(b) 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 18 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. ?0:?¯???71H0:x¯geq71,   ??:?¯<71  Ha:x¯<71 B. ?0:?≤69H0:μ≤69 ,   ??:?>69  Ha:μ>69 C. ?0:?≥71H0:μ≥71,   ??:?<71  Ha:μ<71 D. ?0:?>69H0:μ>69,   ??:?<69  Ha:μ<69 E. ?0:?¯≤69H0:x¯≤69,   ??:?¯>69  Ha:x¯>69 F. ?0:?=69H0:μ=69,   ??:?≠69  Ha:μ≠69

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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(b) 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 18 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. ?0:?¯???71H0:x¯geq71,   ??:?¯<71  Ha:x¯<71
B. ?0:?≤69H0:μ≤69 ,   ??:?>69  Ha:μ>69
C. ?0:?≥71H0:μ≥71,   ??:?<71  Ha:μ<71
D. ?0:?>69H0:μ>69,   ??:?<69  Ha:μ<69
E. ?0:?¯≤69H0:x¯≤69,   ??:?¯>69  Ha:x¯>69
F. ?0:?=69H0:μ=69,   ??:?≠69  Ha:μ≠69

 

(c) A certain type of hummingbird is known to have an average weight of 4.55 grams. A researcher wonders if hummingbirds (of this same type) 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.

A. ?0:?=3.75H0:μ=3.75,   ??:?≠3.75  Ha:μ≠3.75
B. ?0:?≥4.55H0:μ≥4.55,   ??:?<4.55  Ha:μ<4.55
C. ?0:?¯≤3.75H0:x¯≤3.75,   ??:?¯>3.75  Ha:x¯>3.75
D. ?0:?<4.55H0:μ<4.55,   ??:?=4.55  Ha:μ=4.55
E. ?0:?=4.55H0:μ=4.55,   ??:?≠4.55  Ha:μ≠4.55
F. ?0:?¯≥4.55H0:x¯≥4.55,   ??:?¯<4.55  Ha:x¯<4.55

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