A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of 118 homeowners selected from this area showed that they pay an average of $1574 per month for their mortgages. The population standard deviation of such mortgages is $221. a. Find a 95% confidence interval for the mean amount of mortgage paid per month by all homeowners in this area. Round your answers to two decimal places. to i dollars b. Suppose the confidence interval obtained in part a is too wide. Select all of the ways the width of this interval can be reduced. O Increasing the sample size O Lowering the sample size O Lowering the confidence level O Increasing the confidence level

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A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of 118
homeowners selected from this area showed that they pay an average of $1574 per month for their mortgages. The population
standard deviation of such mortgages is $221.
a. Find a 95% confidence interval for the mean amount of mortgage paid per month by all homeowners in this area.
Round your answers to two decimal places.
i
to
i
dollars
b. Suppose the confidence interval obtained in part a is too wide. Select all of the ways the width of this interval can be reduced.
O Increasing the sample size
O Lowering the sample size
O Lowering the confidence level
O Increasing the confidence level
Transcribed Image Text:A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of 118 homeowners selected from this area showed that they pay an average of $1574 per month for their mortgages. The population standard deviation of such mortgages is $221. a. Find a 95% confidence interval for the mean amount of mortgage paid per month by all homeowners in this area. Round your answers to two decimal places. i to i dollars b. Suppose the confidence interval obtained in part a is too wide. Select all of the ways the width of this interval can be reduced. O Increasing the sample size O Lowering the sample size O Lowering the confidence level O Increasing the confidence level
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