In a neighborhood of 150 homes, a survey of 45 homes found that the average number of pets was 2.1 (SD=0.75). The city-wide average for neighborhoods is 2.5 pets. Find the critical value of t and the value of t we obtain (or observe) presuming a 2-tailed test. Also calculate the effect size. Finally, write up a 1 paragraph summary, of the findings starting with a statement of the hypotheses. Include all relevant information in your summary given this minimal information.

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In a neighborhood of 150 homes, a survey of 45 homes found that the average number of pets was 2.1 (SD=0.75). The city-wide average for neighborhoods is 2.5 pets. Find the critical value of t and the value of t we obtain (or observe) presuming a 2-tailed test. Also calculate the effect size. Finally, write up a 1 paragraph summary, of the findings starting with a statement of the hypotheses. Include all relevant information in your summary given this minimal information.

Expert Solution
Step 1

Assume,

  • μ  be the population mean number of pets per home.
  • be the random variable representing the number of pets per home.
  • x be the sample mean number of pets per home.
  • s be the sample standard deviation associated with x.
  • n be the sample size.

The data mentioned in the question can be expressed as, x=2.1 , s=0.75 and n=45.

 

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