Chs statistics Chapters 20 & 23b review Test the following hypothesis testing



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CHS Statistics

Chapters 20 & 23B Review




Test the following hypothesis testing.

  1. Industry estimates show that Philips Company controls 39% of the Western European light-bulb market. You are the vice-president of marketing of a competing company and your company has completed an extensive advertising campaign to shift some of Philip’s control of the market to your company. You survey 1150 Western European homes and businesses and ask which brand of light-bulb they purchased the last time they bought a light-bulb. Of the participants surveyed, 414 replied that they had bought the Philips’ brand.



  1. Is this enough evidence to conclude that Philip’s share of the market is less than 39% at the 0.05 significance level?



  1. What does the P-value mean in this context? How would you explain it to someone who is not as stats savvy as you are?



  1. A battery retailer has received a large shipment of automobile batteries from a supplier. The supplier claims the batteries have a mean life of at least 36 months. Ten batteries, randomly sampled from the shipment yielded a mean lifetime of 33.5 months with a standard deviation of 4.01 months. Test the supplier’s claim at the 0.01 significance level.



  1. A USA Today survey found that of the gun owners surveyed, 57% favor stricter gun laws. Assume that the survey group consisted of 504 randomly selected run owners. Test the claim that the majority (more than 50%) of gun owners favor stricter gun laws.



  1. A pharmaceutical manufacturer checks the potency of products during manufacture by chemical analysis. The standard release potency for cephalothin crystals is set at 910. An assay of the previous 16 lots gives the following potency data:

897 914 913 906 916 918 905 921

918 906 895 893 908 906 907 901

  1. Check the appropriate conditions to perform a sample t-interval.



  1. Give a 95% confidence interval for the mean potency. Show the formula.



  1. Is there significant evidence at the 5% level that the mean potency is not equal to the standard release potency?



  1. Confirm this with a t-test.





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