A distribution is known to be bell-shaped, with a mean of 82 and a standard deviation of 6. What percentage of the data should fall below 76?

Q: On a final  examination in mathematics , the mean was 72  and standard deviation was 15 . Determine…

A: given information: μ=72σ=15x=65 we want to determine the z score . z=x-μσ  =65-7215  =-0.4667

Q: Suppose that the weights of candy bars vary according to a normal distribution, with mean of 62…

A: The question is about normal dist. Given : The mean weights of candy bars ( μ ) = 62 g The std.…

Q: A quantitative data set has mean 15 and standard deviation 44. Approximately what percentage of the…

A: It is given that the mean and standard deviation of the quantitate data set are 15 and 44,…

Q: A quantitative data set has mean 30 and standard deviation 4. At least what percentage of the…

A:

Q: The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean…

A: Given that :  Mean = 14 inches S. D = 3 inches Here we use standard normal distribution concept…

Q: The Sum of Squared Errors for a data set of 18 numbers is 36. What is the standard deviation?

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Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: The heights of men, in centimetres, are normally distributed with a mean of 175 and a standard…

A:

Q: A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of z =…

A: z-score of z = - 2 is -7.55 Reason: z-score of z = - 2=-2-meanstandard deviation=-2-30040=-7.55

Q: A national achievement test is administered annually to 3rd graders. The test has a mean score of 80…

A: A national achievement test is administered annually to 3rd graders. The test has a mean score of 80…

Q: A test has a mean of 140 and a standard deviation of 27. What proportion of people have scores…

A:

Q: If the height of 1000 students in a University Campus closely follows a normal distribution with a…

A:

Q: Assume that family incomes are normally distributed with mean 30,000php and a standard deviation of…

A: Given :  Mean = 30000 Sd = 10000

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: How many minutes did it take him to finish the face?

A: It is given that the distribution of finishing time for men was approximately normal with mean 242…

Q: Human body temperature have a mean of 98.20F and a standard deviation of 0.62F. Sally's temperature…

A:

Q: Suppose a variable is normally distributed. What percentage of scores fall between one standard…

A:

Q: THe distribution of cholesterol levels in teenage boys is approximately normal with a mean of 170…

A: Given The distribution of cholesterol levels in teenage boys is approximately normal with a mean of…

Q: The scores on a standardized test are approximately normal with a mean of 83 and a standard…

A: Let T be minimum score needed to be in top 8%

Q: A national secondary achievement test is administered annually to high school students. The test…

A:

Q: amount of honey produced by local beekeepers is normally distributed with a mean of 140 pounds and a…

A: given data, normal distribution mean=140standard deviation=31smallest amount in the top 14% produced…

Q: The final grades in a math class has a mean of 77 and a standard deviation of 9.77 if the professor…

A: Here we need to find the cutoff for A grade. Given that the top 10% are given A. We assume that the…

Q: The stature of men is normally distributed, with a mean of 69.0 inches and a standard deviation of…

A: From the given information, the mean of women is 63.6 inches and standard deviation is 2.5 inches.…

Q: What proportion of people has diastolic blood pressure less than 80?

A:

Q: What is the percentile rank of the score 65?   In an English test , the mean is 60 and the…

A: Given X=65μ=60σ=6

Q: are normally distributed with a mean of 100 and a standard deviation of 15. What IQ is in the 90th…

A: Kwe have to find out given probabiity..

Q: The weights of men are normally with a mean of 172 pounds and a standard deviation of 29 pounds.…

A: Let X be the random variable from normal distribution with mean (μ) = 172 and standard deviation (σ)…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A:

Q: Smelt is a type of flood fish. Smelt lengths are normally distributed with a mean of 15 cm and a…

A: Given: µ = 15 σ = 1

Q: The playing life of a Sunshine radio has a Normal distribution with a mean of 600 hours and a…

A: The playing life of a radio is normally distributed with mean 600 hours and standard deviation of…

Q: a set of piano prices are normally distributed with a mean of 3000 dollars and a standard deviation…

A:

Q: You are provided with a mean of 28.18 with a standard deviation of 4.33.  What percent of students…

A:

Q: Suppose the exam average in a class is 55% with a standard deviation of 4. What proportion of…

A: Given: Mean μ=55%Standard deviationσ=4% Consider, X be the random variable that follows the normal…

Q: Suppose that a normal distribution has a mean of 57 and a standard deviation of 10.2. Between what x…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.