A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80.  In a recent year, the national mean score for the writing section was 47.4  with a standard deviation of 9.9 . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. According to Chebyshev's theorem, at least _%? (36%56%75%84%89%) of the scores lie between 27.6 and 67.2 . (b) According to Chebyshev's theorem, at least 56% of the scores lie between __ ?   and __?   . (Round your answer to 1 decimal place.)

Q: Sixty percent (60%) of all computers sold by a large computer retailer are laptops. (The remaining…

A: From the provided information,60% of all computers sold by a large computer retailer are laptops…

Q: If the average low temperature of a winter month in Rochester, NY is 13∘13∘ and the standard…

A: Consider a variable, X: low temperature of a winter month in Rochester.To find the probability(in…

Q: Anyone who plays or watches sports has heard of the "home field advantage." Teams tend to win more…

A: Given Information: Sample size n=2431 Number of successes x=1319 Hypothesized value of population…

Q: Jeff is doing an experiment involving mice. The mice weights have mean weight 3.68 ounces and…

A:

Q: and the second scoring 23 on the ACT. Which of these students scored higher among the population of…

A: Suppose that the verbal portion of the Scholastic Aptitude Test (SAT) had a mean score of u = 400…

Q: If in a data set the observation 78 has z-score equal -0.60 and the observation 88 has z- score…

A:

Q: The historical reports from two major networks showed that the mean number of commercials aired…

A: Method: if population standard deviations are unknown then we use t test .

Q: Suppose that a certain brand of light bulbs has a mean life of 600 hours and a standard deviation of…

A: Solution: Let X be the lifetime of a bulbs. From the given information, X follows normal…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: According to a theory in psychology, young female adults show more emotional empathy toward others…

A: Note : As per the Bartleby guildlines we have to solve first three subparts and rest can be…

Q: At one university, the mean distance commuted to campus by students is 16.0 miles, with a standard…

A: Given: x~N(μ,σ)μ=16σ=4.1

Q: In a group of 10 workers, the wage of the lowest paid worker is $ 225 less than the average wage of…

A: Given : N=10 Lowest paid worker = 225 We have to tell standard deviation of wages = 7.53

Q: Suppose that the lengths of human pregnancies are normally distributed with a mean of 266 days and a…

A: a) Empirical rule: The probability of the observation lies within 1 standard deviation of the mean,…

Q: Use z scores to compare the given values.   The tallest living man at one time had a height of 221…

A:

Q: (a) The population 3, 4, 9, 14, and 20 has a mean of 10 and a standard deviation of 6.356. The…

A:

Q: A nationwide test taken by high school sophomores and juniors has three sections, each scored on a…

A: Given Data: Mean(X)=50.6 Standard deviation(X)=10.3

Q: A health economist does a study on the average life expectancy of every country in Europe.  The…

A: Given,mean(μ)=78.6Z-score=0.2The country of Fredonia  has a life expectancy (X)=79.2 years

Q: Suppose that the lengths of human pregnancies are normally distributed with a mean of 266 days and a…

A: given data normal distributionμ = 266σ = 17   empirical rule : approximately 68-95-99.7% data fall…

Q: Suppose that a sample of 15 observations has resulted in a sample mean of 12.58 and a sample…

A: n1=15, mean X̄n1=12.58, sn1=0.512

Q: From a sample with n = 28, the mean number of televisions per household is 2 with a standard…

A: Suppose a random variable x defines the number of televisions per household.

Q: A nationwide test taken by high school sophomores and juniors has three sections, each scored on a…

A: Given Data: Mean=50.6 SD=10.3

Q: There are dozens of personality tests available on the World Wide Web. One test, scored on a scale…

A: From the given information, μ=106  σ=16 Using Chebyshev's inequality which is given by as follows:…

Q: Suppose that quiz scores in a beginning statistics class have a mean of 6.56.5 with a standard…

A: The Chebyshev's theorem states that at least 1-1k2 of the observations falls within k standard…

Q: Suppose that quiz scores in a beginning statistics class have a mean of 6.5 with a standard…

A: Mean(µ) = 6.5 Standard deviations (σ) = 0.5

Q: Three potential employees took an aptitude test. Each person took a different version of the test.…

A: The raw score of Cade is 95.5. For Cade's version of the test, the mean, μ=64.7, and the standard…

Q: A nationwide test taken by high school sophomores and juniors has three sections, each scored on a…

A: From the provided information, Mean (µ) = 50.1 Standard deviation (σ) = 10.0

Q: A health economist does a study on the average life expectancy of every country in Europe.  The…

A:

Q: From a sample with n = 32, the mean number of televisions per household is 4 with a standard…

A:

Q: According to a theory in psychology, young female adults show more emotional empathy toward others…

A:

Q: A statistics instructor gives two different tests to measure students' aptitude for statistics.…

A: We have given that, Mean1 = 22 and standard deviation1 = 5. Mean2 = 71 and standard deviation2 =…

Q: Suppose scores on the final exam for Principles of Statistics are normally distributed with a mean…

A: Empirical rule: The probability of the observation lies within 1 standard deviation of the mean,…

Q: The city of Raleigh has 7100 registered voters. There are two candidates for city council in an…

A: Given information- Total no. of voters in the city = 7100 Sample size, n = 400 No. of voters who…

Q: Suppose the average weight for a green apple is 153 grams, with a standard deviation of 27 grams,…

A: GivenFor Green apple Mean(μ)=153standard deviation(σ)=27For Red appleMean(μ)=200standard…

Q: Suppose you compared 2 independent samples. The first sample contained 10 people, had a mean score…

A: Given that,mean(x)=37.6standard deviation , s.d1=1.5number(n1)=10mean(y)=34.2standard deviation,…

Q: The brain volumes ​(cm3​) of 20 brains have a mean of 1143.3 cm3 and a standard deviation of 129.9…

A: Introduction: It is required to find the limits separating the significantly lower and higher…

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: A 1995 study shows that since records were first kept in a meteorologist's hometown, the average…

A: Solution: Let X be the temperature during the month of May. From the given information, n=25,…

Q: A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard…

A: Given, Mean weight of cantaloupes is 700 gm. Standard deviation is 53 gm

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.