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1. A researcher is testing the claim that adults consume anaverage of at least 1.85 cups of coffee per day. A sample of 35adults shows a sample mean of 1.70 cups per day with a samplestandard deviation of 0.4 cups per day. Test the claim at a 5%level of significance. What is your conclusion?

2. A government Bureau claims that more than 50% of U.S. taxreturns were filed electronically last year. A random sample of 150tax returns for last year contained 86 that were filedelectronically. Test the Bureau's claim at a 5% level ofsignificance. What is your conclusion? Report the p-value for thistest.

3. A major automobile company claims that its Newelectric-powered car has an average range of more than 100 miles. Arandom sample of 50 new electric cars was selected to test theclaim. Assume that the population standard deviation is 12 miles. A5% level of significance will be used for the test.

   A) What would be the consequences of making aType II error in this problem?

   B) Compute the Probability of making a Type IIerror if the true population means is 105 miles.

   C) What is the maximum probability of making aType I error in this problem?

Please Note: A hypothesis test answer must contain: a Null andan Alternate Hypothesis, a computed value of the test statistic, acritical value of the test statistic, a Decision, and aConclusion.