A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation of 14. Use this information to find the proportion of measurements in the gi 46 or more
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- The weight of male athletes is normally distributed with a mean of 95 kg and astandard deviation of 7 kg. If 68% of athletes satisfy a maximum weight requirementfor contest, find the maximum weight requirement.Assume that the mean amount of coffee dispensed is 6 ounces and a standard deviation is 0.5 ounce use the empirical rule. What percent of cups should have at least 6 ounces and what percent of cups should have less then 4.5 ounces of coffee?Consider a die with only four sides, marked one, two, three, and four. (a) Write out a sample space for rolling a pair of these dice. Die Two 1 2 3 1, 1) (回v,回v)(回v国)(回レ回。 1 2. 2 Die One (3.2) (1 - , 1 - ) (4 v 2- ) (1- 3 - ) (4- , 4 -) 3 4 Assuming equally likely outcomes, find the probability that the sum of the dice is the given number. (Enter the probabilities as fractions.) (b) P(two) 1/240 X P(three) 1/60 X (c) P(four) 3/16 (d) (e) P(five) 1/15 X P(six) (f) 1/60 X (g) P(seven) 3/80 X
- Given a mean, standard deviation, and a raw score, find the corresponding z-score. Assume the distribution is normal. mean 70, standard deviation 4, x = 80 What is the corresponding z-score? z=The heights of men aged 20 to 29 are normally distributed with a mean of 69.2 inches and a standard deviation of 2.9 inches. Find the 70th percentile for heights of men aged 20 to 29A survey found that women's heights are normally distributed with mean 63.1 in. and standard deviation 2.4 in. The survey also found that men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.5. Complete parts a through c below.Question content area bottomPart 1a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement.The percentage of women who meet the height requirement is enter your response here%.(Round to two decimal places as needed.)Part 2b. Find the percentage of men meeting the height requirement.The percentage of men who meet the height requirement is enter your response here%. (Round to two decimal places as needed.)Part 3c. If the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new height requirements? The new height requirements are…
- For the normal distribution of adult males in North America (mean=70.0 inches, standard deviation=4.0 inches), find the proportion of those who are a) under 65 inches b) over 76 inches c) between 67 and 73 inchesSuppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? childrenA normally distributed data set has a mean of O and a standard deviation of 2. What is the percent of values between -6.0 and 6.0? (make sure to include % sign in answer.)