Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and companies with poor labor practices. some examples of "good," socially conscious companies are johnson and johnson, dell computers, bank of america, and home depot. the question is, are such stocks overpriced? one measure of value is the p/e, or price-to-earnings ratio. high p/e ratios may indicate a stock is overpriced. for the s& p stock index of all major stocks, the mean p/e ratio is μ = 19.4. a random sample of 36 "socially conscious" stocks gave a p/e ratio sample mean of x = 18.4, with sample standard deviation s = 4.0. does this indicate that the mean p/e ratio of all socially conscious stocks is different (either way) from the mean p/e ratio of the s& p stock index? use α = 0.01.

(a) what is the level of significance?

(b)what is the value of the sample test statistic? (round your answer to three decimal places.)

(c) find the p-value. (round your answer to four decimal places.)

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. there are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year.how many times does the heart beat in one year? write your answer in scientific notation, and round to one decimal place.

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

Last week jason walked 3 1/4 miles each day for 3 days and 4 5/8 miles each day for 4 days. about how many miles did jason walk last week?