Fill in the blank. The critical value tα/2 that corresponds to a % confidence level with 1000 degrees of freedom is 2.33.

The critical value tα/2 that corresponds to a 98% confidence level with 1000 degrees of freedom is 2.33.

Step-by-step explanation:

From the question we are told that

   The critical value is  

From the student's t distribution table the probability of     at a degree of freedom of  1000 is  

Hence the level of significance is mathematically evaluated as

=>    

Generally the confidence level  is mathematically represented as

=>  

=>  

Converting to  percentage

=>    

=>    

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)