The mean annual automobile insurance premium is $950, with a standard deviation of $175. The data set has a bell-shaped distribution. Estimate the percent of premiums that are between $600 and $1300.

Q: The data set has size 60. Approximately how many observations lie within three standard deviations…

A: From the empirical rule

Q: Why is the standard deviation preferable to the range as a measure of variation?

A: A range is the most common and easily understandable measure of dispersion. It is the difference…

Q: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

Q: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

A: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

Q: In a normal distribution, approximately ___ percent of the distribution falls between three standard…

A:

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least of any…

A: Given Information: According to Chebyshev's rule, within 10 standard deviations from the mean, lies…

Q: Find the mean, mode and standard deviation of the distribution.

A: Given: f(x)=1x2πe-12logx2      for x>0       =0  for  x<0

Q: A consumer survey indicates that the average household spends μ = $185 on groceries each week. The…

A: From the provided information, Mean (µ) = $185 Standard deviation (σ) = $25 Let X be a random…

Q: The systolic blood pressure of 18-year-old women is a roughly bell-shaped distribution with a mean…

A: We have given that.   X~N( μ , ?^2 )   μ =120 , ? =12   Z-score =( x - μ )/?

Q: A data set has size of 40. How many observations lie within two standard deviations of either sides…

A: The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rule)…

Q: On a spelling test, the standard deviation is equal to 0.94. What does this mean

A: We know that the Standard deviation tells us that how much data is scattered around the mean value…

Q: In which distribution shape does the Standard Deviation Rule apply?

A:

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: During I week, an overnight delivery company found that the weights of its parcels were normally…

A: 1. a. The percent of the parcels weighed between 12 oz and 30 oz is obtained below: It is given that…

Q: What is the sum of the deviation scores for the data in the frequency distribution table below?

A: Sum of deviation  of scores from mean is always zero.

Q: A quantitative data set has size 40. At least how many observations lie within two standard…

A: Introduction: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then,…

Q: the data set has a size 50, how many observations lie within 2 standard deviations of the mean

A: From the provided information, Sample size (n) = 50 The observations lie within 2 standard…

Q: A quantitative data set has size 80. At least how many observations lie within two standard…

A: It is given that a quantitative data set size is 80.

Q: Find the mean and standard deviation for the individualized instruction scores.

A:

Q: ) Approximate the mean and standard deviation for temperature.

A: (a) The mean for temperatures is, Temperature Days(f) Midpoint(x) fx 50 - 59 4 54.5 218 60 -…

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: The heights of women aged 18 to 24 are approximately normal with a mean of 65 inches and a standard…

A: Given that  X~N(μ= 65 , σ= 2.5 ) μ= 65 , σ= 2.5 Formula for Z-score Z=(X-μ)/σ

Q: In a Science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: Given: The mean score of a Science test is μ=42. The standard deviation is σ=5. Let X be a random…

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

A: Obtain the Z-score for the random variable $32000.   The Z-score for the random variable $32000 is…

Q: what is the mean and standard deviation?

A:

Q: A quantitative data set has a size of 50. At least how many observations lie within seven standard…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: a set of piano prices are normally distributed with a mean of 3000 dollars and a standard deviation…

A:

Q: A quantitative data set has mean 19 and standard deviation 2. Approximately what percentage of the…

A: Given that, A quantitative data set with, Mean = 19 Standard deviation = 2

Q: .Use the data to lation mean and andard deviation

A: x (x-xbar)^2 92 22.09 103 39.69 99 5.29 108 127.69 86 114.49 94 7.29 90 44.89 102…

Q: If the range of a data set is 64, find the approximate value of the standard deviation, using the…

A: Given information- Range = 64 We have to find the approximate value of the standard deviation using…

Q: In a normal distribution, find the proportion of the population within three fifths of a standard…

A: We have to find out given proportion..

Q: A quantitative data set has size 50. At least how many observations lie within three standard…

A: The size of the data set is 50.

Q: The data set has size 90. Approximately how many observations lie within two standard deviations…

A: The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3…

Q: In a normal distribution, find the proportion of the population within one quarter of a standard…

A: The proportion of the population within one quarter of a standard deviation of the mean.…

Q: The data set has size 40. Approximately how many observations lie within two standard deviations to…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: The playing life of a Sunshine radio has a Normal distribution with a mean of 600 hours and a…

A: The playing life of a radio is normally distributed with mean 600 hours and standard deviation of…

Q: A man works for a travel agency whose employees had an avergae income of Php32,000 with a standard…

A:

Q: The average birth weight of elephants is 230 pounds. Assume that the distribution of birth weights…

A: Given,mean(μ)=230standard deviation(σ)=50

Q: Given an approximately normal distribution with a mean of 175 and a standard deviation of 37,…

A: Given info: Here, mean is 175 and standard deviation is 37.

Q: The mean length of a human pregnancy is 269 days, with a standard deviation of 10 days. Use the…

A: According to empirical rule.

Q: In a survey of women in Canada, the mean height was 65 inches with a standard deviation of 3 inches.…

A:

Q: What is the weight of the newborn elephant at the 33rd percentile? Round to the nearest whole number

A: Given:   birth weights of newborn elephants = X X is Normally distributed mean of X = 160 pounds…

Q: The daily water usage per person in Davao City is normally distributed with a mean of 20 gallons and…

A: Empirical Rule : The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is…

Q: A quantitative data set has size 60. At least how many observations lie within three standard…

A:

Q: According to the Department of Education the mean number of hours college students spend studying…

A:

Q: Find the Mean, Median and Standard Deviation for the data. Round to two decimal places.…

A: The following data has been given: 10,7,9,3,8,15,5,5,12

Q: The reading speed of sixth grade students is approximately normal with a mean speed of 115 word per…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The data set has size 80. Approximately how many observations lie within two standard deviations to…

A: Empirical rule: On a normal distribution about 68% of data will be within one standard deviation of…

Q: the standard deviation or the interquartile range

A: answer of given question is in step 2

Q: The daily water usage per person in Davao City is normally distributed with a mean of 20 gallons and…

A: Given that, Mean = 20 Standard deviation = 5

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.