Suppose that mean retail price per gallon of regular grade gasoline is $3.59 with a standard deviation of $0.10 and that the retail price per gallon has a bell-shaped distribution. NOTE: Please use empirical rule approximations for this problem. a. What percentage of regular grade gasoline sells for between $3.49 and $3.69 per gallon (to 1 decimal)? % b. What percentage of regular grade gasoline sells for between $3.49 and $3.79 per gallon (to 1 decimal)? % c. What percentage of regular grade gasoline sells for more than $3.69 per gallon (to 1 decimal)? %

1.  Draw by hand or in Excel fully labelled curves on a common scale to represent two sets of scores where:a.Mean = 25, Standard Deviation = 4,Mean = 50, Standard Deviation = 4.b.Mean = 50, Standard Deviation = 2,Mean = 50, Standard Deviation = 5.

What is the population standard deviation using the following formula

What is the level of measurement of the variable “age”? A. IQR B. Range C. Median D. Ordinal E. Mode F. Nominal G. Mean H. Interval/Ratio I. IQV J. Standard deviation

3. The fill volume of an automated filling machine used for filling cans of carbonated beverage isnormally distributed. Suppose that the mean of the filling operation can be adjusted easily, but thestandard deviation remains at 0.4 fluid ounce.a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces?b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if thestandard deviation can be reduced to 0.09 fluid ounce?

Q. 2. Suppose Country B's government now reports that its population mean disposable household income is $1,000 per month, with a standard deviation of $150. Country A's population mean is $1,100, with a standard deviation of $310. a. b. Which country has more variation in income? Explain using popular phrases, such as "gap between rich and poor." Each country defines the poverty level to be $755. If you assume that income has a normal distribution, find the probability that a household's income is below the poverty level in i. Country A ii. Country B Does it seem reasonable to assume a normal distribution? In general, is income symmetric or skewed?

1. A consumer survey indicates that the average household spends µ = $185 on groceries each week. The distribution of spending amount is approximately normal with a standard deviation of σ = $25. Based on this distribution. B. What proportion of the population spends more than $250 per week on groceries?

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According to a recent​ publication, the mean price of new mobile homes is $65,100. Assume a standard deviation of $7700. Let x denote the mean price of a sample of new mobile homes.   a. For samples of 50 mobile homes, the mean and standard deviation of all possible sample mean prices are $_________ and ​$__________​, respectively. ​(Round to the nearest cent as​ needed.) b. For samples of 200 mobile homes, the mean and standard deviation of all possible sample mean prices are ​$________and ​$_________​, respectively. ​(Round to the nearest cent as​ needed.)

For a population with mean 90 and standard deviation 10  A. find the percentile rank for a score of 95 B. Find the cutoff score (for the population with mean 90, not the z score) for top 2% C. Find the cutoff score (for the population with mean 90, not the z score) for the lowest 20 %