In the following regression (n = 91), which coefficients differ from zero in a two-tailed test at α = .05? Confidence Interval Variables Coefficients 95% lower 95% upper Intercept 9.8080 − 23.9968 43.6129 NumCyl − 1.6804 − 2.8260 − 0.5349 HPMax − 0.0369 − 0.0648 − 0.0090 ManTran 0.2868 − 2.2604 2.8341 Length 0.1109 − 0.0087 0.2305 Wheelbase − 0.0701 − 0.4111 0.2709 Width 0.4079 − 0.1735 0.9893 RearStRm − 0.0085 − 0.4100 0.3931 Weight − 0.0025 − 0.0064 0.0014 Domestic − 1.2291 − 3.4955 1.0374

Choose the linear inequality that describes the graph. the gray area represents the shaded region. a: y ≤ –4x – 2 b: y > –4x – 2 c: y ≥ –4x – 2 d: y < 4x – 2

At the "no mutants allowed" country farm, every sheep has 4 legs, every chicken has two legs, and all animals have only 1 head. asked to count how many sheep and chicken are in the fields, a farm boy reports back that there are 140 feet and 50 heads. how many sheep and chicken are there? there are sheep and chicken at the farm.

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)