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41. The patients identification band should be checked before he is transported to surgery.

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                                                                                                                                 Suppose you are interested in the average weight of a lemur. You sample 50 lemurs and find an average weight of 2.3 kilograms with a standard deviation of 0.4 kilograms.What is the margin of error for the 99% confidence interval? Round to 3 decimals.

                                                                                                                                 Officials are concerned that coyotes are getting larger and wreaking havoc on local wildlife. Coyotes were captured, weighed, and released in 2022 and 2023 with the data posted above. Perform a two-sample t-test for whether the average weight of a coyote has changed (2023 – 2022). It is safe to assume coyote weights for both years follow a normal distribution but do not assume the variance is equal between the years. Let . Calculate the test statistic for the appropriate test. Round to 3 decimals.

A housing researcher at Indiana University constructs a 95% confidence interval for the average rent paid by IU students living off campus to be ($1,024, $1,113). Which of the following are correct interpretations of the 95% confidence interval?

                                                                                                                                 A confidence interval for a population proportion is computed to be (0.36, 0.47) using a sample size of n=307.  What confidence level was used? Report your answer as a percentage rounded to 2 decimal places, i.e., if your answer is 95.37%, report it as 95.37 not 0.9537.

                                                                                                                                 You manage Bloom Brews, a small coffee chain with several locations around Bloomington, Indiana. After hearing some regulars mention slower service during busy hours, you introduce a new barista training program focused on efficiency and customer interaction. To see if it’s making a difference, you record each store’s average customer satisfaction rating (on a 1–10 scale) before and after the training. You want to know if the program has significantly improved customer satisfaction across your Bloomington locations. Calculate the p-value for the appropriate test. Round to 4 decimals.

                                                                                                                                 Suppose you want to know the true proportion of satisfied customers from a survey to within a margin of error of no more than 0.025 for a 94% confidence interval. What sample size do you need to use if you have prior information that the true proportion is equal to 0.4? Your answer must be a whole number.

                                                                                                                                 A recent election poll shows that 251 out of 450 likely voters surveyed in the U.S. House Indiana District 9 support the incumbent Erin Houchin (R). Suppose we are interested in conducting a hypothesis test on whether she will get more than 50% of the vote.  Let . What is the p-value? Round to 4 decimals.

                                                                                                                                 Following a pollutant leak in a nearby pond, a researcher is concerned that the frogs living near this pond may have become contaminated. If more than 10% of frogs living near the pond have become contaminated, county officials will need to shut down the pond and perform emergency cleaning measures. A county official collects a sample of 100 frogs and finds 8 of these frogs to be contaminated. Are the guidelines met for conducting a hypothesis test for a single proportion?