Question

In: Statistics and Probability

In a survey, 30 people were asked how much they spent on their child's last birthday...

In a survey, 30 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $32 and standard deviation of $10. Find the margin of error at a 90% confidence level.m  

Solutions

Expert Solution

Given, mean(x) = $32, standard deviation() = $10, sample size(n) = 30 and level of significance () = 10%

where is standard normal variate. So,

margin of error =

= =

The margin of error is 3.003078 at 90% confidence level.

We also calculated margin of error with the help of R software.


Related Solutions

In a survey, 17 people were asked how much they spent on their child's last birthday...
In a survey, 17 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $34 and standard deviation of $8. Find the margin of error at a 95% confidence level. Give your answer to two decimal places.
In a survey, 14 people were asked how much they spent on their child's last birthday...
In a survey, 14 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $41 and standard deviation of $12. Construct a confidence interval at a 99% confidence level.
In a survey, 24 people were asked how much they spent on their child's last birthday...
In a survey, 24 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $31 and standard deviation of $13. Construct a confidence interval at a 80% confidence level.
In a survey, 18 people were asked how much they spent on their child's last birthday...
In a survey, 18 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $33 and standard deviation of $5. Construct a confidence interval at a 95% confidence level. Give your answers to one decimal place. ±±   
In a survey, 32 people were asked how much they spent on their child's last birthday...
In a survey, 32 people were asked how much they spent on their child's last birthday gift. The results were roughly shaped as a normal curve with a mean of $39 and standard deviation of $6. Find the margin of error at a 98% confidence level.
In a survey, 25 people were asked how much they spent on their child's last birthday...
In a survey, 25 people were asked how much they spent on their child's last birthday gift. The results were roughly shaped as a normal curve with a mean of $40 and standard deviation of $6. Construct a confidence interval at a 98% confidence level. Give your answers to one decimal place. ± Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 75 cookies and finds...
In a survey, 26 people were asked how much they spent on their child's last birthday...
In a survey, 26 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $42 and standard deviation of $7. Construct a confidence interval at a 90% confidence level. Give your answers to one decimal place and Interpret your confidence interval in the context of this problem.
In a survey, 20 people were asked how much they spent on their child's last birthday...
In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $37 and a standard deviation of $9. Find the margin of error at a 95% confidence level. Give your answer to two decimal places.
In a survey, 21 people were asked how much they spent on their child's last birthday...
In a survey, 21 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $42 and standard deviation of $4. Find the margin of error at a 95% confidence level. Give your answer to two decimal places.
In a survey, 29 people were asked how much they spent on their child's last birthday...
In a survey, 29 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $43 and standard deviation of $20. Construct a confidence interval at a 95% confidence level. Give your answers to one decimal place. ±
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT