From candy to jewelry to flowers, the average consumer was expected to spend $104.63 for Mother’s Day in 2005, according to a Democrat & Chronicle article. Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 60 consumers was taken at a local shopping mall the Saturday before Mother’s Day and produced the sample mean amount of $94.27. If σ = $29.50, does the sample provide sufficient evidence to support the merchants’ claim at the 0.03 level of significance? 1. Do you recognize any flaws in this study and what conclusions can you draw?
From candy to jewelry to flowers, the average consumer was expected to spend $104.63 for Mother’s Day in 2005, according to a Democrat & Chronicle article. Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 60 consumers was taken at a local shopping mall the Saturday before Mother’s Day and produced the sample
1. Do you recognize any flaws in this study and what conclusions can you draw?
The article “Well-fed Crickets Bowl Maidens Over” reports that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate doe male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate was related to nutritional status, investigators fed male crickets a high protein diet for 8 days, after which chirp rate was measured. The mean chirp rate for the crickets on the high protein diet was reported to be 109 chirps per second. Is there convincing evidence that the mean chirp rate for crickets on a high protein diet is greater than 60 (which would then imply an advantage to attracting the ladies)? The
- What is the degrees of freedom?
A study was conducted to see of airbags save lives. The table below lists the results from a simple random sample of front-seat occupants involved in car crashes.
|
|
Airbag Available |
No Airbag Available |
|
Occupant Fatalities |
41 |
52 |
|
Total number of occupants |
11,541 |
9,853 |
- What conclusion can you make?
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