Question

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 notices his aging sheep dog has been acting more lethargic than usual and wonders if her heart rate is slowing. He measures her heart rate on 15 occasions and finds a sample mean heart rate of 118.2 bpm.

A. H0:μ≥118.2, Ha:μ<118.2
B. H0:μ≥115, Ha:μ<115
C. H0:μ=115, Ha:μ≠115
D. H0:x�=118.2, Ha:x�≠118.2
E. H0:μ<115, Ha:μ>115
F. H0:x�≥115, Ha:x�>115

Answer 1

C: H0:μ=115, Ha:μ≠115

Step-by-step explanation:

In statistics, H0 is null hypothesis otherwise known as hypothesis of no difference. Meaning that there is no difference in the observed data or population

Ha is the alternate hypothesis, meaning there is a significant difference in the observed data or population.

In this case, the normal heart rate is 115 bpm. This represents the standard. The observed mean of 118.2 will be statistically compared to 115.

Hence, the hypothesis of no difference (H0) will assume that the observed mean 118.2 is the same is the standard mean, H0:μ=115 while the alternate hypothesis will assume that 118.2 is significantly different from 115, Ha:μ≠115.

Correct option: C