Question

# Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (Note:...

 Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (Note: the automated question following this one will ask you confidence interval questions for this same data, so jot down your work.) H0: μ1 − μ2 = 0 HA: μ1 − μ2 ≠ 0
 x−1x−1 = 74 x−2x−2 = 65 σ1 = 1.57 σ2 = 14.10 n1 = 19 n2 = 19
 a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
 Test statistic
 a-2. Calculate the p-value of the test statistic. Remember: because this is a two-tailed hypothesis test, you must double your p-value that will be compared with α in the hypothesis test criteria. (Round your answer to 4 decimal places.)
 p-value
 a-3. Do you reject the null hypothesis at the 5% level? No, since the p-value is more than α. No, since the p-value is less than α. Yes, since the p-value is more than α. Yes, since the p-value is less than α.
 b. Using the critical value approach, can we reject the null hypothesis at the 5% level? No, since the value of the test statistic is not less than the critical value of-1.645. No, since the value of the test statistic is not less than the critical value of -1.96. Yes, since the value of the test statistic is less than the critical value of -1.645. Yes, since the value of the test statistic is less than the critical value of -1.96.

#### Earn Coins

Coins can be redeemed for fabulous gifts.