n the Grand Canyon, a random sample of six Anna's hummingbirds were caught, weighed, and released. The sample mean was = 3.75 grams and σ = 0.70 grams. For the population of Anna's hummingbirds the mean is µ = 4.55 grams. Assume a normal distribution. Do the data indicate that the mean weight of these birds is more than 4.55 grams? Use α = 0.05. Complete a hypothesis test: a) What are Ho and H1? b) Are we using a z or t test? Why? c) Calculate z or t. d) What is p? e) Do we reject or not reject Ho and why? f) What is the conclusion? That is, do the data indicate the mean weight of the birds is more than 4.55 grams? Explain.

n the Grand Canyon, a random sample of six Anna's hummingbirds were caught, weighed, and released. The sample mean was = 3.75 grams and σ = 0.70 grams. For the population of Anna's hummingbirds the mean is µ = 4.55 grams. Assume a normal distribution. Do the data indicate that the mean weight of these birds is more than 4.55 grams? Use α = 0.05. Complete a hypothesis test: a) What are Ho and H1? b) Are we using a z or t test? Why? c) Calculate z or t. d) What is p? e) Do we reject or not reject Ho and why? f) What is the conclusion? That is, do the data indicate the mean weight of the birds is more than 4.55 grams? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

In the Grand Canyon, a random sample of six Anna's hummingbirds were caught, weighed, and released. The sample mean was = 3.75 grams and σ = 0.70 grams. For the population of Anna's hummingbirds the mean is µ = 4.55 grams. Assume a normal distribution. Do the data indicate that the mean weight of these birds is more than 4.55 grams? Use α = 0.05. Complete a hypothesis test:

a) What are H_o and H₁?

b) Are we using a z or t test? Why?

c) Calculate z or t.

d) What is p?

e) Do we reject or not reject H_o and why?

f) What is the conclusion? That is, do the data indicate the mean weight of the birds is more than 4.55 grams? Explain.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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