Question

In: Math

A numerical taxonomist studying the branched lamentous alga, Cladophora glom- erata, believes she has discovered a...

A numerical taxonomist studying the branched lamentous alga, Cladophora glom-
erata, believes she has discovered a new species. C. glomerata has a median branching
angle of 47. While the new species is quite similar to C. glomerata, she believes
the branching angle is less than that of C. glomerata. Measuring 17 specimens she
collected, she found the branching angles below. Are the angles of her sample
specimens significantly smaller than those of C. glomerata?
42 40 39 45 38 39 41 41 40
45 49 43 42 40 35 40 47

(c) Determine the 95 percent confidence interval for the population mean

(c) Evaluate the specified hypothesis by a t test, sign test and Wilcoxon signed-rank test

Solutions

Expert Solution

Calculate the 95% confidence interval for the given data as follows:

From the given data, the summarised statistics are given as,

the researcher is 95% confident that the true population mean lies between

39.7565 and 43.3023.

For the given data, signed test tis the suitable test to test the population median.

From the given scenario, the null and alternate hypotheses can be stated

follows:

Null hypothesis: The true median is equal to 47.

Altenate hypothesis: The hue median is not equal to 47.

Calculate the test statistic by using Excel as follows:

milcah answered 3 weeks ago
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