Question

In: Statistics and Probability

The weights of boxes of a certain brand of pasta follow an approximately normal distribution with...

The weights of boxes of a certain brand of pasta follow an approximately normal distribution with a mean of 16 ounces and a standard deviation of 0.05 ounces.

What percentage of boxes have weights that are more than 1 standard deviation above the mean? (Use the Empirical Rule 68, 95, 99.7)

Solutions

Expert Solution


Related Solutions

The weights of a certain brand of cereal boxes are normally distributed. The mean weight of...
The weights of a certain brand of cereal boxes are normally distributed. The mean weight of a SAMPLE of 13 boxes was 14.91 ounces with a sample standard deviation of .22 ounces. The margin of error on a 90% confidence interval would be smaller than the margin of error on a 95% confidence interval. True or false?
Melons from a certain large distributor have diameters that follow an approximately normal distribution with a...
Melons from a certain large distributor have diameters that follow an approximately normal distribution with a mean of 133 millimeters (mm) and a standard deviation of 5 mm. a. If a melon from this distributor is randomly selected, calculate the probability that the melon will have a diameter that is greater than 137 mm. b. Calculate the diameter of a melon such that 15 percent of this distributor’s melons have a larger diameter. c. Suppose a customer randomly selects melons...
In a certain county, the sizes of family farms approximately follow mound-shaped (normal) distribution with a...
In a certain county, the sizes of family farms approximately follow mound-shaped (normal) distribution with a mean of 472 acres and a standard deviation of 27 acres. (a) According to the empirical rule, approximately __% of family farms have a size between 418 and 526 acres. (b) According to the empirical rule, approximately __% of family farms have a size between 391 and 553 acres. (c) According to the empirical rule, approximately __% of family farms have a size between...
The distribution of weights for an industrial part appears to follow a normal distribution. You randomly...
The distribution of weights for an industrial part appears to follow a normal distribution. You randomly selected 21 parts from a large batch of those parts, and determined the sample standard deviation = 4 g. If you want to test H0: σ2 = 16 versus Ha: σ2 ≠ 16, what is the absolute value of the test statistic you would use?
The distribution of weights of United States pennies is approximately normal with a mean of 2.5...
The distribution of weights of United States pennies is approximately normal with a mean of 2.5 grams and a standard deviation of 0.03 grams. (a) What is the probability that a randomly chosen penny weighs less than 2.4 grams? (b) Describe the sampling distribution of the mean weight of 10 randomly chosen pennies. (c) What is the probability that the mean weight of 10 pennies is less than 2.4 grams? (d) Could you estimate the probabilities from (a) and (c)...
Suppose that male adult weights follow a normal distribution with a mean of 182.9lb and a...
Suppose that male adult weights follow a normal distribution with a mean of 182.9lb and a standard deviation of 40.8lb. 1.Find the probability that 1 randomly selected male has a weight greater than 156.25 lb. 2.Find the probability that a sample of 16 males have a mean weight greater than 156.25 lb.
Suppose weights of the small version of Raisin Bran cereal boxes have a normal distribution with...
Suppose weights of the small version of Raisin Bran cereal boxes have a normal distribution with mean 10 ounces and standard deviation 3 ounces. A small cereal box is declared to be under filled if it weighs less than 2 standard deviations below the mean. What is the cutoff weight to be under filled? The top 10% of the boxes have a weight larger than what amount? What’s the chance that a randomly selected box of cereal weighs more than...
The heights of women follow an approximately normal distribution with a mean of 65 inches and...
The heights of women follow an approximately normal distribution with a mean of 65 inches and a standard deviation of 3.5 inches. Use this information and a z-table to answer the following questions. A. Bianca is 60 inches tall. Find the z-score for Bianca's height. Round your z-score to 2 decimal places. B. Find the proportion of the population Bianca is taller than. Round your proportion to 4 decimal places. C. What proportion of women are between 61.5 inches and...
The distribution of weights for 12 month old baby girls in the US is approximately normal...
The distribution of weights for 12 month old baby girls in the US is approximately normal with mean of 21 and standard deviation of 2.2 pounds. a. If a 12 month old baby girl weights 23.2 pounds, approximately what weight percentile is she in? b. If a 12 month old baby girl is in the 16th percentile in weight, estimate her weight. c. Estimate the weight of a 12 month old girl who is in the 25th percentile by weight?...
The Acme Company manufactures widgets. The distribution of widget weights is approximately normal with a mean...
The Acme Company manufactures widgets. The distribution of widget weights is approximately normal with a mean of 53 ounces and a standard deviation of 10 ounces. Use the Empirical Rule to answer the questions below. Sketch the distribution in order to answer these questions. (a) 99.7% of the widget weights lie between and (b) What percentage of the widget weights lie between 43 and 83 ounces? % (c) What percentage of the widget weights lie below 73 ? %
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT