Mean 14.00909091 Standard Error 0.402513425 Median 14 Mode 17 Standard Deviation 5.970238906 Sample Variance 35.64375259 Kurtosis -0.539022831 Skewness 0.046364524 Range 27 Minimum 2 Maximum 29 Sum 3082 Count 220 Above you can see the sample descriptive statistics. based on that please answer following questions. 1. Calculate the 95% confidence interval of the population mean, assume that the population standard deviation is known (σ = 5.80).   2. Calculate the 95% confidence interval of the population mean, assuming that the population standard deviation is unknown. In the past it has been found that the arrival time have a population mean value of μ = 13 days. Assume that the population standard deviation is unknown. The significance level alpha is set at 5%. 3. The research wants to know whether this mean has changed. Test the hypothesis with the critical value approach 4. The research wants to know whether the mean is more than 13 days. Test the hypothesis with p value approach.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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Question
100%

Mean

14.00909091

Standard Error

0.402513425

Median

14

Mode

17

Standard Deviation

5.970238906

Sample Variance

35.64375259

Kurtosis

-0.539022831

Skewness

0.046364524

Range

27

Minimum

2

Maximum

29

Sum

3082

Count

220

Above you can see the sample descriptive statistics. based on that please answer following questions.

1. Calculate the 95% confidence interval of the population mean, assume that the population standard deviation is known (σ = 5.80).

 

2. Calculate the 95% confidence interval of the population mean, assuming that the population standard deviation is unknown.

In the past it has been found that the arrival time have a population mean value of μ = 13 days. Assume that the population standard deviation is unknown. The significance level alpha is set at 5%.

3. The research wants to know whether this mean has changed. Test the hypothesis with the critical value approach

4. The research wants to know whether the mean is more than 13 days. Test the hypothesis with p value approach.

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