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A 1990 census report revealed that the mean distance that U. S. citizens live from their birthplace is 50 miles and that the standard deviation is 15 miles. A random sample of 49 residents of your city yielded a mean distance of 56 miles.

a. Set up the null and alternative hypotheses to test if the mean distance from residence to birthplace for people living in your city differs from the census report.

b. Test your hypothesis using a = 0.01.

c. Find the p value.

d. Based on the results of the study, what can you conclude?

Can you please show this in Excel format?

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Solution Summary

This solution provides a null and alternative hypothesis and calculates the z-test statistic and also the p-value from the confidence level. It then compares the z-value with the p-value and makes a decision to either accept or reject the null hypothesis. All steps are shown in an Excel file.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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