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The Excel data for this assignment shows the annual energy usage in kWh for a random...

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Basic Math

The Excel data for this assignment shows the annual energy usagein kWh for a random sample of 250 detached single-family homes inthe Southeast. A contractor building a new housing development inTown A hypothesizes that mean annual energy usage will be below16,500 kWh per household. Use the data to run a single meanhypothesis test and calculate a test statistic in Excel. In yourmethod summary, state the hypothesis and your assumptions. In yourresulting conclusions, state your conclusion regarding thehypothesis in words, using a 99% confidence level.

The Mean of the data is 14651.548

The Standard Deviation is 7980.99357

Answer & Explanation Solved by verified expert
4.0 Ratings (798 Votes)

using excel>addins>phstat>one sample t test

we have

t Test for Hypothesis of the Mean
Data
Null Hypothesis                m= 16500
Level of Significance 0.05
Sample Size 250
Sample Mean 14651.548
Sample Standard Deviation 7980.99357
Intermediate Calculations
Standard Error of the Mean 504.7624
Degrees of Freedom 249
t Test Statistic -3.6620
Lower-Tail Test Calculations Area
Lower Critical Value -1.6510 For one-tailed tests:
p-Value 0.0002 T.DIST.RT value 0.000152807
Reject the null hypothesis 1-T.DIST.RT value 0.999847193

since p value is less than 0.05 so we have sufficient evidence to conclude that mean annual energy usage will be below 16,500 kWh per household
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