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please show clear answers for the questions to understand and easy steps. for mini tab questions also and thankyou. Question 1 (50 points): A maritime

please show clear answers for the questions to understand and easy steps. for mini tab questions also and thankyou.

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Question 1 (50 points): A maritime travel company declares that the time to connect Rotterdam to Dover is 12 hours. A sample of 47 ferries has an average travelling time of 13.9 hours. The standard deviation of the population is 1.1 hours. At a a= 0.05, is there enough evidence to reject the claim? a) State the hypotheses. (10 points) b) Compute the test statistic. (10 points) c) Write your rejection criterion. (Use the P-value method) (5 points) d) Find p value. (5 points) e) Make the decision to reject or not reject the null hypothesis. (5 points) f) Summarize the results and interpret your decision. (5 points) g) Test the claim by using Minitab. Copy / write your output. Compare your results. Are they different? Why? / Why not? (10 points) Question 2 (50 points): A chemical plant is required to maintain sulfur level emissions in the working environment atmosphere at an average level of no more than 125 ppm (parts per million). The results of 18 randomly timed measurements of the sulfur level produced a sample mean of = 148 ppm and a sample standard deviation of 28 ppm. The Environmental Protection Agency is claiming that the chemical plant is in violation of the working code. At a a = 0.01, is there enough evidence to support the claim? Assume that the variable is normally distributed. a) State the hypotheses. (10 points) b) Compute the test statistic. (10 points) c) Find the critical value(s) from the appropriate table and write your rejection criterion. (Use the critical value method) (10 points) d) Make the decision to reject or not reject the null hypothesis. (5 points) e) Summarize the results and interpret your decision. (5 points) f) Test the claim by using Minitab. Copy / write your output. Compare your results. Are they different? Why? / Why not? (10 points)

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