You want to estimate how much a typical Georgia family is spending on groceries weekly, now that DoorDash and UberEats have become more popular and made it easier to get restaurant food at home. You take a random sample of 51 families in Clayton County, finding a mean grocery bill of $142.88, with a standard deviation of $43.08. a) Which type of interval should you use? (z-interval or t-interval)? A b) You want to estimate the mean amount Georgia families are spending on groceries (weekly), with 90% confidence. What critical value should you use? (give to 3 decimal places) c) Estimate the mean amount Georgia families are spending weekly on groceries, with 90% confidence. The interval is (round numbers to 2 decimal places):

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You want to estimate how much a typical Georgia family is spending on groceries
weekly, now that DoorDash and UberEats have become more popular and made it
easier to get restaurant food at home. You take a random sample of 51 families in
Clayton County, finding a mean grocery bill of $142.88, with a standard deviation of
$43.08.
a) Which type of interval should you use? (z-interval or t-interval)?
A
b) You want to estimate the mean amount Georgia families are spending on groceries
(weekly), with 90% confidence. What critical value should you use? (give to 3 decimal
places)
c) Estimate the mean amount Georgia families are spending weekly on groceries,
with 90% confidence. The interval is (round numbers to 2 decimal places):
A < μ <
<μ
no
Transcribed Image Text:You want to estimate how much a typical Georgia family is spending on groceries weekly, now that DoorDash and UberEats have become more popular and made it easier to get restaurant food at home. You take a random sample of 51 families in Clayton County, finding a mean grocery bill of $142.88, with a standard deviation of $43.08. a) Which type of interval should you use? (z-interval or t-interval)? A b) You want to estimate the mean amount Georgia families are spending on groceries (weekly), with 90% confidence. What critical value should you use? (give to 3 decimal places) c) Estimate the mean amount Georgia families are spending weekly on groceries, with 90% confidence. The interval is (round numbers to 2 decimal places): A < μ < <μ no
c) Estimate the mean amount Georgia families are spending weekly on groceries,
with 90% confidence. The interval is (round numbers to 2 decimal places):
A < μ <
d) Interpret your interval in simple language in context of the problem. (your answer
should be longer than the text box, just keep typing)
A/
e) Should you trust the results of your confidence interval? Explain!! (hint: are all the
necessary conditions for inference met?)
A/
A/
A/
f) What would happen to your interval if you had calculated a 95% confidence
Enterval instead of 90%? Would it get wider, narrower, or stay the same?
Transcribed Image Text:c) Estimate the mean amount Georgia families are spending weekly on groceries, with 90% confidence. The interval is (round numbers to 2 decimal places): A < μ < d) Interpret your interval in simple language in context of the problem. (your answer should be longer than the text box, just keep typing) A/ e) Should you trust the results of your confidence interval? Explain!! (hint: are all the necessary conditions for inference met?) A/ A/ A/ f) What would happen to your interval if you had calculated a 95% confidence Enterval instead of 90%? Would it get wider, narrower, or stay the same?
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