Decide whether or not the conditions and assumptions forinference with a two-sam

Question

Decide whether or not the conditions and assumptions forinference with a two-sample t-test aresatisfied. 1. The owner of a very large, high-rise apartment complexhad an in-ground swimming pool installed in an effort to increasetenant satisfaction. Thirty tenants were randomly selected tocomplete a questionnaire that assessed their level of satisfactionwith the apartment complex. Their scores before and after theinstallation of the pool were recorded. The owner wants to assessthe effectiveness of the pool in increasing tenantsatisfaction.
A) The conditions and assumptions for inferenceappear to be satisfied. B) The 30 tenants represent more than 10% ofthe tenants at thecomplex. C)The samples are not independent of eachother. D) The sample sizes are notlarge enough to apply the Central LimitTheorem. E) The samples were not chosenrandomly. 2. Astudy was conducted to determine which cab company gives quickerservice. Companies A and B were each called at 40 randomly selectedtimes. The response times were recorded. The results were asfollows. Company A:
Mean response time - 8.2minutes
Standard deviation - 1.6 minutes
Company B:
Mean response time - 7.3minutes Standarddeviation - 1.8minutes
A) The two sample sizes are not large enough to apply the CentralLimitTheorem. B) The conditions and assumptions forinference appear to besatisfied. C) The 40 calls in the sample represent morethan 10% of the total calls to eachcompany. D) The two samples are not independent ofeach other.
E) The samples were not chosenrandomly. Decide whether or not the conditions and assumptions forinference with a two-sample t-test aresatisfied. 1. The owner of a very large, high-rise apartment complexhad an in-ground swimming pool installed in an effort to increasetenant satisfaction. Thirty tenants were randomly selected tocomplete a questionnaire that assessed their level of satisfactionwith the apartment complex. Their scores before and after theinstallation of the pool were recorded. The owner wants to assessthe effectiveness of the pool in increasing tenantsatisfaction.
A) The conditions and assumptions for inferenceappear to be satisfied. B) The 30 tenants represent more than 10% ofthe tenants at thecomplex. C)The samples are not independent of eachother. D) The sample sizes are notlarge enough to apply the Central LimitTheorem. E) The samples were not chosenrandomly. 2. Astudy was conducted to determine which cab company gives quickerservice. Companies A and B were each called at 40 randomly selectedtimes. The response times were recorded. The results were asfollows. Company A:
Mean response time - 8.2minutes
Standard deviation - 1.6 minutes
Company B:
Mean response time - 7.3minutes Standarddeviation - 1.8minutes
A) The two sample sizes are not large enough to apply the CentralLimitTheorem. B) The conditions and assumptions forinference appear to besatisfied. C) The 40 calls in the sample represent morethan 10% of the total calls to eachcompany. D) The two samples are not independent ofeach other.
E) The samples were not chosenrandomly.

Explanation / Answer

(1)C) Thesamples are not independent of eachother. (2)B) The conditions and assumptions for inferenceappear to besatisfied.

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