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Unformatted text preview: Practice Problems for Onesample Inference Hypothesis Testing 2010 Radha Bose FSU Department of Statistics 1 1. Ten brands of vanilla icecream had a mean of 131 cal/serving. We want to know if this is evidence that the mean caloric content of all brands of vanilla icecream is less than 140 cal/serving. Assume that the population of vanilla icecream caloric contents has standard deviation 30 cal/serving. (a) Conduct an appropriate hypothesis test using the Pvalue approach , detail all the steps and use 1 . = . (b) Interpret the Pvalue in this context. 2. Researchers collected a sample of 24 Florida alligators and found that their mean length was 130.6 inches. The researchers want to know if the mean length of all Florida alligators is less than 144 inches. The sample of alligators' lengths had standard deviation 19 inches. (a) Conduct an appropriate hypothesis test using the Pvalue approach , detail all the steps and use 0.05 = . (b) Interpret the Pvalue in this context. 3. A random sample of 100 small businesses made a mean profit of $4000 (i.e. $4000 loss) in the last financial year. We want to know if this is any indication that the mean profit made by all small businesses in the last financial year was greater than $10,000 (i.e. less than $10,000 loss). (a) Conduct an appropriate hypothesis test using the Pvalue approach , detail all the steps and use 0.05 = . Studies show that the standard deviation of profits made by small businesses in general is around $27,800. (b) Interpret the Pvalue in this context. 4. An athlete's resting heart rate was measured 9 times during an active rest day. These measurements had mean 46 bpm and standard deviation 1.8 bpm. Based on these data, can we say that her overall mean resting heart rate is higher than 45 bpm? (a) Conduct an appropriate hypothesis test using the Pvalue approach , detail all the steps and use 01 . = . (b) Interpret the Pvalue in this context. Practice Problems for Onesample Inference Hypothesis Testing 2010 Radha Bose FSU Department of Statistics 2 5. Thirty randomly selected types of calculators had a mean cost of $200. The population distribution of all such costs has standard deviation of $45. We want to know if the sample data indicate that the mean cost of all types of calculators is different from $180. Conduct an appropriate hypothesis test using the Pvalue approach , detail all the steps and use 0.01 = . 6. Fortyfive employees at a certain hospital spent a mean of $9.50 at the hospital cafeteria. We want to know if this indicates that the mean amount spent at the cafeteria by all the hospital's employees is not $10. Conduct an appropriate hypothesis test using the Pvalue approach , detail all the steps and use 0.1 = . The standard deviation of the amounts spent by the sample of employees was $1.96....
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This document was uploaded on 10/31/2011 for the course STAT STA2023 at FSU.
 Fall '11
 RADHABOSE

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