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In​ 1908, William Gosset published the article​ "The probable Error of a​ Mean" under the pseudonym of​ "Student". He included the data listed below for two different types of corn seed that were used on ad jacent plots of land. The listed values are the yields of head corn in pounds per acre. Use a 0.10 significance level to test the claim that the mean difference in yield between the two types of seed is 0.   Regular 1903 1935 1910 2496 2108 1980 2060 1444 1612 1316 1511 Kiln dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535 a. Define the parameter     A. mu Subscript d Baseline equals   Mean of​ (Regular yield​ - Kiln dried​ yield)   B. mu Subscript d Baseline equals   Mean of the Regular yield   C. mu Subscript d Baseline equals   Mean of the Kiln dried yield   D. mu equals   Mean yield   b. State the null and alternative hypotheses     A. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline greater than 0     B. Upper H 0 : mu equals 0 Upper H 1 : mu not equals 0     C. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline less than 0     D. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline not equals 0     c. Calculate the​ P-value. Which of these options is closest to its​ value?     A. 0.238     B. 0.466     C. 0.152     D. 0.134     d. State the technical conclusion     A. Do not reject Upper H 0     B. Reject Upper H 0

In​ 1908, William Gosset published the article​ "The probable Error of a​ Mean" under the pseudonym of​ "Student". He included the data listed below for two different types of corn seed that were used on ad jacent plots of land. The listed values are the yields of head corn in pounds per acre. Use a 0.10 significance level to test the claim that the mean difference in yield between the two types of seed is 0.   Regular 1903 1935 1910 2496 2108 1980 2060 1444 1612 1316 1511 Kiln dried 2009 1915 2011 2463 2180 1925 2122 1482 1542 1443 1535 a. Define the parameter     A. mu Subscript d Baseline equals   Mean of​ (Regular yield​ - Kiln dried​ yield)   B. mu Subscript d Baseline equals   Mean of the Regular yield   C. mu Subscript d Baseline equals   Mean of the Kiln dried yield   D. mu equals   Mean yield   b. State the null and alternative hypotheses     A. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline greater than 0     B. Upper H 0 : mu equals 0 Upper H 1 : mu not equals 0     C. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline less than 0     D. Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline not equals 0     c. Calculate the​ P-value. Which of these options is closest to its​ value?     A. 0.238     B. 0.466     C. 0.152     D. 0.134     d. State the technical conclusion     A. Do not reject Upper H 0     B. Reject Upper H 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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In​ 1908, William Gosset published the article​ "The probable Error of a​ Mean" under the pseudonym of​ "Student". He included the data listed below for two different types of corn seed that were used on ad jacent plots of land. The listed values are the yields of head corn in pounds per acre. Use a 0.10 significance level to test the claim that the mean difference in yield between the two types of seed is 0.
 
Regular
1903
1935
1910
2496
2108
1980
2060
1444
1612
1316
1511
Kiln dried
2009
1915
2011
2463
2180
1925
2122
1482
1542
1443
1535
a. Define the parameter
 
 
A.
mu Subscript d Baseline equals
 
Mean of​ (Regular yield​ - Kiln dried​ yield)
 
B.
mu Subscript d Baseline equals
 
Mean of the Regular yield
 
C.
mu Subscript d Baseline equals
 
Mean of the Kiln dried yield
 
D.
mu equals
 
Mean yield
 
b. State the null and alternative hypotheses
 
 
A.
Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline greater than 0
 
 
B.
Upper H 0 : mu equals 0 Upper H 1 : mu not equals 0
 
 
C.
Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline less than 0
 
 
D.
Upper H 0 : mu Subscript d Baseline equals 0 Upper H 1 : mu Subscript d Baseline not equals 0
 
 
c. Calculate the​ P-value. Which of these options is closest to its​ value?
 
 
A.
0.238
 
 
B.
0.466
 
 
C.
0.152
 
 
D.
0.134
 
 
d. State the technical conclusion
 
 
A.
Do not reject Upper H 0
 
 
B.
Reject Upper H 0
 
 
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