A group of students take a exam and the adverage was m = 90 and the standard deviation was 7.8. Answer the questions using  raw scores, z scores and creating a curve. what percentage of the population lands between the raw scores of 86 and 105?

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: middle 99.7% of car costs are between what values

A: Given that  Mean(μ) = $22,000 Standard deviation (σ) = $2000   We know that  68-95-99.7 Empirical…

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: The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test…

A: Given,mean(μ)=22.2standard deviation(σ)=4.9

Q: At McMeck High School they decided to calculate the average GPA of all 950 students.  The average…

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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: Pam is planning to take a SAT Prep course. She asks 7 of her older sister's friends who used a prep…

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Q: A large chemistry exam course took their final exam. The mean was 75 with a standard deviation of 8.…

A: Obtain the Z-score of the random variable X equals 60. The Z-score of the random variable X equals…

Q: ss, the scores on a test are normally distributed. The middle 68% of the scores fall between 74 and…

A: According to the empirical rule, approximately 68% of the observations fall within 1 standard…

Q: In a given school year, the ACT test mean score was 21 with a standard deviation of 4.9.  The same…

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Q: Angela polled her first grade class about their family pets. The following data lists the number of…

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Q: The rainfall in a town last year measured 31 inches. If the annual rainfall has a mean of 48.89…

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

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Q: Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the…

A: From the provided information, Sample size (n) = 10 Sample mean (x̅) = 6.9 Sample standard deviation…

Q: You want to know the percentage of financial services companies that earned revenue less than 8181…

A: The objective of this question is to find the percentage of financial services companies that earned…

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

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Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

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Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 70,…

A: Given that,Mean = 72Standard deviation = 7And X=70

Q: Ngan scored 1 standard deviation below the class average on a statistics exam. The class average was…

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

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Q: The mean of a test score was 21.2 and the standard deviation was 5.1 . Identify the rest scores that…

A: Given Data Mean µ= 21.2. Standard Deviation σ= 5.1. Assuming that the given data is obtained from a…

Q: A medical lab tested a sample of 8 vials of blood for acidity on the pH scale.  Use this data to…

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Q: Nationally, patients who go to the emergency room wait an average of 4 hours to be admitted into the…

A: Solution: Let X be the waiting time. From the given information, x-bar = 2.7 hours, S=2.8 hours and…

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: The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The team's…

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Q: A population has mean 27 and standard deviation 12 . What is the data value that has a z-score of -2…

A: Given data, Mean=27 sd=12 z=-2 x=?

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

Q: The weight of a division I college football player has a mean of 255lb and a standard deviation of…

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Q: At McMeck High School they decided to calculate the average GPA of all 950 students. The average GPA…

A: Given data, n = 950 x = 2.38σ = 0.59Here confidence interval is not givenSo assuming 90% C.I…

Q: Jake needs to score in the top 10% of his class to earn a physical fitness certificate.  The class…

A: Solution: The class mean is μ= 78, and the standard deviation is σ= 5.5.

Q: Abby's score of 704 on the math portion of the 2002 GRE exam placed her in the 84th percentile rank.…

A: given data  Abby score x = 704 84th percentile σ = 141μ = ?

Q: find the mean if Z-score =14, st.Dev.=2.5, for a score of 8.5

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

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.