A manufacturer knows that their items have a normally distributed length, with a mean of 12.3 inches, and standard deviation of 3.2 inches. If one item is chosen at random, what is the probability that it is less than 13 inches long?___________ A manufacturer knows that their items lifespans are normally distributed with mean = 5.6 and standard deviation = 0.8. What proportion of the items' lifespans will be longer than 8 years? ___________________ Round to 4 decimal places. A particular fruit's weights are normally distributed, with a mean of 488 grams and a standard deviation of 11 grams. If you pick one fruit at random, what is the probability that it will weigh between 464 grams and 472 grams_____________

Q: deviation of 5 grams. If you pick 23 fruits at random, then 9% of the time, their mean weight will…

A: Given Let X be the mean weight in grams Given that X is normally distributed with mean =455 gram…

Q: The cost of textbooks is normally distributed with a mean of $203. You do not know the population…

A: Solution: Let X be the cost of textbook. From the given information, x-bar=$203, s=$48 and n=4.

Q: A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be…

A:

Q: A large population has a mean of 60 and a standard deviation of 8. A sample of 50 observations is…

A: GivenMean(μ)=60standard deviation(σ)=8sample size(n)=50

Q: A particular fruit's weights are normally distributed, with a mean of 381 grams and a standard…

A: Given μ=381σ=25n=33

Q: A particular fruit's weights are normally distributed, with a mean of 783 grams and a standard…

A: Given: Population mean (µ) = 783 Population standard deviation (σ) = 20 Sample size (n) = 24…

Q: A particular fruit's weights are normally distributed, with a mean of 771 grams and a standard…

A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…

Q: A significant number of students completed a Statistics exam, and the final marks had a mean of 70…

A: Answer - A significant number of students completed a Statistics exam, and the final marks had a…

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 14 times. Use…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The spread or dispersion of a set of data about the mean will be large if the standard deviation is…

A: Solution

Q: If the Standard Deviation of a data set is 2.1, what is the variance of that data set? State your…

A:

Q: The math department at a university gives all of the students in a certain math class the same final…

A: Let  denote the student score receive in the final exam.The random variable  follows a normal…

Q: how much will the probability that the students are aged above 15 years old change?

A:

Q: A particular fruit's weights are normally distributed, with a mean of 639 grams and a standard…

A: The population mean and standard deviation are 639 grams and 36 grams respectively. It is given that…

Q: A particular fruit's weights are normally distributed, with a mean of 526 grams and a standard…

A: Given that, Mean = 526 Standard deviation = 36 Sample size = 7

Q: A particular fruit's weights are normally distributed, with a mean of 657 grams and a standard…

A: Let X: a particular fruit's weightsX~N(μ,σ)where mean(μ)=657 grams  standard deviation(σ)=38 grams…

Q: Suppose that a laboratory analyzes biological specimens to determine the concentration of toxins.…

A: Given:

Q: A particular fruit's weights are normally distributed, with a mean of 702 grams and a standard…

A: Introduction: Define X as the random variable of interest here, denoting the weight of a randomly…

Q: A particular fruit's weights are normally distributed, with a mean of 222 grams and a standard…

A: Solution: Let X be the  fruit's weights are normally distributed with mean 222 grams and standard…

Q: A particular fruit's weights are normally distributed, with a mean of 405 grams and a standard…

A: The normal distribution is the most useful theoretical distribution for continuous variable.  For…

Q: A particular fruit's weights are normally distributed, with a mean of 367 grams and a standard…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 724 grams and a standard…

A: Given Mean=724 Standard deviation=9 n=18

Q: A particular fruit's weights are normally distributed, with a mean of 256 grams and a standard…

A: given data  normal distribution μ = 256σ = 29n = 8P(x¯>z) = 0.17

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: If the Variance of a data set is 16.01, what is the Standard Deviation? State your result as a…

A: Standard deviation is the square root of variance

Q: A particular fruit's weights are normally distributed, with a mean of 207 grams and a standard…

A: It is given that the fruit weights have a normal distribution with mean 207 grams and standard…

Q: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…

A: Given data,Mean μ=50sd    σ=10P(X<44)=?

Q: The weights for a population of North American raccoons have a bell shaped frequency curve with a…

A:

Q: The cost of textbooks is normally distributed with a mean of $232. You do not know the population…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 421 grams and a standard…

A: Given Population Mean, μ=421 Population standard deviation, σ=20 Sample size, n=3

Q: Leave all probabilities as percentages. Define x on all problems with data. The lengths of human…

A: Let x be the lengths of human pregnancies which follows normal distribution with mean 268 days and…

Q: In one town, the number of pounds of leafy greens consumed per person per year has a mean of 10…

A: (1) Standardized z-score:   The standardized z-score represents the number of standard deviations…

Q: A particular fruit's weights are normally distributed, with a mean of 465 grams and a standard…

A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…

Q: A population of scores has u=55 and o=15.  if 5 points are subtracted from every score in the…

A: The given data is μ = 55σ = 15 Suppose x1, x2, x3, x4, ..., xn are the data points…

Q: A particular fruit's weights are normally distributed, with a mean of 751 grams and a standard…

A: Draw the normal curve and shade the area of 0.17 to the right of z under the normal curve. Since…

Q: A particular fruit's weights are normally distributed, with a mean of 431 grams and a standard…

A: Let X be the mean weight in grams. X is normally distributed with mean, μ=431 grams and standard…

Q: A particular fruit's weights are normally distributed, with a mean of 678 grams and a standard…

A: Normal distribution is a continuous probability distribution which has many real life applications.…

Q: A particular fruit's weights are normally distributed, with a mean of 648 grams and a standard…

A: The population mean and standard deviation are 648 grams and 16 grams respectively. It is given that…

Q: The scores on the final exam in a statistics course are close to being normally distributed. The…

A: Normal distribution: It is a continuous probability distribution, that is bell-shaped with lighter…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: If you pick 25 fruits at random, then 9% of the time, their mean weight will be greater than how…

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.