vhile a sample of 40 brand D cigarette showed an average nicotine of 4.8 milli tandard deviation of nicotine is 1.6 milligrams, would you say that brand D ha ontent? Use a 0.01 level of significance. Assume the distribution of nicotine ce
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- Length of skateboards in a skateshop are normally distributed with a mean of 32 in and a standard deviation of 0.6 in. The figure below shows the distribution of the length of skateboards in a skateshop. Calculate the shaded area under the curve.A bottler of drinking water fills plastic bottles with a mean volume of 994 millimeters (mL) with a standard deviation of 5 mL. The fill volumes are normally distributed. What proportion of bottles have volumes less than 995 mL? Use Table A.2 (Normal Distribution Table) and keep four decimal places with your answer.This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
- Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway per hour and 85 miles per hour. (Assume the data set has a bell-shaped distribution.) 70 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whese speeds are between 55 miles Approximately% of vehicles travel between 55 miles per hour and 85 miles per hour.A quick survey of peanut butter prices had standard deviation and mean of $.26 and $3.68 respectively. Compute the area for a peanut butter jar costing more than $4.25Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
- uppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 269 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball.b. Find the probability that a randomly hit fly ball travels less than 307 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feetUse the normal distribution of heights of adult women, which has a mean of 167 centimeters and a standard deviation of 8 centimeters, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity. The percentage of heights less than 179 centimeters is ___%The amount of calories in a slice of cheese pizza follows a Normal Distribution with a mean of 264 calories and a standard deviation of 24 calories. For each question sketch a graph of the distribution demonstrating the value you are asked to find. A. What amount of calories represent the 67th percentile? i.e what amount of caloris is larger than 67% of slices? B.What amount of calories represents the top 1% of calories C. What amounts of calories represent the middle 41% of calorie?
- Acorns in the northern Atlantic regions of the U. S. have an average volume of 3.75 cubic centimeters, with a standard deviation of .85 centimeters. If we were to collect 1000 samples of 300 randomly-selected acorns, describe the sampling distribution for the sample mean of acorn volumes. Round to the nearest hundredth (two decimal places) if necessary. Shape: Center: Spread:=24.4 % 5. Commercial cherry trees produce fruit according to a normal distribution with an average of 90 kg of cherries per tree and a standard deviation of 11 kg per tree. a. Label the horizontal axis appropriately on the Normal curve at right. b. What is the probability that a tree produces at least 95 kg of cherries? Shade the appropriate area in the figure, and then determine the proportion. c. What is the probability that a tree yields between 85 and 105 kg of cherries? 57 68 79 90 101 112 123 d. What percentile would a harvest of 80 kg be for a single tree?joans finishing time for the bolder boulder 10k race was 1.77 standard deviations faster than the womens average for her age group. there were 415 women in her group. assuming a normal distribution, how many women ran faster than joan? rounded down to the nearest whole number