For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n1minus1 and n2minus1 for the degrees of freedom results in dfequals11, and the corresponding critical values are tequalsplus or minus2.201. Using the formula for the exact degrees of freedom results in dfequals19.063, and the corresponding critical values are tequalsplus or minus2.093. How is using the critical values of tequalsplus or minus2.201 more "conservative" than using the critical values of plus or minus2.093?

Step-by-step explanation:

Using the critical values of t=±2.201 is more "conservative" than using the critical value of ±2.093 because it is more likely to reject the null hypothesis using the greater value i-e t=±2.201

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

answer:

c. the third graph