Question

Biologists are investigating if their efforts to prevent erosion on the bank of a stream have been working. For this stream, narrow channel width is a good indicator that erosion is not occurring. Test the claim that the mean width of ten locations within the stream is more than 3.7 meters. Show your work.

Use a .05 significance level and the following sample data:

3.3       3.3       3.5       4.9       3.5       4.1       4.1       5        7.3       6.2

The sample standard deviation is 1.3. (hint: you need to calculate x-bar)

Complete the following questions.

1. What are the null and alternative hypotheses.

2. Calculate the test statistic.

3. What is the level of significance?

4. The p-value is 0.039. What is your decision about the null hypothesis?

5. What is your conclusion?

Answer 1

given data and some necessary calculations are:-

sample size (n) = 10

sample sd (s) = 1.3

a).hypothesis:-

2).the test statistic is :-

3).level of significance () = 0.05

4).p value = 0.039

decision about the null hypothesis is:-

p value = 0.0.34 <0.05 ()

so, we reject the null hypothesis.

5).conclusion:-

there is sufficient evidence to support  the claim that the mean width of ten locations within the stream is more than 3.7 meters at 0.05 level of significance.

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