Math  /  Data & Statistics

QuestionThe Food and Drug Administration (FDA) regulates the amount of mercury in consumable fish, where consumable fish should only contain at most 1mg/kg1 \mathrm{mg} / \mathrm{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 \square xx- \checkmark 060^{6} b. The wording for the random variable in context is as follows: the mercury level in fish of a randomly selected Florida lake Select an answer c. the mercury level in fish of a randomly selected Florida lake d. 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 e. all Florida lakes the mercury level in fish 51 randomly selected Florida lakes f. A Type I error in the context of this problem would be
Rejecting that the mean mercury level in fish for all Florida lakes is 1mg/kg1 \mathrm{mg} / \mathrm{kg} when the mean really is 1mg/kg1 \mathrm{mg} / \mathrm{kg}.

Studdy Solution
a. The symbol for the random variable is XX. b. The random variable is the mercury level in fish of a randomly selected Florida lake. c. The population parameter is μ\mu, the mean mercury level in fish of all Florida lakes. d. The null hypothesis is H0:μ=1H_0: \mu = 1. e. The alternative hypothesis is Ha:μ1H_a: \mu \neq 1. f. A Type I error would be rejecting that the mean mercury level in fish for all Florida lakes is $1\$1 mg/kg when it actually *is* $1\$1 mg/kg.

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