d) Find the P-value or range of P-values. (e) Conclude the test and interpret the result. Note: Solve part (d) and (e) only
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
2. Bill Alther is a zoologist who studies Anna’s hummingbird (Calypte anna). A random sample of nine of these birds was caught, weighed, and released in a remote part of the Grand Canyon. The weights observed (in grams) were :
3.7 2.9 3.8 4.2 4.8 3.1 3.5 4.3 3.0
Let x be a random variable representing weights of Anna’s hummingbirds in this part of the Grand Canyon. Assuming x has a normal distribution with sample standard deviation 0.648. The population mean is 4.55 grams.
(a) Calculate the Sample Mean of the above mentioned data values.
(b) Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.55 grams? Establish the Null and Alternate Hypothesis.
(c) Compute the Test statistics of the sample data using Student’s t-distribution table. Take α= 0.05
(d) Find the P-value or
(e) Conclude the test and interpret the result.
Note: Solve part (d) and (e) only
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