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 50 different lakes to measure the amount of mercury in the fish from each of the 50 lakes. Do the data provide enough evidence to show that the fish in all Florida lakes have lower 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 ? X̄ p̂ μ X p 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 50 randomly selected Florida lakes all Florida lakes the mercury level in fish 50 randomly selected Florida lakes b) The symbol for the parameter involved in this problem is ? p̂ p μ X̄ X The wording for the parameter in context is as follows: Select an answer the mercury level in fish the mercury level in fish of a randomly selected Florida lake the mean mercury level in fish of all Florida lakes a randomly selected Florida lake 50 randomly selected Florida lakes all Florida lakes the mean mercury level in fish of 50 randomly selected Florida lakes c) Fill in the correct null and alternative hypotheses: H0:H0: ? p X̄ p̂ X μ ? > = ≤ ≠ < ≥ HA:HA: ? p X̄ μ X p̂ ? > ≤ ≥ ≠ < = d) A Type I error in the context of this problem would be: Select an 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 is really lower from that. Rejecting that the mean mercury level in fish for all Florida lakes is lower 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 lower than that. Failing to reject that the mean mercury level in fish for all Florida lakes is lower 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 an 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 is really lower from that. Rejecting that the mean mercury level in fish for all Florida lakes is lower 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 lower than that. Failing to reject that the mean mercury level in fish for all Florida lakes is lower from 1 mg/kg when the mean really is 1 mg/kg.
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 50 different lakes to measure the amount of mercury in the fish from each of the 50 lakes. Do the data provide enough evidence to show that the fish in all Florida lakes have lower 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 ? X̄ p̂ μ X p
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
b) The symbol for the parameter involved in this problem is ? p̂ p μ X̄ X
The wording for the parameter in context is as follows: Select an answer the mercury level in fish the mercury level in fish of a randomly selected Florida lake the mean mercury level in fish of all Florida lakes a randomly selected Florida lake 50 randomly selected Florida lakes all Florida lakes the mean mercury level in fish of 50 randomly selected Florida lakes
c) Fill in the correct null and alternative hypotheses:
H0:H0: ? p X̄ p̂ X μ ? > = ≤ ≠ < ≥
HA:HA: ? p X̄ μ X p̂ ? > ≤ ≥ ≠ < =
d) A Type I error in the context of this problem would be:
Select an 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 is really lower from that. Rejecting that the mean mercury level in fish for all Florida lakes is lower 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 lower than that. Failing to reject that the mean mercury level in fish for all Florida lakes is lower 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 an 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 is really lower from that. Rejecting that the mean mercury level in fish for all Florida lakes is lower 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 lower than that. Failing to reject that the mean mercury level in fish for all Florida lakes is lower from 1 mg/kg when the mean really is 1 mg/kg.
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