standard deviation σ = 0.2 ml is a reasonable model for the distribution of the variable x = amount of red dye in the paint mixture. Use the normal distribution model to calculate the following probabilities. (Round your answers to four decimal places.) (b) P(x < 6.2)= (d) P(5.6 < x...
Question 1 Snowfalls occur randomly and independently over the course of winter in a Nebraska city. The average is one snowfall every 3 days. a) What is the probability of 5 snowfalls in 2 weeks? Carry answer to the nearest ten-thousandths b) What is the probability of a snowfall today? Carry answer to the nearest ten-thousandths Question 2 After observing the number of children checking out books, a librarian estimated the following probability distribution of x,...