You receive an inheritance of $12,500, and you place the full amount into a bank account. the bank pays a simple interest rate of 7.5% per year. how much interest have you earned after one year? give your answer in dollars and cents to the nearest cent. do not include commas or the dollar sign in your answer. for example, if your answer is $1,234.56 enter 1234.56.

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.