Question

1-Look up the requested values using book tables. You may check with a calculator, but enter the table value.

   Let T denote a t-distribution variable with 14 degrees of freedom. Find:

P(T>1.761)=?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

2-Look up the requested values using book tables. You may check with a calculator, but enter the table value.

     Find the normal distribution P VALUE used for a Greater Than one-sided alternative hypothesis test with a test statistic z=2.32.

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.3

3-Look up the requested values using book tables. You may check with a calculator, but enter the table value.

     Find the standard normal distribution Critical VALUE used for a Less Than one-sided alternative hypothesis test with a 1% significance level.

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.3

4-Look up the requested values using book tables. You may check with a calculator, but enter the table value.

   Let T denote a t-distribution variable with 25 degrees of freedom. Find:

P(T<-0.684)=?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

5-Use a CALCULATOR to compute the below probability.

     Suppose a basketball player hits and average of 60% of his free throws. In a game with 15 independent free throws, what is the probability he makes exactly 12 baskets?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.3

Answer 1

Let T denote a t-distribution variable with 14 degrees of freedom.

P(T>1.761)=0.05

At 6th coloumn and at df 14,we get 1.761,look upwards at coloumn heading and see for one tail probability and we find this.

2.

Find the normal distribution P VALUE used for a Greater Than one-sided alternative hypothesis test with a test statistic z=2.32.

p value :

P(Z>2.32), Z~N(0,1)under null hypothesis.

=1-P(Z2.32)=1-1-0.9898296=0.01

3.Find the standard normal distribution Critical VALUE used for a Less Than one-sided alternative hypothesis test with a 1% significance level.

The less than critical value is - 2.326

4.

Let T denote a t-distribution variable with 25 degrees of freedom. Find:

P(T<-0.684)=1-P(T>-0.684)=0.25

5.X~Bin(15,0.60)

P(X=12)=0.06