Use the premises and conclusion to answer the questions. premises: if a triangle has an angle with a measure more than 90°, then the triangle is an obtuse triangle. the measure of an angle in △abc is 110°. conclusion: △abc is an obtuse triangle. is the argument valid? why or why not? the argument is valid by the law of syllogism. the argument is not valid because the premises are not true. the argument is valid by the law of detachment. the argument is not valid because the conclusion does not follow from the premises.

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.