Discuss the below:
Determine the observed significance level.
Q1. The data below represents a random sample of weights (in grams) from a batch of a particular product. The nominal value is 87.5 grams. Prove that this sample is consistent with the nominal value, to a 90% confidence level.
Q2. A manufacturer claims that a particular kind of solar shade can reduce the ambient temperature by 2 degrees centigrade over traditional materials. Over random times over several days, temperatures were taken at the same time under a traditional awning and an adjacent awning using this brand of solar shade. In the Data file below, column A is the traditional and column B is the new shade. Prove whether or not the manufacturer's claims are true to 95% confidence level
Q3. A random sample of 135 dentists indicated that 84 recommended sugarless gum for their patients that chew gum. What is a 99% confidence interval for the true proportion of dentists in the population that would make such a recommendation?