Thirty randomly selected students took the calculus final. If the sample mean was 74.2 and the standard deviation was 5.2, find the margin of error of a 99% confidence interval for the mean score of all students.  Round to the nearest hundredth.

Q: A brother and sister took two different standardized tests.  He scored 114 on a test that had a mean…

A: Given that, A brother and sister took two different standardized tests.  He scored 114 on a test…

Q: Americans spend an average of 5 hours per day online. If the standard deviation is 33 minutes, find…

A: Given,Mean, μ = 5 hours = 5×60 = 300 minutes.Standard deviation, σ = 33 minutes.We need to find the…

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: On a nationwide math test, the mean was 51 and the standard deviation was 4. If Roberto scored 70,…

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Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

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Q: A) Construct a 90% confidence interval B) Based off your interval, is there convincing evidence…

A: Let the two samples be people who exercised for 30 minutes and who exercised for 60 min. Given that,…

Q: A successful basketball player height is 203 cm. His converts to the z score of 4.10. How many…

A: Consider, X = 203  z-score = 4.10 z-score is a numerical value that tells the number of standard…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: If the grades are normally distributed and 8 students received a B, how many students took the…

A: Let C denote the grades of students. Given that X follows N(mean = 82, SD = 5), then  Z = (X -…

Q: Todd just got back his exam grades in three classes. In biology the class mean was 75.80 with a…

A: Consider X as the random obtained score in Biology, Political Science or Economics. For comparing…

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

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Q: find the z-number associated with a 92% level of confidence. find the z-number associated with a…

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Q: Matthew made the "Reach for the Top" trivia team because he consistently gave the correct answers in…

A: Let, Matthew made the "Reach for the Top" trivia team because he consistently gave the correct…

Q: On a nationwide math test, the mean was 63 and the standard deviation was 10. If Roberto scored 85,…

A: GivenMean(μ)=63standard deviation(σ)=10score(x)=85

Q: A Population has a Mean of 90 and a standard deviation of 25.  A sample of 20 college students is…

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Q: Tom scored a 125 on a measure of math ability and a 42 on a measure of verbal ability.The means and…

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Q: The GMAC Insurance company reported that the mean score on the National Drivers Test was 67.5 with a…

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Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

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Q: Tom runs a large animal shelter. At Tom's shelter, the length of stay for puppies has a mean of 76…

A: Given,mean(μ)=76standard deviation(σ)=13and X=41

Q: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

A: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

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

A: The z-score will be used to answer the given question. The formula for the z-score is z=x-μσ that…

Q: Joseph has taken two tests in his chemistry class. He scored 72 on the first test, for which the…

A: GivenFor first test:-x=72Mean(μ)=65standard deviation(σ)=8For second test:-x=60Mean(μ)=45standard…

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

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Q: What raw score does he need to get the certificate

A: Given that Mean = 83 And SD = 3.2

Q: George got a 75 on a math test. The reliability of the math test was .85 and the standard deviation…

A: Confidence Interval: A confidence interval, refers to the probability that a population parameter…

Q: Nick takes a Organic Chemistry test and scores a 40. The Chemistry test scores were normally…

A: Given The data is as follows: Nick's organic chemistry score, X=40 μ=50σ=4   Sally's physics…

Q: Given the data: 47, 55, 57, 63, 73. Find the standard deviation. Round the final answer to the…

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Q: Use the sample mean(78.5)and sample standard deviation (12.3671)in your calculations below. Use…

A: Given information:

Q: For a study conducted by the research department of a pharmaceutical company, 225 randomly selected…

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Q: Omar is trying out to be a firefighter.  On the written exam, the mean of everyone who takes the…

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Q: A candy manufacturer has replaced 5.17% of their chocolate bars with a new mystery flavor. Find the…

A: Given: Sample size (n) = 424 p(chocolate bars with a new mystery flavor) = 5.17% = 0.0517

Q: Sarah​'sscore on the Stats midterm was 81 points. The class average was 76 and the standard…

A: Given that  Mean = 76 SD = 5 And the Sarah's score is X = 81

Q: The manager of a department store wants to estimate the average amount of money a customer will…

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Q: The IQ score that separates the bottom 15% from the top 85% is P,5 =. (Round to the nearest…

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Q: On a nationwide math test, the mean was 51 and the standard deviation was 4. If Roberto scored 85,…

A: We have given the mean and standard deviation of a nationwide math test.Mean μ = 51Standard…

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90,…

A: Given that, Mean = 72 Standard deviation = 7