Professional Radon Detectors & Commercial Educational Software Producer - Statistics Assignment Help

Assignment Task

PRACTICAL STATISTICS 

You can write the solutions by hand or using a text editor, however prior to submitting the file make sure you convert the images into one pdf file and submit the document as a pdf. - All calculations should be performed by hand and calculator (not computer).  

For each of the hypothesis tests performed include the research hypothesis, the choice of the hypothesis test with justification, null and alternative hypotheses, rejection region, test decision, and conclusion. It is assumed that the underlying distribution of the data is the normal distribution as requested by the hypothesis test. 

1. How accurate are radon detectors of a type sold to homeowners? To answer this question,  university researchers placed 12 detectors in a chamber that exposed them to 105 picocuries per liter of radon. The detectors readings were as follows:

 Is there convincing evidence that the mean reading of all detectors of this type differs from the true value 105? 

(i) Perform an appropriate hypothesis test 

(ii) Calculate a 95% confidence interval for the mean reading and interpret. 

2. Attitudes to ‘Green’ issues can be characterized into conservative and radical. During the  building of a new airport, the percentages who held radical views on the possible harmful  effects on the environment were canvassed in the local towns and villages, and are recorded in  the table below

Is there a difference in the level of support for a radical view between the villages and the towns?

3 A commercial educational software producer advertises a software program designed to improve scores on a verbal test. A random sample of 10 students took the verbal test before and after using this software. 

4 Score Before & Score After Should we conclude that the software improves the verbal scores? 

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