Question

1. Short Answer Questions: (Try to answer these 8 questions without using software or tables.)
   1. In the standard normal and t distributions, the 95% confidence multiplier is equal to the ___________ 1-sided critical value.
   2. In the standard normal and t distributions, the 1-sided 5% critical value is equal to the ___________% confidence multiplier.
   3. In the standard normal and t distributions, which is larger, the 1-sided 5% critical value or the 1-sided 1% critical value? Answer: ____________
   4. In the standard normal and t distributions, the 1-sided 5% critical value is equal to the 2-sided ________% critical value.
   5. In the standard normal and t distributions, which of these test statistics gives a larger 1-sided p-value: 1.45 or 1.89? Answer: _____________
   6. TRUE or FALSE: According to the empirical rule, in N(0, 1) a test statistic of 1.25 gives a 1-sided p-value greater than 0.16. Answer: ___________
   7. In the standard normal, a test statistic of 1.75 gives a 1-sided p-value of 0.04006. In the t with 35 degrees of freedom, will a test statistic of 1.75 give a slightly higher or slightly lower 1-sided p-value than 0.04006? Answer: ___________
   8. Two hypothesis tests are done in which 1-sided p-values are obtained from N(0, 1). In Test 1, the 1-sided p-value was 0.065. In Test 2, the 1-sided p-value was 0.088. Again, both p-values came from N(0, 1). Which test had the higher test statistic? Answer: __________

Answer 1

a.In the standard normal and t distributions, the 95% confidence multiplier is equal to the 1.96 1-sided critical value since the 95% confidence multiplier is 1.96 is equivalent to 2.5% 1-sided critical value.

b.One-sided 5% critical value is 1.645, which is equivalent to 90% confidence multiplier.

c.In the standard normal and t distributions, 1-sided 5% critical value is 1.645 and 1-sided 1% critical value is 2.3263 from z-table. So 1% critical value is higher.

d.In the standard normal and t distributions, the 1-sided 5% critical value is equal to the 2-sided 10% critical value since 1-sided 5% critical value is and 2-sided 10% critical value is also from z-table.

Since it is multiple parts based question , so first 4 parts are answered.