The FDA regulates that fish consumed by humans must contain at most 1 mg/kg of mercury. In Florida, bass fish from 59 different lakes were analyzed to measure mercury amounts. The investigation aims to determine if the fish from all Florida lakes have a mercury level exceeding the allowable limit. The random variable, population parameter, and hypotheses are outlined below.a) **Symbol for the random variable:** - The symbol used for the random variable is \( \bar{x} \). - Contextual wording: "the mercury level in fish."b) **Symbol for the parameter:** - The symbol used for the parameter is \( \mu \). - Contextual wording: "the mean mercury level in fish of 59 randomly selected Florida lakes."c) **Null and alternative hypotheses:** - Null hypothesis \( H_0: \) \[ \mu \leq 1 \] (Note: syntax is incomplete with icons displayed for greater or equal sign and a placeholder). - Alternative hypothesis \( H_A: \) \[ \mu > 1 \] (Note: syntax is incomplete with icons displayed for the greater-than sign and a placeholder).d) **Type I error in the context:** - A Type I error would occur if we reject "that the mean mercury level in fish for all Florida lakes is 1 mg/kg when the mean is really lower than that."- **Dropdown menu explanation:** The dropdown menu lists possible interpretations of a Type I error, with the correct choice being highlighted: "Rejecting that the mean mercury level in fish for all Florida lakes is 1 mg/kg when the mean is really lower than that."

To test that the given data provide enough evidence to show that the fish in all Florida lakes have higher mercury than the allowable amounta) The symbol for random variable involved in the study is X. Let X be the amount of mercury level in fish of a randomly selected Florida lake. c) parameter symbol = μ The mean Mercury level in fish of all Florida lake. c) The null and alternative hypothesis is: H0: μ=1 Ha: μ>1 d) Type 1 refers to rejecting the null hypothesis when it is trueRejecting that the mean mercury level in fish for all Florida lakes is 1 mg/kg when the mean really is 1 mg/g Type 2 : Fail to reject the null hypothesis when it is false. Failing to reject the mean mercury level in fish for all Florida lakes is 1 mg/kg when the mean is really higher than that.