1) Define a problem where you test a hypothesis mean meanX= (a value you choose) with the alternate hypothesis meanX≠ (the same value you have chosen) at the level of significance (alfa) of 0.05, for a sample size N=11, by also defining your own values for the standard deviation (standard deviation) and mean (mean) of the sample. Show whether the hypothesis is accepted or rejected. (Hint: Define and solve a two-sided hypothesis testing question using t(student) distribution.)

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1) Define a problem where you test a hypothesis mean meanX= (a value you choose) with the alternate hypothesis meanX≠ (the same value you have chosen) at the level of significance (alfa) of 0.05, for a sample size N=11, by also defining your own values for the standard deviation (standard deviation) and mean (mean) of the sample. Show whether the hypothesis is accepted or rejected.
(Hint: Define and solve a two-sided hypothesis testing question using t(student) distribution.) 

2)Define the same problem where you test a hypothesis mean meanX= (a value you choose) this time with the alternate hypothesis meanX< (the same value you have chosen), for the same level of significance (α) of 0.05, same sample size N=11 and the same standard deviation (standard deviation) and mean (mean) of the sample. Show whether the hypothesis is accepted or rejected.
(Hint: Define and solve a one-sided hypothesis testing question using t(student) distribution.)

Question in the figure 1. Distributions also in the figure 2. Thank you for solving these two problems. Thank you indeed...

1) Define a problem where you test a hypothesis mean ux= (a value you choose) with
the alternate hypothesis ux# (the same value you have chosen) at the level of
significance (X) of 0.05, for a sample size N=11, by also defining your own values for
the standard deviation (Sx) and mean (x) of the sample. Show whether the hypothesis
is accepted or rejected.
(Hint: Define and solve a two-sided hypothesis testing question using t(student)
distribution.
2)Define the same problem where you test a hypothesis mean px= (a value you
choose) this time with the alternate hypothesis µx< (the same value you have
chosen), for the same level of significance (C) of 0.05, same sample size N=11 and
the same standard deviation (Sx) and mean (x) of the sample. Show whether the
hypothesis is accepted or rejected.
(Hint: Define and solve a one-sided hypothesis testing question using t(student)
distribution.)
Transcribed Image Text:1) Define a problem where you test a hypothesis mean ux= (a value you choose) with the alternate hypothesis ux# (the same value you have chosen) at the level of significance (X) of 0.05, for a sample size N=11, by also defining your own values for the standard deviation (Sx) and mean (x) of the sample. Show whether the hypothesis is accepted or rejected. (Hint: Define and solve a two-sided hypothesis testing question using t(student) distribution. 2)Define the same problem where you test a hypothesis mean px= (a value you choose) this time with the alternate hypothesis µx< (the same value you have chosen), for the same level of significance (C) of 0.05, same sample size N=11 and the same standard deviation (Sx) and mean (x) of the sample. Show whether the hypothesis is accepted or rejected. (Hint: Define and solve a one-sided hypothesis testing question using t(student) distribution.)
Student's t Distribution
0.45
0.40
0.35
0.30
t(df = 1)
0.25
-t(df = 5)
0.20
-t(df = 10)
0.15
t(df = 30)
0.10
std nomal
0.05
0.00
-4.0
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
4.0
Transcribed Image Text:Student's t Distribution 0.45 0.40 0.35 0.30 t(df = 1) 0.25 -t(df = 5) 0.20 -t(df = 10) 0.15 t(df = 30) 0.10 std nomal 0.05 0.00 -4.0 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 4.0
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