A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.5 years, and standard deviation of 2.7 years. If 14 items are picked at random, 4% of the time their mean life will be less than how many years? (Give answer to 1 decimal place)

Q: Americans spend an average of 5 hours per day online. If the standard deviation is 33 minutes, find…

A: Given,Mean, μ = 5 hours = 5×60 = 300 minutes.Standard deviation, σ = 33 minutes.We need to find the…

Q: manufacturer knows that their items have a normally distributed lifespan, with a mean of 4 years,…

A: Given that  Mean = M = 4  Standard deviation = SD = 1 X ~ Normal (M = 4 , SD = 1) P(X < a) = 8%

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: Compared to a graph of normally distributed data, the graph below shows a -skew. -bell curve.…

A: According to the provided information,

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.4…

A: Given, Mean = μ=11.4SD = σ=2.3Probability=0.02

Q: Assume that men's heights are normally distributed with mean 69.2 inches and standard deviation 2.9…

A: Let x be the heights of men's which follows normal distribution with mean 69.2 inches and standard…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.3…

A: Let "X" be the shortest lifespan of the item in years. Refer Standard normal table/Z-table,…

Q: Suppose that the lengths of pregnancies are normally distributed with a mean of 274 days and a…

A: The provided information is  µ=274 σ=10 P(X>280) P(X-µσ>280-27410)=P(z>0.6000)=0.2743 (from…

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.5…

A: The random variable X is defined as the lifespan of items which follows normal distribution with…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14 years,…

A: It is given that the mean is 14 years and standard deviation is 2.2 years. The z-score for 0.04…

Q: There are four brothers in a family.  Their ages are 7 years,10 years,15 years, and 21 years.…

A:

Q: Suppose that the lifetimes of TV tubes are normally distributed with a standard deviation of 1.2…

A:

Q: Scores on a test have a mean of 6 and a standard deviation of 9. Michelle has a score of 57. Convert…

A:

Q: Find the standard deviation if the mean = 2, mode = 5, variance = 56 . Round your answer to three…

A: We have given that,  Mean (x̄) = 2 , mode (z) = 5 and variance        (s^2) = 56 Then,  We will find…

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.2…

A: Let "X" be the shortest lifespan of an item. Find z-score (z): Refer Standard normal…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10 years,…

A: Let "X" be the shortest lifespan of an item. Draw the normal curve and shade the area of 0.05 to…

Q: 95% of 80 night students scored between 70% and 80% on a quiz. If this data is normally distributed,…

A: Given: Total number of students n=80.             let X  denote the marks of students then,  X ~N(µ,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.2…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 15 years,…

A: From the provided information, Mean (µ) = 15 years Standard deviation (σ) = 3.9 years Let X be a…

Q: A person completes a timed task and is told that their z-score for the task is 1.36. The mean for…

A: Given: Population mean (µ) = 10.75 Population standard deviation (σ) = 2.40 z-score = 1.36

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.…

A: Given: Mean μ=11.2 Standard deviation σ=3.7

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 65 and a…

A: Given that  Mean = M = 65  Standard deviation = SD = 9 X ~ Normal (M = 65 , SD = 9)

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.4…

A: The provided information is: Meanμ=12.40 Standard deviationσ=3.30   Consider that X is a random…

Q: is 6% is your standard deviation?

A: Given according to question Sample size(N)=? Confidence =95% Margin of error = 5% Now question says…

Q: A particular fruit's weights are normally distributed with a mean of 589 grams and a standard…

A: GivenMean(μ)=589standard deviation(σ)=28

Q: If the range of a data set is 64, find the approximate value of the standard deviation, using the…

A: Given information- Range = 64 We have to find the approximate value of the standard deviation using…

Q: In a study of 400 people, the mean age is 50 years and the standard deviation of age is 10 years.…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7…

A: Let X denote the lifespan of items and it follows normal distribution with a mean of μ=10.7 years,…

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: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 80…

A:

Q: If you buy one ticket everyday for 365 days, find the mean and standard deviation for the numbers of…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7…

A: Given : mean = μ = 2.7Standard deviation = σ = 0.9

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Mean()=136standard deviation()=1.2

Q: The annual rainfall in a town has a mean of 54.57 inches and a standard deviation of 12.84 inches.…

A: Given problem Given that   The annual rainfall in a town has a mean of 54.57 inches and a standard…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.7…

A:

Q: Discuss the difference between mean and mean deviation. Give an example of each of them.

A: From the given information we find the solution.