Question

In: Statistics and Probability

Big screw 7 Small screw 21 Big nut 12 Small nut 10 washer 6 5% level...

Big screw 7 Small screw 21 Big nut 12 Small nut 10 washer 6

5% level of significance.

A.Sample size:

B.Expected frequencies:

C.Test statistics show work:

F.P-value:

G.Decision:

H.Conclusion:

Solutions

Expert Solution

Chi square test for Goodness of fit  
  
expected frequncy,E = expected proportions*total frequency  
total frequency=   56

category observed frequencey, O expected proportion expected frequency,E (O-E)²/E
big 7 0.2000 11.2 1.575
small 21 0.2000 11.2 8.575
big nut 12 0.2000 11.2 0.057
small nut 10 0.2000 11.2 0.129
washer 6 0.2000 11.2 2.414

A) sample size=56

b)

category expected frequency,E
big 11.2
small 11.2
big nut 11.2
small nut 11.2
washer 11.2

c)

chi square test statistic,X² = Σ(O-E)²/E =   12.750

f)

Degree of freedom=k-1=   5   -   1   =   4
                  
P value =   0.0126 [ excel function: =chisq.dist.rt(test-stat,df) ]          

g)

Decision: P value < α=0.05, Reject Ho  

h)

conclusion: there is enough evidence that distribution is not equally likely


Related Solutions

(9) Diagonalizing 4 0 1 -7 -5 5. -12 -6 7
(9) Diagonalizing 4 0 1 -7 -5 5. -12 -6 7
21-21 (Objectives 21-1, 21-3, 21-5, 21-6, 21-7) The Frist Corporation has the following internal controls related...
21-21 (Objectives 21-1, 21-3, 21-5, 21-6, 21-7) The Frist Corporation has the following internal controls related to inventory: 1. Only authorized inventory warehousing personnel are allowed in inventory storage areas. 2. All inventory products are stored in warehousing areas that are segregated from other storage areas used to house equipment and supplies. 3. All inventory held on consignment at Frist Corporation is stored in a separate area of the warehouse. 4. The inventory purchasing system only allows purchases from pre-approved...
Month 1 2 3 4 5 6 7 Value 23 13 20 12 18 21 16...
Month 1 2 3 4 5 6 7 Value 23 13 20 12 18 21 16 (b) Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation. MSE:   The forecast for month 8:   (c) Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8. If required, round...
Month 1 2 3 4 5 6 7 Value 23 13 20 12 18 21 16...
Month 1 2 3 4 5 6 7 Value 23 13 20 12 18 21 16 (b) Develop a three-month moving average for this time series. Compute MSE and a forecast for month 8. If required, round your answers to two decimal places. Do not round intermediate calculation. MSE:   The forecast for month 8:   (c) Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for month 8. If required, round...
Find the compounded ratio of 5:7; 14:10; and 20:21?
Find the compounded ratio of 5:7; 14:10; and 20:21?
3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5...
3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5 8 1 12 14 Each column represents a different treatment given to sick rats. Each cell is a different rat. Use statistical analysis and use post hoc testing using contrasts to find the best treatment. Treatment 1: vitamins Treatment 2: prescription pills Treatment 3: brain surgery Treatment 4: shock therapy Treatment 5: dietary changes
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?
Use the sample space (5, 6, 7, 8, 9, 10, 11, 12, 13, 14) to find...
Use the sample space (5, 6, 7, 8, 9, 10, 11, 12, 13, 14) to find the probability for a random selected a) P(integer) b) P(less than 10 | less than 13) c) P(greater than 8 | less than 11) d) P(greater than 7 | greater 12)
Exercise 21-18 (Algo) Spreadsheet entries from statement of retained earnings [LO21-3, 21-4, 21-5, 21-6, 21-7, 21-8]...
Exercise 21-18 (Algo) Spreadsheet entries from statement of retained earnings [LO21-3, 21-4, 21-5, 21-6, 21-7, 21-8] The statement of retained earnings of Gary Larson Publishers is presented below. GARY LARSON PUBLISHERS Statement of Retained Earnings For the Year Ended December 31, 2021 ($ in millions) Retained earnings, January 1 $ 250 Add: Net income 62 Deduct: Cash dividend (19 ) Stock dividend (1 million shares of $1 par common stock) (22 ) Property dividend (Garfield Company preferred stock held as...
Exercise 21-18 (Algo) Spreadsheet entries from statement of retained earnings [LO21-3, 21-4, 21-5, 21-6, 21-7, 21-8]...
Exercise 21-18 (Algo) Spreadsheet entries from statement of retained earnings [LO21-3, 21-4, 21-5, 21-6, 21-7, 21-8] The statement of retained earnings of Gary Larson Publishers is presented below. GARY LARSON PUBLISHERS Statement of Retained Earnings For the Year Ended December 31, 2021 ($ in millions) Retained earnings, January 1 $ 250 Add: Net income 62 Deduct: Cash dividend (19 ) Stock dividend (1 million shares of $1 par common stock) (22 ) Property dividend (Garfield Company preferred stock held as...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT