1) Define a problem where you test a hypothesis mean µx= (a value you choose) with the alternate hypothesis px # (the same value you have chosen) at the level of significance (0) 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. Check MAT271E_PART 10.pdf.) 2) Define the same problem where you test a hypothesis mean px = (a value you choose) this time with the alternate hypothesis Px < (the same value you have chosen), for the same level of significance (0) 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.

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1) Define a problem where you test a hypothesis mean µx= (a value you choose) with
the alternate hypothesis px # (the same value you have chosen) at the level of
significance (0) 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. Check MAT271E_PART 10.pdf.)
2) Define the same problem where you test a hypothesis mean ux = (a value you
choose) this time with the alternate hypothesis px < (the same value you have
chosen), for the same level of significance (0) 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.)
3) Define a problem where you test a hypothesis standard deviation ox= (a value you
choose) with the alternate hypothesis ox+ (the same value you have chosen) at the
level of significance (0) of 0.10, for a sample size N=15, by also defining your own
values for the standard deviation (Sx) of the sample. Show whether the hypothesis is
accepted or rejected.
(Hint: Define and solve a two-sided hypothesis testing question using x2 (chi-square)
distribution.)
4) Define the same problem where you test a hypothesis standard deviation ox = (a
value you choose) this time with the alternate hypothesis ox > (the same value you
have chosen), for the same level of significance (0) of 0.10, same sample size N=15
and the same standard deviation (Sx) of the sample. Show whether the hypothesis is
accepted or rejected.
(Hint: Define and solve a one-sided hypothesis testing question using x2 (chi-square)
distribution.)
Transcribed Image Text:1) Define a problem where you test a hypothesis mean µx= (a value you choose) with the alternate hypothesis px # (the same value you have chosen) at the level of significance (0) 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. Check MAT271E_PART 10.pdf.) 2) Define the same problem where you test a hypothesis mean ux = (a value you choose) this time with the alternate hypothesis px < (the same value you have chosen), for the same level of significance (0) 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.) 3) Define a problem where you test a hypothesis standard deviation ox= (a value you choose) with the alternate hypothesis ox+ (the same value you have chosen) at the level of significance (0) of 0.10, for a sample size N=15, by also defining your own values for the standard deviation (Sx) of the sample. Show whether the hypothesis is accepted or rejected. (Hint: Define and solve a two-sided hypothesis testing question using x2 (chi-square) distribution.) 4) Define the same problem where you test a hypothesis standard deviation ox = (a value you choose) this time with the alternate hypothesis ox > (the same value you have chosen), for the same level of significance (0) of 0.10, same sample size N=15 and the same standard deviation (Sx) of the sample. Show whether the hypothesis is accepted or rejected. (Hint: Define and solve a one-sided hypothesis testing question using x2 (chi-square) distribution.)
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