The mean weekly earnings of a sample of 30 construction workers in a city in Texas was $759, with a standard deviation of $73. In the state of Texas, the mean weekly earnings for construction is $728. a)Construct a 95% confidence interval for the sample (T-interval)

b) Explain what the confidence interval means

c) Is it reasonable to say that the workers in the city are getting paid more than the average worker in Texas? Carefully explain your reasoning

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.