Consider the approximately normal population of heights of male college students with mean μ = 67 inches and standard deviation of σ = 5 inches. A random sample of 23 heights is obtained

Consider the approximately normal population of heights of male college students with mean μ = 67 inches and standard deviation of σ = 5 inches. A random sample of 23 heights is obtained.

(a) Which best describes the distribution of x, height of male college students. a) skewed right b) approximately normal c) skewed left d) chi-square

(b) Find the proportion of male college students whose height is greater than 69 inches. (Give your answer correct to four decimal places.)

(c) Describe the distribution of x bar, the mean of samples of size 23. a) skewed right b) approximately normal c) skewed left d) chi-square

(d) Find the mean of the x bar distribution. (Give your answer correct to the nearest whole number.)

(ii) Find the standard error of the x bar distribution. (Give your answer correct to two decimal places.)

(e) Find P(x bar > 70). (Give your answer correct to four decimal places.)

(f) Find P(x bar < 67). (Give your answer correct to four decimal places.)

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Kindergarten children have heights that are approximately normally distributed about a mean of 39.1 inches and a standard deviation of 1.8 inches.
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.
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