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In: Statistics and Probability

A pharmaceutical company claims that the average cold lasts an average of 8.4 days. They are...

A pharmaceutical company claims that the average cold lasts an average of 8.4 days. They are using this as a basis to test new medicines designed to shorten the length of colds. A random sample of 106 people with colds, finds that on average their colds last 8.28 days. The population is normally distributed with a standard deviation of 0.9 days. At α=0.02, what type of test is this and can you support the company’s claim using the p-value?

Claim is null, reject the null and cannot support claim as the p-value (0.170) is less than alpha (0.02)
Claim is null, fail to reject the null and support claim as the p-value (0.170) is greater than alpha (0.02)
Claim is alternative, fail to reject the null and support claim as the p-value (0.085) is less than alpha (0.02)
Claim is alternative, reject the null and cannot support claim as the p-value (0.085) is greater than alpha (0.02)

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