1. A biologist found the wingspan of a group of monarch butterflies to be normally distributed, with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5mm? b. between 50 and 55mm? Solution:

Q: A marketing researcher for a phone company surveys 70 people and finds that the proportion of…

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Q: 1) Which sample will have the larger mean number of books read? 2) Which sample will have the larger…

A: The given histogram is:

Q: Ten friends scored the following marks in their end-of-year math exam: 23%, 37%, 45%, 49%, 56%, 63%,…

A:

Q: What proportion of trucks can be expected to travel between 38,000 and 62,000 miles in the year?

A: Normal distribution is also known as the Gaussian distribution . It is widely used to make complex…

Q: Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

A: Given: X P(x) 0 0.175 1 0.357 2 0.318 3 0.118 4 0.028 5 0.004

Q: Consider the following data and calculate the standard deviation. 6.24,  6.21,  6.24,  6.28

A: The mean is, μ=∑XN=6.24+6.21+6.24+6.284=24.974=6.2425 The mean is 6.2425.

Q: The annual commissions per salesperson employed by a retailer of mobile communication devices…

A: From the provided information, Mean (µ) = $43600 Standard deviation (σ) = $4600

Q: From the following data : 23,25,41,29,50,36,37,44,30,35. Find the: Median…

A: 1. The Median is the middle number in the data set. Median for odd = n+12thvalue Median for even =…

Q: (a) How many reams should the manager expect to use each day? (b) What is the standard deviation of…

A: here given Discrete probability Distribution of X  X=  no of reams of paper Used

Q: c) For the normal distribution of burning times of electric light bulbs, with a mean equal to 1200…

A: Since you have posted multiple subparts , we will solve first three subparts  for you. To get the…

Q: Given the mean of a normally distributed data set is 25, with  standard deviation of 5, what percent…

A: We will standardize the normal variable and then use standard Normal table to find the required.

Q: The annual commissilons per salesperson employed by a retailer of mobile communication devices…

A: Let X be the random variable from normal distribution with mean (μ) = $ 41200 ans standard deviation…

Q: (a.) Find the point estimate for the mean and standard deviation of the salaries of all the…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  Now  Here Given the salary of 12…

Q: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If a data set has a mean of 80 and a standard deviation of 10, calculate + 1.5 standard deviations

A: Here, the data set has a mean of 80 and a standard deviation of 10.

Q: A line for tickets to a broadway show had a mean waiting time of 20 minutes with a statistic…

A: Given: Mean,  μ=20 Standard deviation, σ=5 Sample size, n= 200 Use normal approximation here, the…

Q: For a mean of 70 and a standard deviation of 8, find standardized score for a value of 80. O - 1.25…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 8

Q: A sports shop records the sales of items made in India and those made in Australia. Country of…

A: The standard deviation is the measure of variability from individual data values to the mean and…

Q: Toby's Trucking Company determined that on an annual basis, the distance traveled per truck is…

A: It is given that the mean and standard deviation are 50,000 and 12,000, respectively.

Q: The ages of employees in a certain company were bell-shaped with mean 28 and standard deviation 5.…

A:

Q: For each pair of data sets, which is likely to have the greater standard deviation? 40. heights of…

A: The standard deviation is a measure of variation or dispersion of a set of values. This means how…

Q: The weight of a division I college football player has a mean of 255lb and a standard deviation of…

A:

Q: (c) If the standard deviation remains at 0.5 ounce, what must the mean weight be for the company to…

A: Givenstandard deviation(σ)=0.5x=13 ounces

Q: For a certain species of snake, the mean length of an adult is 63.4 cm with a standard deviation of…

A:

Q: In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6,…

A:

Q: The weights, in pounds, of a group of dogs are:          18, 31, 22, 46, 55, 28.    Calculate the…

A: Given Data The weight of a group of dogs are: 18,31,22,46,55,28   The size of group is N=6   The…

Q: 2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was…

A: Determine the number of students took the examinations.   The number of students took the…

Q: 1. Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale.…

A: Here use z score for  determining the statement correct or not

Q: а. How many of the women have a height that is within 1 standard deviation of the mean? b. How many…

A:

Q: A biologist found the wingspans of a group of monary butterflies to be normally distributed with a…

A: As we are entitled to solve one question at a time I will answer 2nd one as some information is…

Q: 4.15. If the local restaurants in a small town record an average of 92 customers a day, with a…

A:

Q: Given that the mean weight of senior high school students is 65kg with a standard deviation of 10.…

A: Given information Population mean µ = 65 kg Standard deviation σ = 10 We have to determine the…

Q: The percentage of observations that are contained within 3 standard deviations of the mean is O a.…

A: As per the empirical rule for normal distribution, 68%, 95%, and 99.7% of the values lie within one,…

Q: 5. The quality control manager at a light bulb factory needs to estimate the mean life of a large…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Given the mean and standard deviation for each city’s high temperatures for April 15: |City A City B…

A: Mean is generally represented as total sum of all observations divided by number of observations.…

Q: If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5…

A: Given Information: Mean = 90  Standard deviation = 5 Standardized score for a pitch that is 97 miles…

Q: 4. The lowest and the highest data value of a data set are 12 and 28 respectively, then the…

A:

Q: According to Chebyshev's Teorem, at least what percentage of snake lengths are within K= 2.9…

A: The Chebyshev’s rule states that, for any quantitative data set and any real number greater than k,…

Q: Find the sample standard deviation for the following scores: x = 2,45,2,6,3,2,9,10,11,34,64

A: The random variable is x. The sample size is 11. It is given that, the sample size of 11…

Q: The providence health maintenance organization wants to establish a criterion for recommending…

A: Given Information Mean (µ) = 178.1 Standard deviation (σ) = 40.7

Q: Find the standard deviation for the group of data items (to the nearest hundredth)8,9,10,11,12

A:

Q: According to the Chebyshev Rule, at least 96% of all observations in any data set are contained…

A: Given Data: The percentage amount of data is: D%=96% From Chebyshev rule, The percentage amount of…

Q: Assuming that the heights of college women are normally distributed with mean 65 inches and standard…

A:

Q: A biologist found the wing span of a group of MONARY butterflies to be normally distributed with a…

A:

Q: Convert the following raw scores to z-scores if the mean is 50 and the standard deviation is 10. a.…

A: We convert the given raw scores to z - scores when the mean is 50 and the standard deviation is 10.