THe distribution of cholesterol levels in teenage boys is approximately normal with a mean of 170 and a standard deviation of 30. Levels above 200 warrant attention. What percentage of teenage boys have levels between 170 and 225?

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: 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: A data set is normally distributed with a mean of 67 and a standard deviation of 12. What percent of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words…

A: Mean = 125 Standard deviation = 24

Q: On a standardized test with normal distribution, the mean is 85 and the standard deviation is 3.…

A: If 95% lies in the middle then (100-95)%=5% are on the two tails. So one tail has = 5%2=2.5%=0.025z…

Q: The average age of the marketing executives in an ad agency is 26, with a standard deviation of 6;…

A: The coefficient of variation formula is, CV = (σ/µ) × 100%, where µ is the mean and σ is the…

Q: In another company, every worker received a 5% raise. How does this affect the mean salary? The…

A: Every worker received a 5%. The mean defines that the center or average of the data and it is…

Q: The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean…

A: Given that :  Mean = 14 inches S. D = 3 inches Here we use standard normal distribution concept…

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: The z score explains the deviations of the observations from the mean. It is calculated using the…

Q: The distribution of the cost of a family’s dine-out meal has a mean of $55.30 and a standard…

A: Given ,Mean μ=$55.30Standard deviation σ=$4.00

Q: On a national achievement test score was 850 with a standard deviation of 100. What proportion of…

A:

Q: 2. The mean height for men is 70 inches with a standard deviation of 5 inches. Find the z- score of…

A: For the first question there is no data of 12 adult males in an office. So, iam answering for the…

Q: The weights of miniature horses are roughly normally distributed with a mean of 230 pounds and…

A: Given : The weights of miniature horses are roughly normally distributed with a mean of 230 pounds…

Q: On a final examination in Biology, the mean was 75 and the standard deviation was 12. What is the…

A: Given problem Given that   On a final examination in Biology,  The mean was = μ = 75 The standard…

Q: Suppose you were told you scored two standard deviation below the mean on a measure where the main…

A:

Q: The number of assists per match for the setter on your school's volleyball team has a mean of 55 and…

A: Given,   Mean(μ) =55 Standard deviation(σ)=7

Q: . A distribution has a coefficient of variation of 65% and mean of 47. What is the value of the…

A:

Q: Students at Roseville High School took an IQ test with a mean of 100 and a standard deviation of 15.…

A: GivenMean(μ)=100standard deviation(σ)=15

Q: A particular leg bone for dinosaur fossils has a mean length of 5 feet with a standard deviation of…

A: Given, A particular leg bone for dinosaur fossils has a mean length of 5 feet with a standard…

Q: Assume the cholesterol levels of adult American women can be described by a Normal model with a mean…

A: Given data,μ=182σ=23

Q: The mean of a normal set of data is -5.4 and the standard Deviation is 22.5 sketch a normal curve…

A: We have to plot a Normal curve with the given data  , Mean = -5.4 standard deviation = 22.5.

Q: The distribution of scores is approximately normal with a mean of 31 and a standard deviation of 5.…

A:

Q: What was the cutoff for a failing score? Approximately what percentage of the students failed?

A: The scores on a psychology exam were normally distributed with a mean of 68 and a standard deviation…

Q: A normal distribution has a mean of 60 and a standard deviation of 20. Barbara's score is 40. What…

A: It is given that the Normal distribution has a mean 60 and a standard deviation of 20.  Suppose X be…

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: The provided information is:

Q: Given that the mean score is 83 and the standard deviation is 6. What z-score corresponds to the…

A:

Q: In general, the larger the animal the longer the length of pregnancy. For the horse, for example,…

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: Assume the test scores in your class are normally distributed with a mean of 84. You scored a 96,…

A: Given: mean = 84.

Q: The weekly mean income of a group of executives is $1,000 and the standard deviation of this group…

A:

Q: Suppose the exam average in a class is 72% with a standard deviation of 3. What proportion of…

A: Given data: Average score = 72 % Standard deviation  = 3% To find: What proportion of students…

Q: The scores on the final exam in a statistics course are close to being normally distributed. The…

A: Normal distribution: It is a continuous probability distribution, that is bell-shaped with lighter…

Q: THE SCORES ON THE SAT MATH HAD A MEAN OF 431 AND A STANDARD DEVIATION OF 117. What percent of…

A:

Q: The prices of all college textbooks follow a bell-shaped distribution with a mean of $108 and a…

A: HERE GIVEN FOR BELL SHAPED DISTRIBUTION  MEAN=$108 S.D=$21

Q: A z-score of +1.6 represents a value which is how many standard deviations above the mean?

A:

Q: The mean grade of in the final examination in Mathematics was 85 and the standard deviation was 7.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A quantitative data set has mean 15 and standard deviation 2. At least what percentage of the…

A: It is given that the mean is 15 and standard deviation is 2.

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 119…

A: The mean of the blood pressure is 119. The standard deviation of the blood pressure is 23.

Q: A student scored 66 on a general science test where the class mean and standard deviation were 82…

A:

Q: The hourly pay of a sample of nurses is approximately normal with a mean of $36.25 and a standard…

A:

Q: The daily water usage per person in Davao City is normally distributed with a mean of 18 gallons and…

A: Given information: Let X be the random variable denoting the daily water usage per person in Davao…

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A:

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

A:

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: On the final exam, your friend scored a 93 and you scored a 85. The scores are normally distributed…

A: Obtain the Z-score for the random variable X equals 85. The Z-score for the random variable X equals…

Q: THE SCORES ON A SCIENCE TEST HAD AN AVERAGE OF 78 AND A STANDARD DEVIATION OF 3. WHAT PERCENT OF…

A: Given,mean(μ)=78standard deviation(σ)=3

Q: Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150…

A: Consider the provided data, Number of children = 300 mean, μ=150standard deviation, σ=12 We need to…

Q: A set of laptop prices are normally distributed with a mean of $750 and a standard deviation of $60.…

A: To Determine: A set of laptop prices are normally distributed with a mean of $750 and a standard…

Q: The mean for data set is 59, the standard deviation is 4, and the z- score is 0.03, what is the raw…

A: Here given that the mean =59, standard deviation=4, z score=0.04, we need to find the raw score x.

Q: On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.