The loan manager for State Bank and Trust has claimed that the mean loan balance on outstanding loans at the bank is over $14,500.To test this at a significance level of 0.05,a random sample of n = 100 loan accounts is selected.Assuming that the population standard deviation is known to be $3,000,the null and alternative hypotheses to be tested are: 
.
Definitions:
Standard Deviation
A measure of the dispersion or variability of a set of values, indicating how spread out the values are from the mean.
Standard Deviation
A statistical measure that quantifies the dispersion or variability of a data set around its mean, indicating how spread out the data points are.
Mean Weight
Mean weight refers to the average weight calculated by dividing the sum of all weights in a set by the number of weights.
Net Income
The total earnings or profit of a company after subtracting all expenses, taxes, and costs.
Q33: As a step in establishing its rates,an
Q39: There is interest at the American Savings
Q41: Service time for customers at a drive-through
Q49: Employees at a large computer company earn
Q54: Suppose the mean balance of checking accounts
Q68: Typically,a continuous random variable is one whose
Q71: It is believed that the SAT scores
Q90: Which of the following is not a
Q99: In an application to estimate the mean
Q111: One of the factors that a company