Question

A certain type of hummingbird is known to have an average weight of 4.55 grams. A researcher believes that 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. H0:?<4.55, HA:?=4.55
B. H0:x=4.55, HA:x<4.55
C. H0:?=4.55, HA:??4.55
D. H0:?=3.75, HA:??3.75
E. H0:?=4.55, HA:?<4.55
F. H0:x=3.75, HA:x>3.75

Answer 1

Answer:

Null Hypothesis; H0 : μ = 4.55

Alternative Hypothesis; HA:μ ≠ 4.55

Step-by-step explanation:

Let μ be the population mean weight of hummingbirds who live in the Grand Canyon.

We are told that A certain type of hummingbird is known to have an average weight of 4.55 grams.

The 3.75 grams is just a sample mean of 30 humming birds and not the entire population, therefore, it has no relation with establishment for the null hypothesis and alternative hypothesis.

Thus;

μ = 4.55.

So the hypotheses will be;

Null Hypothesis; H0 : μ = 4.55

Alternative Hypothesis; HA:μ ≠ 4.55