Suppose you have a company with four markets in four regions (eg China, United States, United Kingdom, Japan). The distribution of their sales is a normal distribution with a mean of 100 and a standard deviation of 0.5. What is the distribution of the total market, and what are the mean and standard deviations? If the four markets are not independent, what is the distribution?
The distribution of the total market, will also be Normal distribution
Mean = 4*100 = 400
Standard deviation =
=1
Suppose you have a company with four markets in four regions (eg China, United States, United...
Company XYZ is a medical device company that operates in two geographic markets in the United States: East and West. Over the last ten years the East market has had a normally distributed mean annual sales of $4,350,200 with a standard deviation of $635,000. The West market's, also normally distributed, mean annual sales over the same period was $6,245,700 with a standard deviation of $856,300. The two markets have a correlation coefficient of 0.3. For the West market, which interval...
Suppose that, on average, electricians earn approximately µ = $54,000 per year in the United States. Assume that the distribution for electricians’ yearly earnings is normally distributed and that the standard deviation is σ = $12,000. Given a sample of four electricians, what is the standard deviation for the sampling distribution of the sample mean? 6,000 12,000 36,000 54,000
Among adults in the United States, the distribution of albumin levels (albumin is a type of protein) in cerebrospinal fluid is roughly symmetric with mean m = 29.5 mg/100ml and standard deviation of s = 9.25mg/100ml . Suppose that you repeatedly select samples of size 20 from this population and calculate the mean and standard deviation for each sample. 1)What proportion of all sample standard deviations would be greater than 12 mg/100ml? 2)What two bounds would define the middle 95%...
451 In the United States, the mean and standard deviation of adult women's heights are 65 inches (5 feet 5 inches) and 3.5 inches, respectively. Suppose the American adult women's heights have a normal distribution. a. If a woman is selected at random in the United States, find the probability that she is taller than 5 feet 8 inches. b. Find the 72nd percentile of the distribution of heights of American women. c. If 100 women are selected at random...
Are the inflation rates of the United States and the United Kingdom associated? If so, can we attempt to predict the U.S. inflation rate using the U.K. inflation rate? Suppose we fit the following simple linear regression model U.S. inflation rate i = β0 + β1(U.K. inflation rate)i + εi where the deviations εi were assumed to be independent and Normally distributed, with mean 0 and standard deviation σ. This model was fit to the data using the method of...
An article reported that 5% of married couples in the United States are mixed racially or ethnically. Consider the population consisting of all married couples in the United States. (a) A random sample of n = 150 couples will be selected from this population and p̂, the proportion of couples that are mixed racially or ethnically, will be computed. What are the mean and standard deviation of the sampling distribution of p̂? (Round your standard deviation to four decimal places.)...
an economics professor randomly selected 100 millionaires in the united states. the average age of these millionaires was 54.8 years with a standard deviation of 7.9 years. what is the 95% confidence interval for the mean age, of all united states millionaires. A.) A confidence interval for the mean using a table value from the standard normal distribution B.) A confidence interval for the mean using a table value from the t distribution C.) A confidence interval for a proportion...
Suppose a retailer has two markets, 1 and 2. demand 1 follows normal distribution with mean 100 and standard deviation 12.4. demand 2 follows normal distribution with mean 110 and standard deviation 16.7. the retailer needs to know the mean and standard deviation of the TOTAL demand. please describe the conceptual analysis process to find out these two parameters by using simulation
Suppose that the heights of adult men in the United States are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What proportion of the adult men in United States are less than 6 feet tall? (Hint: 6 feet 72 inches) Round your answer to at least four decimal places. X 5 ?
Suppose that the heights of adult men in the United States are normally distributed with a mean of 70.5 inches and a standard deviation of 3 inches. What proportion of the adult men in United States are at most 6 feet tall? (Hint: 6 feet = 72 inches.) Round your answer to at least four decimal places. 0 х 5 ?