Hello kind people I will be handing A brain-list The Chang family is on their way home from a cross-country road trip. Their starting destination is 2,280 miles from their home. The Chang family can expect to decrease the distance from their home by 60 miles per hour.

Part A: Based on the information provided, write the function d(t) that represents the family's distance (in miles), d, from home after t hours of driving.

Part B: If rate at which the Chang family travels home continues at the same rate, determine the value of d(15) and describe what it means in reference to the situation.

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.