Ten engineering schools in the US were surveyed, the sample contains 250 electrical engineers, 80 being women; 175 chemical engineers, 40 being women. Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering. Select one: Oa. (0.02, 0.16) Ob. (0.01,0.17] Oc (0.04, 0.14] Od. (0.03, 0.15]

The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows. Catfish Bass Bluegill Pike 118 93 210 79 n USE SALT In the 5-year interval, did the distribution of fish change at the 0.05 level? (a) What is the level of significance? State the null and alternate hypotheses. O Ho: The distributions are different. H, : The distributions are the same. Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) Are all the expected frequencies greater than 5? Yes O No What sampling distribution will…

A sample of 12 male and 12 female students were surveyed and the amount spent on food last week were recorded. The results are summarized in the table below. Test for the hypothesis that the weekly amount spent on food of male and female students is the same, at a=0.10. Male Female 623 685 537 629 613 517 588 580 651 658 688 582 526 614 579 528 814 655 878 804 660 549 722 617   a. What are the null and alternative hypotheses?b. What is the critical value? (4 decimal points)c. What is the test statistic? (4 decimal points)e. Reject or accept null hypothesis?

The 25th and 75th percentile points (without interpolation) are?