Students at Praline High are allowed to sign up for one English class each year. The numbers of students signing up for various
English
classes for the next school year are given in the following table:
Grade English English | English III English IV Total
10th
60
165
20
15
260
11th
35
40
115
10
200
12th
10
25
90
145
270
Total 105
230
225
170
730
Part A: What is the probability that a student will take English IV? (2 points)
Part B: What is the probability that an 11th-grader will take either English Il or English 111? (2 points)
Part C: What is the probability that a student will take English III given that he or she is in the 11th grade? (2 points)
Part D: Consider the events "A student takes English I" and "A student is a 10th-graderAre these events independent? Justify your answer.
(4 points) (10 points)
classes for the next school year are given in the following table:
Grade English English | English III English IV Total
10th
60
165
20
15
260
11th
35
40
115
10
200
12th
10
25
90
145
270
Total 105
230
225
170
730
Part A: What is the probability that a student will take English IV? (2 points)
Part B: What is the probability that an 11th-grader will take either English Il or English 111? (2 points)
Part C: What is the probability that a student will take English III given that he or she is in the 11th grade? (2 points)
Part D: Consider the events "A student takes English I" and "A student is a 10th-graderAre these events independent? Justify your answer.
(4 points) (10 points)
2 answers:
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Answer:
There is no difference in the number of sales between The Florida salespeople and Washington salespeople
Sp^2 = 39
Step-by-step explanation:
Given data :
Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54
Washington: 42, 43, 56, 50, 49, 52, 53, 56
number of sales persons in Florida = 9
number of sales persons in Washington = 8
variance = constant
a)Determine if there is difference between the Florida salespeople and Washington salespeople
we will carry out a two tailed test based on the given data
H0 : u1 = u2
H1 : u1 ≠ u2
x ( mean ) = 46.77, y ( mean ) = 50.13 ,
s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8
therefore :
Sp^2 = = 38.96 ≈ 39
performing test statistic
t = =
= -1.1078
critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales