Erin, Elizabeth, and Anna are playing a game. Their probabilities of winning the game are as follows:
\text{P(Erin wins}) = 0.3P(Erin wins)=0.3start text, P, left parenthesis, E, r, i, n, space, w, i, n, s, end text, right parenthesis, equals, 0, point, 3
\text{P(Anna wins}) = \dfrac12P(Anna wins)=
2
1

start text, P, left parenthesis, A, n, n, a, space, w, i, n, s, end text, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction
\text{P(Elizabeth wins}) = 20\%P(Elizabeth wins)=20%

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10