A manufacturer knows that their items have a normally distributed length, with a mean of 5.5 inches, and standard deviation of 1.6 inches. If 7 items are chosen at random, what is the probability that their mean length is less than 7.2 inches?

A manufacturer knows that their items have a normally distributed length, with a mean of 5.5 inches, and standard deviation of 1.6 inches. If 7 items are chosen at random, what is the probability that their mean length is less than 7.2 inches?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

See similar textbooks

Related questions

Q: A researcher wishes to examine the relationship between years of schooling completed and the number…

Q: You roll 36 dice over and over. what is standard error of sampling distribution of x-bar (the mean)?

A: The dice is rolled 36 times. The probability of getting a face is 1/6. X follows Binomial ( n=36 ,…

Q: If an orange tree sapling is planted, it has a 30% chance of growing into a healthy and produc…

A: Given Information: An orange tree sapling has a 30% chance go growing into a healthy and productive…

Q: Loved Solution The balance owed on your credit card triples from $800 to $2400 in 9 months. If the…

A: Given: The exponential function: f(X) = 800(1+0.13)X X = 34.9 months

Q: b) 1000 students were graded according to their IQ and Economic condition. Test whether there is…

A: The question is about categorical data analysis Given :

Q: X₁, X2,..., X5 be a random sa test for

A: Given: X1,X2,...,X5 be the random sample from beta. To find UMP.

Q: Many patients get concerned when a test involves injection of a radioactive material. For example…

A: Given data: .

Q: Assume that random guesses are made for six multiple choice questions on an SAT test, so that there…

A: Given: Number of trials n=6 Probability of success p=0.65

Q: As reported in Table 5.1, the mean SAT Evidence-Based Reading and Writing (ERW) score was 536 with a…

A: (1) Obtain the percentage of students scored above 625. The percentage of students scored above 625…

Q: The mean value of land and buildings per acre from a sample of farms is $1600, with a standard…

Q: INSTRUCTION: Classify the following researches based on the different types of research. (NO NEED…

A: Quantitative : if information can be expressed in numbers. (something that can be counted)…

Q: Find the mean for the data items in the given frequency distribution. Round to the nearest…

A: Given data is x 1 2 3 4 5 6 7 8 9 10 f 6 3 7 2 7 6 8 10 12 11

Q: Find the range: 7, 16, 1, 15, 11

A: The minimum value is 1 and the maximum value is 16.

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: Given data: Mean = 122000 Standard deviation =41000 Sample size = 97

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…

A: Given data mean=2941 standard deviation=556

Q: Video: What is the Margin of Error? Video: When to Use z-test or t-test? For a normal distribution,…

A: Given Standard deviations=2 Sample size=31

Q: d) Suppose the relative frequency distribution for the data is bell-shaped, then what is the 16th…

Q: The highest temperatures ever recorded (in °F) in 32 different U.S. states are shown below.…

A: Given: 100 109 115 118 100 110 115 119 105 110 116 120 105 112 117…

Q: In order to study the average number of continuous push-ups that his students can perform, a…

A: Given information, In order to study the average number of continuous push-ups that his students can…

Q: The best point estimator for the population mean is the sample mean. True False

A: TRUE

Q: If n=20, ¯xx¯(x-bar)=46, and s=2, find the margin of error at a 90% confidence level Give your…

Q: Find the value of the test statistic z using z = The claim is that the proportion of drowning deaths…

A: Given that: Sample size, n = 681 Population proportion, p = 0.25 Sample proportion, p^=0.30

Q: 2. A case of softdrinks has 12 bottles, three of which contain less than what is labeled per bottle…

A: (a)

Q: Both sets of values have an average of 13. Is set A's standard deviation smaller, larger or about…

A: Average of set A and B is 13 Set A: 1 2 3 23 24 25 Set B: 9 10 11 14 16 18

Q: Given are the set of Y (price) and X (demand) of a certain commodity. X- {9,7,8,9,3,2} and Y-…

A: Given that X Y X \cdot YX⋅Y X^2X2 Y^2Y2 9 6 54 81 36 7 5 35 49 25 8 7 56 64 49 9 6 54 81…

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

A: Given that. X~N( μ , ?^2 ) μ=4.6 , ?=0.9 Z-score =( x - μ )/?

Q: 4.21. The following sample data was obtained. What is the expected ±3 sigma spread of the process…

Q: . According to a genetic theory, there is a 10% chance that a randomly selected person from a large…

A: Given info: According to a genetic theory, there is a 10% chance that a randomly selected person…

Q: 4. In a test designed to assess small motor coordination, kindergarten pupils are timed on their…

A: The question is about normal dist. Given : Popl. mean time required to complete the task ( μ ) = 36…

Q: and standard deviation 1.8 ppm. 38 randomly selected large cities mal places where possible. at is…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 51 69 73 74 75 82 89 93 98 100 and the range. 68 69

A: Given Range =Highest value - lowest value

Q: If you have a set of samples S= 0, 0, 1, 0, 1, 0 from a binomial distribution where P(x=0) = 1-μ and…

A: Given: A sample S=0, 0, 1, 0, 1, 0 is from a Binomial distribution where Px=0=1-μ and Px=1=μ.

Q: Use this to predict the number of situps a person who watches 13 hours of TV can do (t

A: The regression equation is given by y = -1.153x + 39.487

Q: S 3043 (Online) HW Module C DETAILS O O Temperature is used to measure the output of a production…

Q: A population of values has a normal distribution with μ = 47 and a = 87.4. A random sample of size…

A: Given problem is normal distribution Mean=μ=47 Standard deviation=σ=87.4 Random sample size=n=95…

Q: Academic Performance 0 to 9 10 to 19 20 to 29 30 to 39 40 to 49 50 to 59 60 to 69 70 to 79 80 to 89…

A: Frequency are used to measure the count of the larger data set. It also used to understand the…

Q: A random sample of size 21 was taken from a normal population. The sample average was 9.87 and the…

Q: Based on historical data, your manager believes that 29% of the company's orders come from…

Q: In a study on drug use in the prison population carried out in 2006, it was found that 63% of…

A: The hypothesized proportion is p0=0.63. The sample size is n=4985. The favorable cases are X=3227.…

Q: A student scores 80 in math which has a mean of 70 and standard deviation of 10. He also scores 85…

A: GivenStudent scores 80 in math with Mean(μ)=70standard deviation(σ)=10student scores 85 in english…

Q: In an experiment, you are measuring a 20.0-gram ball using two different scales, and your data looks…

A: Given; scale-1 n = 4 Scale-2 n = 4 Formula Used: Sample Mean X = ∑Xin = X1+X2+X3+............+Xnn…

Q: The probability of winning a large stuffed animal in the ring-toss game at a fair is 10%. a) Using a…

A: Given that the probability of winning a large stuffed animal in the ring-toss game at a fair is 10%.

Q: summarizes the age-related information they collected: Age Number of Customers 60 65 61 72 64 88 94…

A: Age number of customers <20 65 20-29 61 30-39 72 40-49 64 50-59 88 >=60 94 Total…

Q: Determine the P-value for a test of significance with t= 1.990, n = 95 and Haμ 100. ‡ Type your…

Q: You currently work for the DARPA, the Defense Advanced Research Projects Agency. You've received…

A: The given joint probability distribution function (pdf) for U and S is: U S Share of population…

Q: Suppose that you are working for a chain restaurant and wish to design a promotion to disabuse the…

Q: ou measure 23 textbooks' weights, and find they have a mean weight of 55 ounces. Assume the…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.7…

Q: In a recent poll, 550 people were asked if they liked dogs, and 10% said they did. Find the margin…

A: Givensample size(n)=550p^=10%=0.10confidence level=99%

Q: The fish population of a small lake is has been found and is summarized in the table below. One fish…

A: Obtain the probability that the fish is a male given that it is perch. The probability that the fish…

Question

A manufacturer knows that their items have a normally distributed length, with a mean of 5.5 inches, and standard deviation of 1.6 inches.

If 7 items are chosen at random, what is the probability that their mean length is less than 7.2 inches?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here