# To estimate the average salary among people in a certain district, a marketing team obtains a simple random sample of 100 people from that district. The team sets up the following approximate 90% confidence interval, using a normal estimate, for the unknown average salary (in dollars annually) of the district: [41500,49750] __________ Approximately 90% of the people in the district have a salary in the interval __________ The procedure used to construct the interval works approximately 90% of

1 answer

###### Question:

To estimate the average salary among people in a certain district, a marketing team obtains a simple random sample of 100 people from that district. The team sets up the following approximate 90% confidence interval, using a normal estimate, for the unknown average salary (in dollars annually) of the district:

[41500,49750]

__________ Approximately 90% of the people in the district have a salary in the interval

__________ The procedure used to construct the interval works approximately 90% of the time.

_________For the normal estimate of 90% confidence to apply, the salary distribution in the population must be approximately normal.

[41500,49750]

__________ Approximately 90% of the people in the district have a salary in the interval

__________ The procedure used to construct the interval works approximately 90% of the time.

_________For the normal estimate of 90% confidence to apply, the salary distribution in the population must be approximately normal.

## Answers

Answer:The interpretation is that we are 90% sure that the true average salary of the district is in this interval.Step-by-step explanation:x% confidence interval:A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.In this question:The 90% confidence interval for the average salary of the district is [41500,49750].This means that we are 90% sure that the true average salary of the district is in this interval.

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