Question

In: Statistics and Probability

<<<<<<<<<<Please USE DATA IN QUESTION #9 TO ANSWER QUESTION 10#. #####please answere question 10 using question...

<<<<<<<<<<Please USE DATA IN QUESTION #9 TO ANSWER QUESTION 10#.

#####please answere question 10 using question 9 .............

9. A company that manufactures bicycles receives steel rods in large shipments from a supplier. From past experience, the manager knows that inches and that the lengths .12 σ = 0 are approximately normally distributed. He takes a random sample of 12 rods. The lengths of the sampled rods are as follows:

12.12 11.90 11.94 12.05 12.07 11.97

12.01 12.08 12.05 12.12 12.14 11.15

The manager wants to estimate the mean length of the latest shipment of rods using a 99 percent confidence interval. Help this manager construct a confidence interval and interpret it.

10. With reference to problem 9 above, the company needs rods with a length of 12 inches in order to assemble the bikes properly. Because too-large and too-small rods are unsuitable, shipments not meeting the requirement are sent back to the supplier. Help this manager determine whether the shipment should be accepted or rejected. Perform a hypothesis testing with . 0% α = 1

Solutions

Expert Solution

9) Given sample data:

Sample size, n=12

Sample mean = = 12.12+11.90+11.94+12.05+...11.15/12

=11.9667

Given population standard deviation =0.12

Since the lengths are normally distributed and is known, we use Z interval.

Here, for 99% confidence , Z = Z_0.001/2 = Z_0.005 = 2.576

Margin of error E = Z_. = 2.576*0.12/ = 0.0892

Therefore 99% confidence intervel to estimate the true mean leangth is

(+-E)= (11.9667 +- 0.0892) =(11.8775,12.0559) (11.88,12.06)

Interpretation: with 90% confidence we can conclude that the true mean length of rods from the shipment is between 11.88 and 12.06 inches.

10) Let denote the true mean length of rods received in the large shipment.

Hence, we need to test if H₀: =12 inches

H₁: 12 inches

Test statistic: Z= = 11.9667-12/0.12/ =-0.961

Given that = 10%

Critucal values +- Z = +- 1.645, +-1.645 = -1.645, +1.644

Decision: Do not reject H₀

Conclusion: There is sufficient evidence to conclude that the shipment should be accepted.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Please use data from #9 to answer #10 9. A company that manufactures bicycles receives steel...

Please use data from #9 to answer #10 9. A company that manufactures bicycles receives steel rods in large shipments from a supplier. From past experience, the manager knows that σ = 0.12 inches and that the lengths are approximately normally distributed. He takes a random sample of 12 rods. The lengths of the sampled rods are as follows: 12.12 11.90 11.94 12.05 12.07 11.97 12.01 12.08 12.05 12.12 12.14 11.15 The manager wants to estimate the mean length of...

Use this sample data set to answer the next question 2, 3, 5, 7, 9, 10,...

Use this sample data set to answer the next question 2, 3, 5, 7, 9, 10, 14, 15, 16 From this data: Find the mean, median, and mode(s) if any exist. Find the variance and standard deviation of this sample Find the values of Q1, Q2, Q3 and the IQR

Info from question 8 with the answer at the end. Please use for question 9. 8....

Info from question 8 with the answer at the end. Please use for question 9. 8. Walker & Campsey wants to invest in a new computer system, and management has narrowed the choice to Systems A and B. System A requires an up-front cost of $125,000, after which it generates positive after-tax cash flows of $80,000 at the end of each of the next 2 years. The system could be replaced every 2 years, and the cash inflows and outflows...

Please use RStudio to answer the question and give the R command: please load data use...

Please use RStudio to answer the question and give the R command: please load data use data: library(MASS) data(cats) Use the “cats” data set to test for the variance of the body weight in male and female cats

The Book of R (Question 20.2) Please answer using R code. Continue using the survey data...

The Book of R (Question 20.2) Please answer using R code. Continue using the survey data frame from the package MASS for the next few exercises. The survey data set has a variable named Exer , a factor with k = 3 levels describing the amount of physical exercise time each student gets: none, some, or frequent. Obtain a count of the number of students in each category and produce side-by-side boxplots of student height split by exercise. Assuming independence...

Class data (hours on electronics) are below.. please use data fto answer question... 1. A national...

Class data (hours on electronics) are below.. please use data fto answer question... 1. A national survey conducted by Common Sense Media in early 2017 found that the average amount of time in front of various electronic devices was 6 hours and 40 minutes. I believe that this actual number of hours is less than this. Using our class data, at α=.05 is there enough evidence to support my claim? Hours on electronics 6,6.5,4,1,8,8,0.5,4,4,9,4,3,3,2,4,4,3,3,2,2,3,4,1,6,3,5,8,3,2,4,6,4,4,5,6,4,1,1,13,0.75,10,2,9,6,9,6,5,2,3.5,8,4,3,4,2,1.5,6,4,2,3,6,10,8,4,2,4,3,4,7,6,8,4.5,5,2,7,12,3,4.5,11,8,6,5,8,7,8,2,6,2,7,5,4,2,2,1,3,4,4,2,2,1,6,4,6,7,9,5,2,7,11,10,3,10,2.5,4.5,5,5,4,8,9,2,14,12,6,18,6,14,12,8,10,15,16,16,15,16,10,15,17,8,17,17,5,3,2,3,4,5,3,4,2,4,6,6,4,9,5,10,5,9,2,8,12,5,1,5,6,8,5,10,8,10,6,5,10,2,3,10,2,3.5,2.5,2,5,4,0,4,2,2,6,7,1,3.

Please Answer Required#7, 8, 9 and 10 please. Thank you. Please answer as soon as possible....

Please Answer Required#7, 8, 9 and 10 please. Thank you. Please answer as soon as possible. Required: #1. Prepare journal entries to record the December transactions in the General Journal Tab in the excel template file "Accounting Cycle Excel Template.xlsx". Use the following accounts as appropriate: Cash, Accounts Receivable, Supplies, Prepaid Insurance, Equipment, Accumulated Depreciation, Accounts Payable, Wages Payable, Common Stock, Retained Earnings, Dividends, Service Revenue, Depreciation Expense, Wages Expense, Supplies Expense, Rent Expense, and Insurance Expense. 1-Dec Began business...

hi can u please give a answere for this question now Chad Funk is a hair...

hi can u please give a answere for this question now Chad Funk is a hair stylist who opened a business selling hair products. He imports products from around the world and sells to salons in Canada. Oct. 1 Purchased $5,200 of hair spray from Orbit Pro; terms 3/10, n/30, FOB shipping point. The appropriate party paid the shipping cost of $390. 5 Sold shampoo costing $1,750 to Barber & Co. for a price of $2,500 with terms of 2/10,...

Use the SAMPLE-level data set to answer the questions: 12 6 9 10 4 5 11...

Use the SAMPLE-level data set to answer the questions: 12 6 9 10 4 5 11 8 7 4 a. Compute SS for this data set b. Compute s2 for this data set c. Compute s for this data set d. What is the definition for standard deviation?

Answer the Following Question using Web: a) Use web search to identify and name 10 university...

Answer the Following Question using Web: a) Use web search to identify and name 10 university groups in USA and Canada with research programs in the area of VLSI design. Pick two research groups of your choice. b)Use web search to find open source libraries for VLSI design components. List the type of designs available there. Give description of one design you find in these libraries. NOTE: Can You please explain with details, thank You.

Subjects