Aresearcher believes that two populations have the same mean. she draws a sample of size 32 from each population and calculates the mean of the first sample to be 21.7, the mean of the second sample to be 28.6, and the standard deviation of the sampling distribution of differences between means to be 3.01. what is probability that a difference at least this great is due only to sampling error?

Yuto and hila attempted to solve the same inequality. their work is shown below. which statement is true about the work shown above? yuto is correct because he isolated the variable correctly and reversed the inequality symbol. yuto is incorrect because he should not have reversed the inequality symbol. hila is correct because she isolated the variable correctly and reversed the inequality symbol. hila is incorrect because she should not have reversed the inequality symbol.

Anew test for ra is being developed. the test is administered to 750 patients with ra and 750 without ra. for the sake of the question, assume the prevalence of ra in this population is 50%. of the 750 patients with ra, 575 have a positive result. of the 750 patients without ra, 150 have a positive result. what is the positive predictive value of the new test? a575/(575+150) b. 600/(600+ 150) c. 575/(575+125) d. 600/(600+ 125)

Me i’m stuck on all these questions besides the two bottom ones