You are testing the null hypothesis that there is so linear relationship between two variables, X and Y . From your sample of n = 10 , you determine that r = 0.80. a. What is the value of the statistic t STAT ? b. At the α = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make?
You are testing the null hypothesis that there is so linear relationship between two variables, X and Y . From your sample of n = 10 , you determine that r = 0.80. a. What is the value of the statistic t STAT ? b. At the α = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make?
Solution Summary: The author explains the value of t_STAT and the alternative hypothesis that there is a linear relationship between variables X and Y.
You are testing the null hypothesis that there is so linear relationship between two variables,
X
and
Y
.
From your sample of
n
=
10
,
you determine that
r
=
0.80.
a. What is the value of the statistic
t
STAT
?
b. At the
α
=
0.05
level of significance, what are the critical values?
c. Based on your answers to (a) and (b), what statistical decision should you make?
A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
Chapter 13 Solutions
Student Solutions Manual for Basic Business Statistics
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