What statistical test would i do for a hypthesis that states...

Name: what statistical test would i do for a hypthesis that states an increase in well pumping will lead to a decrease in aquifer dishcarge 91622
Uploaded: 2021-07-29T20:22:05-08:00
Duration: 2 min 10 s
Channel: Maxime Rossetti
Description: what statistical test would i do for a hypthesis that states an increase in well pumping will lead to a decrease in aquifer dishcarge 91622

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Storm Hydrology and Clear Cutting. In the document "Peak Discharge from Unlogged and Logged Watersheds", J. Jones and G. Grant compiled (paired) data on peak discharge from storms in two watersheds, one unlogged and one logged (100\% clear-cut). If there is an effect due to clear-cutting, one would expect that the runoff would be greater in the logged area than in the unlogged area. The runoffs, in cubic meters per second per square kilometer $\left(\mathrm{m}^{3} / \mathrm{s} / \mathrm{km}^{2}\right),$ are provided on the WeissStats CD. Use the technology of your choice to do the following. a. Formulate the null and alternative hypotheses to reflect the expectation expressed above. b. Perform the required hypothesis test at the $1 \%$ significance level. c. Obtain and interpret a $99 \%$ confidence interval for the difference between mean runoffs in the logged and unlogged watersheds. d. Construct a histogram of the sample data to identify the approximate shape of the paired-difference variable. e. Based on your result from part (d), do you think that applying the paired $t$ -procedures in parts (b) and (c) is reasonable? Explain your answer.

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Earlier this semester, students collected data on the species richness (number of species) of trees in the Rowan Hall Woods using transects and plots. Below are the species richness values reported from 15 randomly selected 30-meter transects and 15 randomly selected 5x5-meter plots. Is there a difference in species richness found using these two methods? For this hypothesis test, indicate: Results of normality test (2 points) Name of the statistical test used to evaluate the null hypothesis (1 point) Null hypothesis (1 point) Alternative hypothesis (1 point) Assumptions (1 point) Test statistic (1 point) P-value (1 point) Conclusion (2 points) Transect (# of species) 3 4 2 4 6 2 4 3 5 2 3 2 3 3 11 5 5 3 4 4 7 4 10 4 4 2 5 2 5 2 Earlier this semester, students estimated discharge (m3/second) of the Chestnut Branch of Mantua Creek on campus. Below are the discharge estimates from 10 randomly selected sites along the stream. Does the discharge reported from these measurements differ from the baseline discharge of 0.34 m3/second? For this hypothesis test, indicate: Results of normality test (2 points) Name of the statistical test used to evaluate the null hypothesis (1 point) Null hypothesis (1 point) Alternative hypothesis (1 point) Assumptions (1 point) Test statistic (1 point) P-value (1 point) Conclusion (2 points) Discharge (m3/second) 2.64 1.75 9.26 6.46 0.06 18.03 19.61 5.9 4.76 0.012

Rabia S.

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A study was conducted by the Department of Biological Sciences at Virginia Tech to determine if there is a significant difference in the density of organisms at two different stations located on Cedar Run, a secondary stream in the Roanoke River drainage basin. Sewage from a sewage treatment plant and overflow from the Federal Mogul Corporation settling pond enter the stream near its headwaters. The following data give the density measurements, in number of organisms per square meter, at the two collecting stations: Can we conclude, at the 0.05 level of significance, that the average densities at the two stations are equal? Assume that the observations come from normal populations with different variances.

Sheryl E.

Transcript

00:01 Okay, so for this problem, we are assuming a null hypothesis of a mean difference of zero.

00:07 And our alternative hypothesis is that the mean difference is less than zero, since we're looking at runoff.

00:14 The average difference is going to be negative 0 .15.

00:19 The standard deviation is going to be a low 0 .1373.

00:24 Our calculated t statistic is negative 20 .204.

00:30 Our degrees of freedom is going to be one less than the sample size, which is 341.

00:35 However, in the table, we only go up by 50s.

00:39 So we'll round down to about 300 instead of going up to 400.

00:45 For fun, we probably could average out the next two numbers and sort of interpolate the two...

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What statistical test would i do for a hypthesis that states: an increase in well pumping will lead to a decrease in aquifer dishcarge

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What statistical test would i do for a hypthesis that states: an increase in well pumping will lead to a decrease in aquifer dishcarge

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