The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days and a standard deviation of 15 days. What percentage of pregnancies last beyond 282 days? P(x > 282 days) = %3D Enter your answer as a percent accurate to 2 decimal places (do not enter the "%" sign).

Q: The distribution of scores on a mathematics placement exam is close tonormal. Where the mean is x¯ =…

A: 68-95-99.7-rule:Let X be an observation from a normal distribution, having mean µ and standard…

Q: The mean lifetime income of high school graduates in the United States is 2 million dollars higher…

A: @solution:::   Given data : typical high school student 7.5 hours 180 days  for 4 years  For…

Q: Find the proportion of Normally distributed observations with a zz-score above 0.84. Give your…

A: Let Z be the random variable from normal distribution with z-score above 0.84 then we will find the…

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults in those…

A:

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

A:

Q: The mean age of a class of twenty-five students is 23.8 years. How old would a twenty-sixth student…

A: The mean age of a class of twenty-five students is 23.8 years. The formula to calculate the mean…

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…

A: Excel formula: =NORMINV(0.305,0,1)=-0.5100

Q: Scores on a test are normally distributed with a mean of 123 and a standard deviation of 20. What…

A:

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: Given Information: Mean μ=69.0 inches Standard deviation σ=2.8 inches. To find the z-score of a man…

Q: Español A certain manufacturer makes 400W light bulbs. Assume that these light bulbs have lifetimes…

A: Given that: Population mean=μ=435. Population standard deviation=σ=60.

Q: Americans love ice cream .The annual per capita consumption of ice cream ,in pounds ,in the united…

A:

Q: A distribution of values is normal with a mean of 110 and a standard deviation of 2. Find the…

A: It is given that the mean is 110 and the standard deviation is 2.

Q: The mean grade on a statistics exam is/M=82, the standard deviation is=12. What actual grade has a…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: A math class completes an exam and it is found that the class mean is 85 and the standard deviation…

A: The Chebyshev's theorem and Empirical rule is use to calculate the proportion or percentages of…

Q: the average grade is 84 with a standard deviation of 4. What is each grade for -1 2 0 1.5 -1.25

A: Given Mean μ=84Standard deviation σ=4 The formula for Z score isZ=X-μσX=Z×σ+μ

Q: The lives (in hours of continuous use) of 100 randomly selected flashlight batteries are: Interval…

A: According to the given data, first form the following table:IntervalFrequency(fi)Midpoint(xi…

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A: By empirical rule, 68% of data falls within one standard deviation. Thus, based on given info,…

Q: The mean always has a z-score (value) →

A: When the data is converted into z scores, the mean will always end up being zero.

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: About what percent of X values lie between the first and second standard deviations from the mean…

A: According to the empirical rule of normal distribution, within one standard deviation of the mean,…

Q: The amount of time in years that an entry-level employee for a shipping company stays with the…

A: given data exponential distributionμ = 4.41λ = 14.41find 64th  percentile.

Q: Change z-score (-2.00) into X value – Mean = 50, standard deviation = 10

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

Q: A distribution of values is normal with a mean of 90 and a standard deviation of 3. Find the…

A:

Q: Round every calculation to 2 decimal points unless the specific question asks for something…

A: Givensample size(n)=36Mean(μ)=99standard deviation(σ)=20

Q: ) 5.2°F per month

A:

Q: A data set has a mean of 70.7 and a standard deviation of 6.2. The score of 69, is how many standard…

A:

Q: For each item, show ALL calculations. High density lipoprotein (HDL) in healthy males follows a…

A:

Q: The area of the shaded region is (Round to four decimal places as needed.)

A: mean = 100 standard deviation = 15

Q: The length of time running shoes last can be modeled by an exponential distribution. On average a…

A:

Q: The percentile gives an indication of the relative position of the scores. True or False?

A: Partition values are the values which divide the series into a number of equal parts.  * Three…

Q: Round each z-score to the nearest hundredth. A data set has a mean of  x = 4079  and a standard…

A:

Q: IQ is normally distributed with a mean of 100 (SD = 15). What score would a person need to be in the…

A: Let X denote the IQ scores and it follows normal distribution with mean of 100 and standard…