A distribution of values is normal with a mean of 158.6 and a standard deviation of 32.7. Answer the following to the nearest tenth. Find P46, which is the score separating the bottom 46% from the top 54%

Q: the mean is 146, and standard deviation is 35. A score of 251 is how many z-scores above the mean?

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Q: Find the z-score for the value 62, when the mean is 56 and the standard deviation is 2. O A. z=3.00…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: A population has mean 49 and standard deviation 5. What is the data value that has a z-score of 2?…

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

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Q: Heights for 16-year-old boys are normally distributed with a mean of 68.3 in. and a standard…

A: Given information: μ=68.3, σ=2.9 The P-value for the 96th percentile = 0.96 Determine the z-score…

Q: distribution of the height of a tomato plant is normal with population mean of 50 inches. The 80th…

A: Provided data is, distribution of the height of a tomato plant is normal with population mean of 50…

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: Adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. Find the…

A: The objective of this question is to find the height of a man given the z-score, the average height,…

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

A: Given information:

Q: Use the normal distribution of IQ scores, which has a mean of 75 and a standard deviation of 18 ,…

A: X~N(μ=75,σ=18)

Q: ind the range, the standard deviation, and the variance for the given samples. Round noninteger…

A: The given sample observations are:74, 70, 79, 81, 89, 72, 66, 78, 77, 73, 95 The objective is to…

Q: onsider this data set { 9, 3, 8, 8, 9, 8, 9, 18}. Find the standard deviation, s. Round off your…

A: given data, 9,3,8,8,9,8,9,18we have to find out the standard deviation(s) for the given data. x…

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: The distribution of head circumference for full term newborn female infants is approximately normal…

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Q: A successful basket ball player has a height of 6 feet 4 inches. Based on statistics his height…

A: As given, The basketball player has a height of 6 feet 4 inches and when his height is converted to…

Q: For a given data, calculate the mean, the median, the standard deviation. Show your work, do not…

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Q: The weekly revenue earned by a certain restaurant has a mean of $118,500 and a standard deviation of…

A: GivenMean(μ)=118500standard deviation(σ)=16800

Q: Find the standard score and the percentile for a data value 0.6 standard deviations above the mean.…

A: As per the question we have In standard normal distribution Mean µ = 0 Standard deviation σ = 1 0.6…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

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Q: Scores on an exam were normally distributed. Ten percent of the scores were below 64 and 80% were…

A: Introduction: Consider X as a normally distributed random variable, with mean μ and standard…

Q: The GMAC Insurance company reported that the mean score on the National Drivers Test was 77.8 with a…

A:

Q: Use the normal distribution of IQ scores, which has a mean of 75 and a standard deviation of 12, and…

A: Given: μ = 75 σ = 12 Formula Used: Z-score = X-μσ

Q: 11. Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are…

A: Normal Distribution : A random variable x is said be normal distribution with the probability…

Q: The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

A:

Q: The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value…

A: Reviewing information, Given, μ=mean=4.68σ=standard deviation=2.83x=9.38

Q: Select the letter of the correct answer: A random variable X has a mean of 45 and a standard…

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Q: Adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. Find the…

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Q: what is the z score for a person who received an SAT mathematics score of 685?

A: Here Given, The mean mathematics score for seniors who took the SAT in 2018 was 531. If the standard…

Q: Circle the data values that are Within one Standard deviation of the Imean (9, 12, 16, 19, 24)

A: Given that  The data are X : 9 , 12 , 16 , 19 , 24

Q: The mean score on the ACT test was 19.3 and the standard deviation was 5.4. The distributions of…

A: The z-score of a random variable X is defined as follows: z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

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Q: It states that there is significant difference between the observed and expected data.

A: Alternative Hypothesis