The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of 13 days. A distribution of values is normal with a mean of 265 and a standard deviation of 13. What percentage of pregnancies last beyond 285 days? P(X > 285 days) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Q: A distribution of values is normal with a mean of 123.2 and a standard deviation of 62 Find P35,…

A: Given: A distribution of values is normal with  μ=123.2 , σ=62

Q: Round each z-score to the nearest hundredth. A data set has a mean of x = 218 and a standard…

A: Given , x = 218    , σ = 40 We know , z-score = x-xσ

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A:

Q: tribution of lifetimes of fluorescent lightbulbs. Calculate the shaded area under the curve. Express…

A: Given: Population mean time  μ=5.6 Population standard deviation  σ=1.50000 Let X ~ N(5.6, 1.50)

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Let X be IQ score  from normal distribution with mean (μ) = 100 and standard deviation (σ) = 15

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266.9…

A: Given: μ=266.9σ=15.4α=1-0.68=0.32

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with a…

A: Mean = 1025 Standard deviation = 85 Raw score = 950

Q: People with z-scores about 2.5 on an IQ test are sometimes classified as geniuses. If IQ scores have…

A: The z-score denotes how many standard deviations away from the mean a raw score is The z-score can…

Q: a poll of 125 randomly selected U.S. adults, 62 said they favored a new proposition. Based on this…

A:

Q: normal distribution has a mean of 136 and a standard deviation of 4. Find the z-score for a data…

A: given data, normal distribution μ=136σ=4z score for a data value of 132=?

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

A:

Q: A normal distribution has a mean of 81 and a standard deviation of 4. Find the z-score for a data…

A:

Q: A normal distribution of scores has a mean of 72 and a standard deviation of 11.  Find the z-scores…

A: Problem 1:Given:μ = mean = 72σ = standard deviation = 11 We can solve for z-scores using this…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults in those scores are…

A: Let X be the random variable for the IQ scores of adults. X~Nμ, σ Where, Mean (μ)=100Standard…

Q: A distribution of values is normal with a mean of 163.1 and a standard deviation of 74.5.

A: From the given information, the mean is 163.1 and standard deviation is 74.5. Need to fine P12. That…

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

A:

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026 h with a…

A: Given :- A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026…

Q: A distribution of values is normal with a mean of 204.2 and a standard deviation of 39.2. Find P84,…

A: Given: A distribution of value is normal with mean of 204.2 A standard deviation of 39.2 It is…

Q: A distribution of values is normal with a mean of 187.9 and a standard deviation of 71.2. Find P80,…

A:

Q: that the distribution is normal. What is the chance that three indoor cats die between 15 and 18…

A: here mean= 14 year standard deviation  = 2.5 year

Q: A commonly used standardized test in psychology research is designed so that the mean score of all…

A: From the provided information, Mean (µ) = 140 Standard deviation (σ) = 20 X~N (140, 20) Here X be a…

Q: On an exam with a mean of M=39, you obtain a score of X=35. Would you prefer a standard deviation…

A: Given that, Mean M =39 X=35, prefer a standard deviation of s= 2 or s=8:

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…

Q: Assume that a normal distribution of data has a mean of 16 and a standard deviation of 3.Use the…

A: Population mean =16  Standard deviation =3  We have to find the percentage of values lies

Q: Scores had a Mean of 82 and a Standard Deviation of 5 0. Find a z score for x =81 and x = 68 Z-…

A:

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

A:

Q: A set of data item is normally distributed with a mean 218 and a standard deviation of 49. Find the…

A:

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A:

Q: Scores on an exam were normally distributed. Ten percent of the scores were below 60.0 and 80% were…

A:

Q: A normal distribution has a mean of 140 and a standard deviation of 7. Find the z-score for a data…

A:

Q: Assume the data set described is normally distributed with the given mean and standard deviation,…

A: Given, μ = -14.3σ = 1.7n = 140    To find, P (-17.7 < X < -10.9) = ?

Q: A normal distribution has a mean of 85 and a standard deviation of 6. Find the z-score for a data…

A: We have given that Mean(µ) = 85Standard deviations (σ) = 6X ~ N (µ, σ )= N(85, 4) The z-score for…

Q: A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1026 h with a…

A: Given, Mean life span of 1026 h and standard deviation 86 h.

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 distribution of heights in a population of women is approximately normal. Sixteen percent of the…

A: given data  normal distribution empirical rule: approximately 68 -95 -99.7% data fall within 1σ…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores…

A:

Q: A distribution of values is normal with a mean of 120 and a standard deviation of 4. Find the…

A: Let us denote X= the variable Given that X follows a normal distribution with mean=120 and standard…

Q: A distribution of values is normal with a mean of 197.6 and a standard deviation of 24.6. Find P40,…

A: Given that X denotes the value of the distribution that follows normal distribution  With mean=197.6…

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.