Question

In a sample size of 12 randomly selected high school student seniors, the mean score on a standardized test was 1190, and the standardized deviation was 166. Further research suggests that the population mean score on this test for high school seniors is 1013. Does the t value for the original sample fall between -t0.90 and t0.90? Assume that the population for test scores for high school students is normally distributed.

a) The t value of t = 1.08 and does not fall between -t0.90 and t0.90 because t0.90 = 1.64.
b) The t value of t = 0.71 and does fall between -t0.90 and t0.90 because t0.90 = 1.64.
c) The t value of t = 0.90 and does not fall between -t0.90 and t0.90 because t0.90 = 1.64.
d) The t value of t = 1.45 and does not fall between -t0.90 and t0.90 because t0.90 = 1.64.

Answer 1

The t-value does not fall between -t0.90 and t0.90 because t0.90 = 1.64.

Step-by-step explanation:

To determine whether the t-value falls between -t0.90 and t0.90, we need to compare the calculated t-value with these values. The t-value for the original sample is given as 1.08, and we are given that t0.90 = 1.64.

Since the calculated t-value (1.08) falls within the range of -t0.90 and t0.90, we can conclude that it does fall between those values. Therefore, the correct answer is a) The t value of t = 1.08 and does not fall between -t0.90 and t0.90 because t0.90 = 1.64.