A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of...

Extracted text: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 6.7 milligrams. At a = 0.05, can you reject the company's claim? Complete parts (a) through (e). ..... (a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: µ+ 36.8 B. Ho. μ> 36.8 Hạ: H= 36.8 Ha: H< 36.8="" o="" d.="" ho:="" h#35="" ha:="" h="35" o="" c.="" ho:="" μ="36.8" %3d="" ha:="" µ#="" 36.8="" ο="" ε.="" h0="" :="" μ="35" o="" f="" ho="" μ3="" 35="" ha:="" h#35=""><35 (b)="" find="" the="" critical="" value(s).="" select="" the="" correct="" choice="" below="" and="" fill="" in="" the="" answer="" box="" within="" your="" choice.="" (round="" to="" two="" decimal="" places="" as="" needed.)="" a.="" the="" critical="" values="" are="" ±="" question="" viewer="" b.="" the="" critical="" value="" is="" identify="" the="" rejection="" region(s).="" choose="" the="" correct="" answer="" below.="" a.="" ов.="" c.="" fail="" to="" reject="" ho-="" fail="" to="" reject="" ho-="" fail="" to="" reject="" ho-="" reject="" ho.="" reject="" ho.="" reject="" ho.="" reject="" ho.="" -4="" 4="" -4="">


Extracted text: (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. A. Since z is in the rejection region, fail to reject the null hypothesis. B. Since z is not in the rejection region, fail to reject the null hypothesis. C. Since z is not in the rejection region, reject the null hypothesis. D. Since z is in the rejection region, reject the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 5% significance level, there enough evidence to the company's claim that the mean caffeine content per 12-ounce bottle of cola milligrams.