Determine the Null and Alternative Hypotheses for the Proposed Hypothesis $\mu _ { 1 }$

question 93

Multiple Choice

Determine the null and alternative hypotheses for the proposed hypothesis test.
-A nutritionist wants to investigate whether her new diet will be effective in helping women aged 30-40 to lose weight. She will use a paired sample to determine whether the mean weight of Women before going on this diet is greater than the mean weight of women after being on this diet For two months.

• A) Let \(\mu _ { 1 }\) denote the mean weight of women before going on this diet and let \(\mu _ { 2 }\) denote the mean weight of women who have been on this diet for two months. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } > \mu _ { 2 }\).
• B) Let \(\mu _ { 1 }\) denote the mean weight of women before going on this diet and let \(\mu _ { 2 }\) denote the mean weight of women who have been on this diet for two months. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } > \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } \leq \mu _ { 2 }\).
• C) Let \(\mu _ { 1 }\) denote the mean weight of women before going on this diet and let \(\mu _ { 2 }\) denote the mean weight of women who have been on this diet for two months. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } > \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } < \mu _ { 2 }\).
• D) Let \(\mu _ { 1 }\) denote the mean weight of women before going on this diet and let \(\mu _ { 2 }\) denote the mean weight of women who have been on this diet for two months. The null and alternative hypotheses are \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }\) and \(\mathrm { H } _ { \mathrm { a } } : \mu _ { 1 } < \mu _ { 2 }\).

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Definitions:

Masking Stimuli

Stimuli that interfere with the perception of other stimuli, often used in psychological experiments to test sensory detection and processing.

Sensory Adaptation

A method where sensory detectors decrease their sensitivity to unchanging stimuli over time, enabling organisms to concentrate on environmental changes.

Motivation

The reason or reasons one has for acting or behaving in a particular way.

Sensory Adaptation

The process by which sensory receptors become less sensitive to constant stimuli, helping organisms to focus on changes in their environment.