A certain brand of automobile tire has a mean life span of 34000 miles and a standard deviation of 2200 miles

A certain brand of automobile tire has a mean life span of 34000 miles and a standard deviation of 2200 miles. (Assume the life spans of the tires have a bell-shaped distribution.) (a) The life spans of three randomly selected tires are 33000 miles, 36000 miles, and 31000 miles. Find the z-score that corresponds to each life span. For the life span of 33000 miles, z-score is

. (Round to the nearest hundredth as needed.)

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Need these 2 questions answered. 150 words total 75 for each question. Files are attached. Need referenced if using other source materials including chapter pages and appendix table. Thank you Question 1) Keri is the owner of a new restaurant in the downtown area of her hometown. To continuously improve service, she would like to know if completed dishes are being delivered to the customer’s table within one minute of being completed by the chef. A random sample of 75 completed dishes showed that 60 were delivered within one minute of completion. Calculate the 90%, 95%, and 99% confidence interval for the true population proportion. Interpret your response within the context of the situation. Refer to Chapter 17, pp. 427-430 on calculating confidence intervals. Click here for Table A.2 from the appendix. Your response should be at least 75 words in length, unless otherwise specified. You are required to use at least your textbook as source material for your response. All sources used, including the textbook, must be referenced; paraphrased and quoted material must have accompanying citations. Question 2) A random sample of 100 students attending a concert spent an average of $142 on their tickets with a standard deviation of $47.50. Calculate the 90%, 95%, and 99% confidence intervals for the mean amount of money spent by all students attending the concert. Interpret your response within the context of the situation. Refer to Chapter 17, pp. 427-430 on calculating confidence intervals. Click here for Table A.2 from the appendix. Your response should be at least 75 words in length, unless otherwise specified. You are required to use at least your textbook as source material for your response. All sources used, including the textbook, must be referenced; paraphrased and quoted material must have accompanying citations.