Part III: Linear Regression (best fit or least squares line)
_ What is the maximum level of confidence we can have that the.
In the steps per day between the two samples?
_ Would we "fail to reject" or "reject" a null hypothesis of no difference.
_ Is the difference in the mean number of rooms per home statistically significantĪt a risk of a type I error alpha α = 0.05?.
=TTEST(data_range_x data_range_y 2 3) to determine the p-value for this two sample data.
_ What is the p-value? Use the difference of means for independent samples TTEST function.
_ Calculate the degrees of freedom using the cound of the smaller of the two sample sizes.
_ Are the sample means for the two samples mathematically different?.
The column had to be doubled to fit on the page. The second and third columns are both 2000 data, Note that the first column is the 1980 data. Use these two samples to determine if the sample means are statistically significantly different. The data table is based on Figure 2 of page eight of the sand mining report.įigure 2 represents a sample of 1/25 of the homes on Kosrae in 19. Kosraens have shifted from a median of 2.5 rooms per home in 1980 to a median of 3.8 rooms per home in 2000 (page 7). Over the period from 1980 to 2000 the number of rooms per home has increased. The increasing population of Kosrae is only one cause of the increased demand. Noted the increasing demand for sand aggregate used in construction. In the January 2000 Doug Ramsay produced the report Reducing the impact on sand mining of Kosrae and the provision of a long-term supply of sand aggregate for construction:Ī proposed way forward. Part II: Hypothesis Testing using the t-test 1980
_ Are the wave heights of November 2007 to February 2008 statistically significantly higher than the wave heights from 1986 to 1999?.
Is this a possible population mean for the wave heights of November 2007 to February 2008. The population mean wave height μ for Kosrae from 1986 to 1999 was 1.9 meters.
Write out the 95% confidence interval for the population mean μ wave height:.
_ Determine the margin of error E for the sample mean x.
_ Find t critical for a confidence level c of 95% for the data.
_ Calculate the standard error of the sample mean x.
_ Is the z-score for a 0.5 meter wave an ordinary or extraordinary value?.
To calculate the z-score for a 0.5 meter wave.
_ Is the z-score for a 3.5 meter wave an ordinary or extraordinary value?.
To calculate the z-score for the 3.5 meter wave event.
_ Use the sample mean x and sample standard deviation sx above.
_ What is the shape of the distribution?.
Sketch a histogram of the relative frequency data.
The frequencies in the second column, and the relative frequencies in the third column Use six classes (bins or intervals).įill in the following table with the class upper limits in the first column,
_ Calculate the sample Coefficient of Variation.
_ Calculate the sample standard deviation sx.
_ What level of measurement is the data?.
November and February and from wave directions that would have affected the Malem coast." ".this is fairly typical of wave conditions experienced off the north east coast of Kosrae during the trade wind season.ĭuring this period significant wave heights are all less than 3 meters, suggesting no severe storm event,Īlthough significant wave heights in excess of 2 meters have coincided with high spring tides particularly in Wave heights on the coast of Kosrae are generally between 2 and 2.5 meters. The figure depicts the frequency of wave heights in meters. The data in this first section of the final examination derives from Figure 6 of the report. Particularly along the southern coastline of Malem." "Over the period between November 2007 and February 2008 Kosrae experienced high sea levels whichĬaused severe flooding of coastal land and further coastal erosion, The data presented in this final may be altered in significant ways from the actual data. The data is effectively "based on real events" but is not the actual original data. The data, however, has been interpreted from graphs and charts and is not the original data. The data is based on data presented in the report. The text in this final comes directly from In May 2008 on the November 2007 to February 2008 coastal damage in Kosrae. MS 150 Statistics t7 final coastal Coastal damage Ī coastal engineering consultant for the state of Kosrae, Doug Ramsay, released a