Question

The FDA regulates that a fish that is consumed is allowed to contain at most 1 mg/kg of mercury. In Florida, bass fish were collected in 51 different lakes to measure the amount of mercury in the fish from each of the 51 lakes. Do the data provide enough evidence to show that the fish in all Florida lakes have different mercury than the allowable amount? State the random variable, population parameter, and hypotheses.

a) The symbol for the random variable involved in this problem is

SELECT AN ANSWER

μ

X̄

p

p̂

X

b) The wording for the random variable in context is as follows:

SELECT AN ANSWER

The mercury level in fish of a randomly selected florida lake

A randomly selected Florida lake

The mean mercury level in fish of all florida lakes

The mean mercury level in fish of 51 randomly selected florida lakes

All florida lakes

The mercury level in fish

51 randomly selected florida lakes

c) The wording for the parameter in context is as follows

SELECT AN ANSWER

The mercury level in fish of a randomly selected florida lake

A randomly selected Florida lake

The mean mercury level in fish of all florida lakes

The mean mercury level in fish of 51 randomly selected florida lakes

All florida lakes

The mercury level in fish

51 randomly selected florida lakes

d) Fill in the correct null and alternative hypotheses:

Ho:______, _________ , __________

SELECT AN ANSWER	SELECT AN ANSWER
μ	≤
X̄	≥
p	≠
p̂	=
X	<
	>

e) HA:_________, ___________, ________,

SELECT AN ANSWER	SELECT AN ANSWER
μ	≤
X̄	≥
p	≠
p̂	=
X	<
	>

f) A Type I error in the context of this problem would be:

Select answer

Rejecting that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is 1 mg/kg

Rejecting that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is different from that

Rejecting that the mean mercury level in fish for all florida lakes is different from 1 mg/kg when the mean really is 1 mg/kg

Failing to reject that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is 1 mg/kg

Failing to reject that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is different from that

Failing to reject that the mean mercury level in fish for all florida lakes is different from 1 mg/kg when the mean really is 1 mg/kg

e) A Type II error in the context of this problem would be:

Select answer

Rejecting that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is 1 mg/kg

Rejecting that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is different from that

Rejecting that the mean mercury level in fish for all florida lakes is different from 1 mg/kg when the mean really is 1 mg/kg

Failing to reject that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is 1 mg/kg

Failing to reject that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is different from that

Failing to reject that the mean mercury level in fish for all florida lakes is different from 1 mg/kg when the mean really is 1 mg/kg

Answer 1

a) X
b) The mercury level in fish of a randomly selected florida lake
c)The mean mercury level in fish of all florida lakes
d) µ=1
e) µ ╪ 1
f) Rejecting that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is 1 mg/kg
g) Failing to reject that the mean mercury level in fish for all florida lakes is 1 mg/kg when the mean really is different from that