Suppose we wish to test the null hypothesis that the means of two populations are equal. We decide to use the Welch procedure to carry out the test. We draw independent samples of {n} observations from each population, and findX1=16.3, X2= 2.1, and SEw(X1X2)= 3.5. What is the value of the appropriatetstatistic?

(Give your numeric response to at least 3 decimal places. Give only the number, and not any additional characters or symbols. (If the value is negative, include the minus sign.))

Researchers wish to carry out a test of the null hypothesis that the mean of a certain population is 290 against the alternative hypothesis that it is less than 290. In their situation, they (somehow) happen to know the population standard deviation. They feel comfortable assuming normality for this population, and carry out a Z test. They draw a sample of 33 individuals from this population, and find a Z test statistic of 0.49. What is the p-value of the test?

(Give your numeric response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.)