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For each statement, select tne correct nuli nypotnesis, Ho, and alternative nypolnesis, Ha, (a) According to the Merck Veterinary Manual, the average resting heart rate for a certain type of sheep dog is 115 beats per minute (bpm). Montana farmer notices his aging sheep dog has been acting more lethargic than usual and wonders if her heart rate is slowing. He measu her heart rate on 15 occasions and finds a sample mean heart rate of 118.2 bpm. OA. Ho : µ = 115, H : µ > 115 OB. Ho : = 115, H : > 115 OC. H, : µ = 118.2, H: u < 118.2 OD. Hо : и - 115. . На : и 115 OE. Ho : H = 115, Ha : µ <115 O F. Ho : = 118.2, Ha : + 118.2 (b) A certain type of hummingbird is known to have an average weight of 4.55 grams. A researcher wonders if hummingbirds (of this same ty living in the Grand Canyon differ in weight from the population as a whole. The researcher finds a sample of 30 such hummingbirds from the Grand Canyon and calculates their average weight to be 3.75 grams. OA. Ho : µ < 4.55, Ha : p = 4.55 OB. Ho : µ = 3.75, H : p + 3.75 C. Ho u = 4.55, H : u < 4.55 OD. Ho : = 3.75, H, : > 3.75 OE. Ho: u= 4.55, H.: µ 4.55 O F. Ho : = 4.55, H.: < 4.55 (C) The mean height of all adult American males is 69 inches (5 ft 9 in). A researcher wonders if young American males between the ages of and 21 tend to be taller than 69 inches. A random sample of 100 young American males ages 18 to 21 yielded a sample mean of 71 inches. A. Ho : H = 69, Ha u 69 B. Ho : = 71. H : T < 71 С. Но : и > 69, Н. : д < 69

For each statement, select tne correct nuli nypotnesis, Ho, and alternative nypolnesis, Ha, (a) According to the Merck Veterinary Manual, the average resting heart rate for a certain type of sheep dog is 115 beats per minute (bpm). Montana farmer notices his aging sheep dog has been acting more lethargic than usual and wonders if her heart rate is slowing. He measu her heart rate on 15 occasions and finds a sample mean heart rate of 118.2 bpm. OA. Ho : µ = 115, H : µ > 115 OB. Ho : = 115, H : > 115 OC. H, : µ = 118.2, H: u < 118.2 OD. Hо : и - 115. . На : и 115 OE. Ho : H = 115, Ha : µ <115 O F. Ho : = 118.2, Ha : + 118.2 (b) A certain type of hummingbird is known to have an average weight of 4.55 grams. A researcher wonders if hummingbirds (of this same ty living in the Grand Canyon differ in weight from the population as a whole. The researcher finds a sample of 30 such hummingbirds from the Grand Canyon and calculates their average weight to be 3.75 grams. OA. Ho : µ < 4.55, Ha : p = 4.55 OB. Ho : µ = 3.75, H : p + 3.75 C. Ho u = 4.55, H : u < 4.55 OD. Ho : = 3.75, H, : > 3.75 OE. Ho: u= 4.55, H.: µ 4.55 O F. Ho : = 4.55, H.: < 4.55 (C) The mean height of all adult American males is 69 inches (5 ft 9 in). A researcher wonders if young American males between the ages of and 21 tend to be taller than 69 inches. A random sample of 100 young American males ages 18 to 21 yielded a sample mean of 71 inches. A. Ho : H = 69, Ha u 69 B. Ho : = 71. H : T < 71 С. Но : и > 69, Н. : д < 69

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Understanding Hypothesis Testing: Selecting the Correct Null and Alternative Hypotheses Hypothesis testing is a fundamental aspect of statistical analysis used to determine whether there is enough evidence to reject a null hypothesis. In this exercise, we focus on selecting the correct null hypothesis (\(H_0\)) and alternative hypothesis (\(H_a\)) for different scenarios: #### (a) Sheep Dog Heart Rate According to the Merck Veterinary Manual, the average resting heart rate for a certain type of sheep dog is 115 beats per minute (bpm). A Montana farmer observes that his aging sheep dog appears lethargic and measures her heart rate on 15 occasions, finding an average of 118.2 bpm. Which hypotheses should be chosen? - **\(H_0: \mu = 115, \quad H_a: \mu \neq 115\)** - **\(H_0: \bar{x} = 118.2, \quad H_a: \bar{x} \neq 118.2\)** (Correct) #### (b) Hummingbird Weight A certain type of hummingbird is known to weigh an average of 4.55 grams. A researcher investigates whether these hummingbirds living in the Grand Canyon differ in weight. A sample of 30 hummingbirds indicates an average weight of 3.75 grams. Which hypotheses should be chosen? - **\(H_0: \mu = 4.55, \quad H_a: \mu \neq 4.55\)** - **\(H_0: \bar{x} = 4.55, \quad H_a: \bar{x} < 4.55\)** (Correct) #### (c) Height of Young American Males The mean height of all adult American males is 69 inches (5 feet 9 inches). A researcher questions whether young American males, ages 18 to 21, are taller. A random sample of 100 young males shows an average height of 71 inches. Which hypotheses should be chosen? - **\(H_0: \mu = 69, \quad H_a: \mu > 69\)** (Correct) - **\(H_0: \bar{x} = 69, \quad H_a: \bar{x} \neq 69\)** This exercise helps in understanding how to set up hypotheses for tests based on sample data and population parameters.
Transcribed Image Text:### Understanding Hypothesis Testing: Selecting the Correct Null and Alternative Hypotheses Hypothesis testing is a fundamental aspect of statistical analysis used to determine whether there is enough evidence to reject a null hypothesis. In this exercise, we focus on selecting the correct null hypothesis (\(H_0\)) and alternative hypothesis (\(H_a\)) for different scenarios: #### (a) Sheep Dog Heart Rate According to the Merck Veterinary Manual, the average resting heart rate for a certain type of sheep dog is 115 beats per minute (bpm). A Montana farmer observes that his aging sheep dog appears lethargic and measures her heart rate on 15 occasions, finding an average of 118.2 bpm. Which hypotheses should be chosen? - **\(H_0: \mu = 115, \quad H_a: \mu \neq 115\)** - **\(H_0: \bar{x} = 118.2, \quad H_a: \bar{x} \neq 118.2\)** (Correct) #### (b) Hummingbird Weight A certain type of hummingbird is known to weigh an average of 4.55 grams. A researcher investigates whether these hummingbirds living in the Grand Canyon differ in weight. A sample of 30 hummingbirds indicates an average weight of 3.75 grams. Which hypotheses should be chosen? - **\(H_0: \mu = 4.55, \quad H_a: \mu \neq 4.55\)** - **\(H_0: \bar{x} = 4.55, \quad H_a: \bar{x} < 4.55\)** (Correct) #### (c) Height of Young American Males The mean height of all adult American males is 69 inches (5 feet 9 inches). A researcher questions whether young American males, ages 18 to 21, are taller. A random sample of 100 young males shows an average height of 71 inches. Which hypotheses should be chosen? - **\(H_0: \mu = 69, \quad H_a: \mu > 69\)** (Correct) - **\(H_0: \bar{x} = 69, \quad H_a: \bar{x} \neq 69\)** This exercise helps in understanding how to set up hypotheses for tests based on sample data and population parameters.
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