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Alabama Southern Community Theoretical Interpretation of The Interval Questions

Question Description

  • Copy and paste a printout for a 92% confidence interval for the mean size/mileage of all automobiles/homes/apartments(you will show one confidence interval using a 75 cases) in the space provided below. Answer the following questions regarding this printout:
  • Copy and paste a 90% confidence interval for the mean price of all automobiles/homes/apartments from model/location 1 in the space provided. Answer the following questions regarding this printout:
  • TESTS OF HYPOTHESIS:Use Statistix to create a printout to conduct the appropriate test for the data set you worked with: Use only model/location 3 in this analysis.

Descriptive Statistics

Variable NLo 92% CIUp 92% CI

size 751190.71442.4

  • In the words of the problem, give a practical interpretation of this interval.
  • Give a theoretical interpretation of the interval (i.e., explain what we mean when we say we are “92% confident.”
  • Is the sample size for this problem considered large? Why or why not?

  • Pick the claim based on your data set:
  • Is the sample size for this problem considered large? Why or why not?

location NLo 90% CIUp 90% CI

1251425.3 1612.4

What assumptions are necessary for this confidence interval to be valid? Make sure you use the words of the problem when stating these assumptions.

The mean price of all model 1 automobiles is $10,000.

The mean price of all location 1 homes is $250,000.

The mean rent of all location 1 apartments is $1,200.

Based on the interval you created, make a statement regarding my claim.

Apartment Data Set: Test to determine if the average size differed from 750 square feet.

Automobile Data Set: Test to determine if the average mileage differed from 30,000 miles.

Home Data Set: Test to determine if the average size of the home differed from 1,800 square feet.

Copy the results here and answer the following questions.

One-Sample T Test

Null Hypothesis: ? = 750

Alternative Hyp: ? ? 750

LowerUpper

VariableMeanSETDFP95% C.I.95% C.I.

Size 901.8065.3262.32240.0289766.971036.6

Cases Included 25Missing Cases 0

  • State the null and alternative hypotheses that are being tested with the specified test.
  • Identify the test statistic and p-value you will use in this test of hypothesis
  • What assumption(s) is/are necessary for this analysis to be valid? Make sure you state your answer in the words of the problem
  • Make a conclusion for the test of hypothesis conducted above.You should choose alpha.

Ho:

Ha:

Test Statistic:____________P-value:___________

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