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Two researchers completed the same study when considering the same hypothesis test. Researcher A obtained a p-value of 0.10. Researcher B obtained a p-value of 0.13. Based on this information, the p-value from researcher [answer1] provides stronger evidence against the null and in favor of the alternative.  Using a significance level of 0.05, researcher A should [answer2] the null and researcher B should [answer3] the null.

Consider the average price of doughnuts from 200 bakeries in the United States. For the population of interest, a 95% confidence interval for the average price per doughnut is $1.70 plus or minus 0.45 cents.  For this example, match the numbers below to the correct statistical terms:

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Solve the equation.logz(8) =

Solve the equation. If necessary, round to thousandths.eln(x) = 8

Evaluate the exponential expression.272/3

Solve the equation.3(9 – 3x) = 27

Find the inverse of the function.f(x) = log8(x)

Graph the function.f(x) = 3(x – 4)

Graph the function.f(x) = log4(x – 4)