Construct a boxplot on your graphing calculator

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Reference no: EM132330005

Confidence Intervals for Population Means, Sigma Known, Assignment

1. In a random sample of n = 87young adults, the mean time per day spent in bed asleepwas 7.06 hours.Assume the population standard deviation was 1.11 hours. Follow the steps below to construct a 99% confidence interval for the population mean time spent in bed asleep.

(a) Calculate σ/√n.

(b) For a 99% confidence interval, α = 0.01. Zα /2 = Z_0.005 Find to 3 decimal places.

(See p. 287. You can also use invNorm to find this value. )

(d) Once you have the margin of error, E, the endpoints confidence interval are (x‾-E,x‾+E). Find a 99% confidence interval for the population mean number of hours spent sleeping.

(e) Use the ZInterval procedure on your calculator to check your answer. Are the results about the same?

(f) Complete the sentence below to interpret your confidence interval. "With 99% confidence, the population mean time spent in bed asleep is between ___________ and ____________ ."

2. In a random sample of Samsung Galaxy smartphones being sold over the internet had the following prices in dollars.

199	169	385	329	269	149
135	249	349	299	249

Assume the population standard deviation is $85.

(a) Why is it necessary to check whether the population from which this sample was drawn is approximately normal before constructing the CI?

(b) Construct a boxplot on your graphing calculator and sketch it here. Is it reasonable to assume the population is approximately normal?

(c) Construct a 90% confidence interval for the population mean price. (Use the ZInterval procedure on your graphing calculator.)

(d) Interpret this confidence interval.

(e) Construct a 99% confidence interval for the population mean price.

(f) Which interval is wider?

Reference no: EM132330005

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len2330005

6/28/2019 11:27:30 PM

The CI for means, sigma known assignment on calculating the confidence intervals for population means, with standard deviation known, by hand and with the graphing calculator. You will also determine the necessary sample size necessary to construct a CI for a population mean with a given margin of error. The Assessing normality assignment in which you will construct plots using your graphing calculator and use the plots to decide whether or not the data came from a normally distributed population.

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