Bill Alther is a zoologist who studies Anna's hummingbird (Calypteanna). 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 tham 4.55 grams? Establish the Null and AIternate Hypothesis. (c) Compute the Test statistics of the sample data using Student's t-distribution table. Take a= 0.05 (d) Find the P-value or range of P-values. (e) Conclude the test and interpret the result.

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Chapter1: Starting With Matlab
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need help in part d and e

Bill Alther is a zoologist who studies Anna's hummingbird (Calypteanna). 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 tham 4.55 grams? Establish the Null and AIternate Hypothesis.
(c) Compute the Test statistics of the sample data using Student's t-distribution table.
Take a= 0.05
(d) Find the P-value or range of P-values.
(e) Conclude the test and interpret the result.
Transcribed Image Text:Bill Alther is a zoologist who studies Anna's hummingbird (Calypteanna). 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 tham 4.55 grams? Establish the Null and AIternate Hypothesis. (c) Compute the Test statistics of the sample data using Student's t-distribution table. Take a= 0.05 (d) Find the P-value or range of P-values. (e) Conclude the test and interpret the result.
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