A savings and loan association needs information concerning the checking account balances of its local customers. A random sample of 14 accounts was checked and yielded a mean balance of $664.14 and a standard deviation of $297.29. Find the following. a) Assuming that these 14 accounts can be considered a random sample, construct a 95% confidence interval for the true mean checking account balance for local customers. (Assume that the normal probability plot doesn't exhibit major departure from the normality assumption.) b) Interpret in words as it pertains to this situation the confidence interval found in part a). c) If you lower the confidence level to 90% would you get a more precise estimate or a less precise estimate? Explain.

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6. A savings and loan association needs information concerning the checking account balances
of its local customers. A random sample of 14 accounts was checked and yielded a mean
balance of $664.14 and a standard deviation of $297.29. Find the following.
a) Assuming that these 14 accounts can be considered a random sample, construct a 95%
confidence interval for the true mean checking account balance for local customers.
(Assume that the normal probability plot doesn’t exhibit major departure from the
normality assumption.)
b) Interpret in words as it pertains to this situation the confidence interval found in part a).
c) If you lower the confidence level to 90% would you get a more precise estimate or a less
precise estimate? Explain.
Transcribed Image Text:6. A savings and loan association needs information concerning the checking account balances of its local customers. A random sample of 14 accounts was checked and yielded a mean balance of $664.14 and a standard deviation of $297.29. Find the following. a) Assuming that these 14 accounts can be considered a random sample, construct a 95% confidence interval for the true mean checking account balance for local customers. (Assume that the normal probability plot doesn’t exhibit major departure from the normality assumption.) b) Interpret in words as it pertains to this situation the confidence interval found in part a). c) If you lower the confidence level to 90% would you get a more precise estimate or a less precise estimate? Explain.
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