A pool company has learned​ that, by pricing a newly released noodle at ​$4​, sales will reach 20,000 noodles per day during the summer. Raising the price to ​$7 will cause the sales to fall to 17,000 noodles per day.​ [Hint: The line must pass through ​(4​,20000​) and ​(7​,17000​).] a. Assume that the relationship between sales price and number of noodles sold is linear and write an equation describing this relationship.

b. Predict the daily sales of noodles if the price is ​$.50.

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.