Answer:
[tex](a)\ t = -2.146[/tex]
The null hypothesis is rejected
[tex](b)\ t = 2.014[/tex]
The null hypothesis is accepted
[tex](c)\ t = 2.128[/tex]
The null hypothesis is accepted
[tex](d)\ t = -2.146[/tex]
The null hypothesis is rejected
Step-by-step explanation:
Given
[Missing from the question]
[tex]\alpha = -1.001[/tex] --- critical value
Left tailed test
Required
State what the standardized test statistics indicates
Since it is a left-tailed test, the null hypothesis will be rejected if the standardized test statistics less than or equal to the critical value
Using the above rule, we have:
[tex](a)\ t = -2.146[/tex]
Compare t and [tex]\alpha[/tex]
[tex]-2.146 < -1.001[/tex]
The null hypothesis is rejected
[tex](b)\ t = 2.014[/tex]
Compare t and [tex]\alpha[/tex]
[tex]2.014> -1.001[/tex]
The null hypothesis is accepted
[tex](c)\ t = 2.128[/tex]
Compare t and [tex]\alpha[/tex]
[tex]2.128> -1.001[/tex]
The null hypothesis is accepted
[tex](d)\ t = -2.146[/tex]
Compare t and [tex]\alpha[/tex]
[tex]-2.146 < -1.001[/tex]
The null hypothesis is rejected
