A variable is normally distributed with mean 6 and standard deviation 2. a. Determine and interpret the quartiles of the variable. b. Obtain and interpret the 85th percentile. c. Find the value that 65% of all possible values of the variable exceed. d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95 and two outside areas of 0.025. Interpret your answer.

Question

A variable is normally distributed with mean 6 and standard deviation 2.

a. Determine and interpret the quartiles of the variable.

b. Obtain and interpret the 85th percentile.

c. Find the value that 65% of all possible values of the variable exceed.

d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95 and two outside areas of 0.025. Interpret your answer.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Dreamfilms Studios boasts that its summer features are so good that at least half of all tickets sol...

A: Claim :- Less than half of all tickets sold are for Dreamfilms movies. Final Decision is Fail to rej...

Q: Help

A: From the addition law of probability, we have Based on addition law, the required probability is,

Q: The type of household for the U.S. population and for a random sample of 411 households from a commu...

A:  

Q: The birth weights for two groups of babies were compared in a study. In one group the mothers took a...

A: Click to see the answer

Q: Two ride-sharing companies, A and B, provide service for a certain city. A random sample of 52 trips...

A: Given that, Two ride-sharing companies, A and B. A random sample of 52 trips made by Company A and a...

Q: An educational researcher wishes to know if there is a difference in academic performance for colleg...

A: A)   The appropriate Null and Alternative Hypotheses are given below:   Null hypothesis:   H0: The f...

Q: The pulse rates of 147 randomly selected adult males vary from a low of 35 bpm to a high of 103 bpm....

A: Click to see the answer

Q: The ENGR/PHYS 216 faculty have a final exam grade distribution that is, miraculously, exactly a norm...

A: Let X be the observation. X follows normal distribution that has mean µ = 73 and the standard deviat...

Q: A manager for an insurance company believes that customers have the following preferences for life i...

A: Click to see the answer

Q: One assumption of the binomial distribution is that our sample size has to be greater than​ 10% of t...

A: Click to see the answer

Q: Section 9.2 2.) Find the range and standard deviation of the following set of data 191,183,186,197,1...

A: The given data set is, 191,183,186,197,173,192,208 The maximum value is, 208 The minimum value is 17...

Q: A study found that the national college graduation rate was​ 72%. Estimate the probability that the ...

A: The known values are, n = 220, p = 0.72 The mean of the sampling distribution of sampling proportion...

Q: Toy manufacturer has noticed that the number of faulty Toys detected in a production depends on the ...

A: Click to see the answer

Q: Based on previous research and sound theoretical considerations, an experimental psychologist believ...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: Winning team data were collected for teams in different​ sports, with the results given in the table...

A: State the hypotheses. Null hypothesis: Alternative hypothesis: Determine the value of the test st...

Q: A newsletter publisher believes that less than 50% of their readers own a laptop. For marketing purp...

A: Null Hypothesis: H0: p = 0.49 Alternative Hypothesis: Ha: p < 0.49 The decision is  to reject the...

Q: faculty have a final exam grade distribution that is, miraculously, exactly a normal distribution. L...

A: Obtain the minimum score required for the final exam to be in the top 10% of students and guarantee ...

Q: A random sample of six advertisements taken from Scientific American had the following fog indices (...

A:  

Q: Suppose that a random sample of size 1 is to be taken from a finite population of size N. a. How man...

A: (a) When the sample size is 1 then the samples that are possible to drawn without replacement from t...

Q: A good safety guidelines is that the mercury in fish should be below 1 part per million. Listed belo...

A: Given Information- Sample size, n = 7 Confidence, c = 90% Significance level, α = 1-0.9 = 0.1 Mean i...

Q: Daily Spot Exchange Rate, U.S. Dollars per Pound Sterling Date Rate Date Rate Date Rate 1-Apr-84 1.8...

A: Given that,

Q: Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward ...

A: Click to see the answer

Q: 1. Two packaging machines cause some amount of production losses while packaging different products....

A: Obtain the 90% confidence interval for the mean difference between the two machines X and Y. The 90%...

Q: QUESTION 39 A professor of women's studies is interested in determining if stress affects the menstr...

A: Click to see the answer

Q: Suppose​ 36% of​ movie-goers say that horror is their favorite movie genre. If a random sample of 12...

A: The known values are, Let X denote the number of​ movie-goers that prefer​ horror and it follows bi...

Q: part d please

A: From Normal table the z value for 95% confidence is 1.96.  

Q: The mean price of mid-sized cars in a region is $32,000. A test is conducted to see if the claim is ...

A: Type I error (α): The Type I error is committed, if the null hypothesis is rejected, when it might a...

Q: Wayne Gretzky was one of the ice hockey most prolific scorers when he played for the Edmonton Oilers...

A: State the hypotheses. That is, there is no evidence to conclude that the mean number of goals score...

Q: I need help with question 2, parts a -e

A: Click to see the answer

Q: In a crash test of 2018 Honda Odyssey​ minivans, collision repair costs are found to follow a normal...

A:  

Q: A market researcher believes that brand perception of one of the company's products may vary between...

A: Click to see the answer

Q: Consider a drug that is used to help prevent blood clots in certain patients. In clinical​ trials, a...

A: According to the provided data, the sample size, n is 6136 and the number of cases of nausea in the ...

Q: Two regular six-sided dice are tossed. Compute the probability that the sum of the pips on the upwar...

A: Click to see the answer

Q: Claim: 20% of adults smoke. In a survey of 1016 adults, 21% of them smoke. a) Express this claim in ...

A: Given information- a) Claim is that 20% of adults smoke. So proportion (p) is-  p = 0.20 Out of 1016...

Q: A pharmaceutical company has developed a new drug that they believe could improve students' performa...

A: Identify the correct option for the given hypothesis test. The correct option is identified below: R...

Q: A survey found that in a small town​ 60% of households had 0​ pets, 25% of households had 1​ pet, an...

A: The probability distribution table for number of pets in a household is,  

Q: A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn...

A: It is given that a jar contains 4 red marbles numbered from 1 to 4 and blue marbles which are number...

Q: Ethanol Railroad Tariffs. An ethanol railroad tariff is a fee charged for shipments of ethanol on pu...

A: Click to see the answer

Q: What correlation best describes the data association shown in the scatterplot? no correlation? a per...

A: Correlation:It is association between two variables how strongly they are related. If one variable i...

Q: Find the range and standard deviations of the set of data 25,25,27,23,25 The range_____ The standard...

A: Given data 23, 25, 25, 25 27 Range = Highest – lowest = 27 – 23 = 4 Mean is given by

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population o...

A: (a)  Solution: It is given that, Population standard deviation, =19 Margin of error,E = 07 The value...

Q: During one week in a rural hospital, 9 new cases of COVID-19 were admitted. Standard procedure is to...

A: State the hypotheses. That is, the mean temperature of a person testing positive for the virus is 1...

Q: According to a recent​ survey, 53% of adults say they never wear a helmet when riding a bike. Suppos...

A:  

Q: National data indicates that​ 40% of households own a desktop computer. In a random sample of 570​ h...

A: We are given the following data: Population mean , μ  = 0.40 Sample size, n = 570 Sample mean, x̅ = ...

Q: A recent newspaper article claimed that more people read Magazine A than read Magazine B. To test th...

A: the Null Hypothesis is H0:μA−μB=0 The alternative hypothesis is Ha:μA−μB>0

Q: The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to fi...

A: Given information- A sample of 523 suspected criminals is drawn, of these people, 141 were captured....

Q: A claim is made that the mean height of adult males is greater than 69 inches. A random sampleof 68 ...

A: Computation of test statistic value: Sample size is greater than 30. It is appropriate to use one sa...

Q: A random sample of 1111 fields of corn has a mean yield of 48.9 bushels per acre and a standard devi...

A: From the provided information, Sample size (n) = 11 Sample mean (x̄) = 48.9 Sample standard deviatio...

Q: 2. A simple random sample of 35 observations is derived from a normally distributed population with ...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: A study of fox rabies in southern Germany gave the following information about different regions and...

A: Given Region - 1sample size = n1 = 16Data 1 7 7 6 5 8 8 1 3 3 3 2 5 1 4 6 Mean and standard ...