only ANSWER question 1 and 2

Scenario:

We are examining the relationship between the number of hours of sleep individuals receive each night and their scores on a validated cognitive function test, specifically the Montreal Cognitive Assessment (MoCA). MoCA is widely used for detecting cognitive impairment and measures various aspects of cognitive abilities including memory, attention, language, abstraction, and orientation.

Research Question:

What is the relationship between the number of hours of sleep per night and scores on the Montreal Cognitive Assessment (MoCA)?

Hypotheses:

• Null Hypothesis (H0): There is no relationship between the number of hours of sleep per night and MoCA scores.
• Alternative Hypothesis (H1): There is a relationship between the number of hours of sleep per night and MoCA scores.

Method:

• Sample Size: We aim to include 100 participants, ranging in age from 18 to 65, to ensure a wide representation of the adult population.
• Sampling Method: Participants will be recruited using a stratified random sampling method to include various age groups, genders, and ethnic backgrounds, helping to generalize the findings across a diverse population.
• Measurement Methods:
  • Sleep Measurement: Participants will be asked to record their sleep each night for one month using a sleep tracking device that records actual hours slept.
  • Cognitive Function Measurement: At the end of the sleep recording month, each participant will undergo a MoCA test administered by a qualified professional to assess their cognitive function.

Variables:

• Variable X (Independent Variable): Number of hours of sleep per night. This is a continuous variable, measured on a ratio scale.
• Variable Y (Dependent Variable): Scores on the Montreal Cognitive Assessment (MoCA). This is also a continuous variable, measured on an interval scale, with scores ranging from 0 to 30, where higher scores indicate better cognitive function.