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 59 different lakes to measure the amount of mercury in the fish from each of the 59 lakes. Do the data provide enough evidence to show that the fish in all Florida lakes have a mercury level higher than the allowable amount? State the random variable, population parameter, and hypotheses. a) The symbol for the random variable involved in this problem is X The wording for the random variable in context is as follows: |the mercury level in fish b) The symbol for the parameter involved in this problem is uv The wording for the parameter in context is as follows: the mean mercury level in fish of 59 randomly selected Florida lakes v c) Fill in the correct null and alternative hypotheses: Họ: X X 2 v U syntax incomplete.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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."
Transcribed Image Text: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."
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