Questions: Question 10 Part 1 of 3 A local bank with 1200 accounts needs information concerning the savings account balances of its customers. A random sample of 38 accounts was checked. The mean balance was 823.13 with a standard deviation of 282.08. The bank manager also noticed that some accounts had very large balances. Are the conditions for calculating a confidence interval for a mean satisfied? Select all that apply. The sample is not random nor from a randomized experiment. The population is skewed right and n<30. The observations are independent because n ≤ 0.05 N. The observations are not independent because n>0.05 N. The conditions for the confidence interval are not satisfied. The population is normal and n ≥ 30. The population is skewed right and n ≥ 30. The sample is random or this is a randomized experiment. The population is normal and n<30. The conditions for the confidence interval for the mean are satisfied.

Transcript text: Question 10 Part 1 of 3 A local bank with 1200 accounts needs information concerning the savings account balances of its customers. A random sample of 38 accounts was checked. The mean balance was $\$ 823.13$ with a standard deviation of $\$ 282: 08$. The bank manager also noticed that some accounts had very large balances. Are the conditions for calculating a confidence interval for a mean satisfied? Select all that apply. $\square$ The sample is not random nor from a randomized experiment. The population is skewed right and $n<30$. The observations are independent because $n \leq 0.05 N$. $\square$ The observations are not independent because $n>0.05 N$. The conditions for the confidence interval are not satisfied. The population is normal and $n \geq 30$. The population is skewed right and $n \geq 30$. $\square$ The sample is random or this is a randomized experiment. The population is normal and $n<30$. $\square$ The conditions for the confidence interval for the mean are satisfied.