When I sit and watch my students take exams, I often think to myself "I wonder if students with bright calculators are impacted by the pretty colors." This leads me to wonder if there is a difference in the exam scores of students with colorful calculators versus the exam scores of students with plain black calculators. To investigate further, I took a sample of past students. There were 49 students with colorful calculators with a mean exam score of 84 and a corresponding standard deviation of 4.7. There were 38 students with plain black calculators with a mean exam score of 87 and a corresponding standard deviation of 5.7. Is there sufficient evidence to suggest the mean exam scores of my STA 215 students with colorful calculators are different than the mean scores of my STA 215 students with plain black calculators?

(Calculate the difference as Black - Colorful.)

What is the value of the test statistic, and what is the p value for that test statistic? Give your answer to 2 decimal places.

Students in a representative sample of 65 first-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 65 first-year students in this study, the mean score on the procrastination scale was 36.9 and the standard deviation was 6.46. (a) Construct a 95% confidence interval estimate of μ, the mean procrastination scale for first-year students at this college. (Round your answers to three decimal places.) , (b) Based on your interval, is 40 a plausible value for the population mean score? Yes No What does this imply about the population of first-year students? This implies that students at this university never have high levels of procrastination. This implies that on average, students at this university do not have high levels of procrastination. This implies that students at this university sometimes have high levels of procrastination. This implies that on average, students at this university do have high levels of procrastination. This implies that students at this university always have high levels of procrastination.

3. A national study has shown that 44% of college students engage in binge drinking (5 drinks at one sitting for men, 4 for women). Assume that the 53 students taking Stat 216 this summer represent a random sample of college students in the US.

(a) Define the parameter of interest and what symbol you would use to represent it.

(b) Show whether or not the conditions are met for us to apply the CLT here.

(c) Assuming the conditions are met, what does the Central Limit Theorem say about the sampling distribution of the mean proportion of students that binge drink?

(d) Sketch the sampling distribution of the proportion of 53 college students that engage in binge drinking. (i.e. if we repeatedly sample 53 college students, how would the proportion of binge drinkers be distributed?

(e) What is the probability that less than 30% of students taking Stat 216 this summer engage in binge drinking?

(f) If instead Stat 216 had only 32 students, would it be more or less likely that less than30% of Stat 216 students would engage in binge drinking than for 53 students? Explain

Find the volume V of the described solid S. The base of S is the triangular region with vertices (0, 0), (2, 0), and (0, 2). Cross-sections perpendicular to the x−axis are squares.

V = ?

Let u be the magnitude 5 directed towards the north of v of magnitude 3 directed 20°W of N. Specify the vectors: uv, vu, uu, u(v + u), and -2u(7v).

You need 700. mL of a 5.0 % (m/v) glucose solution. If you have a 29 % (m/v) glucose solution on hand, how many milliliters of this solution do you need?

The following 32-bit binary word written in hexadecimal format represents a single RISC-V assembly instruction. What is the RISC-V instruction format and specific assembly language instruction?

0xfe810113

The following 32-bit binary word written in hexadecimal format represents a single RISC-V assembly instruction. What is the RISC-V instruction format and specific assembly language instruction?

0x40158a33

Somebody has a theory predicting that when a laser device with frequency f moves towards an observer at speed V, the observer measures a frequency f’= f/(1-V/c), while if the device is at rest and the observer moves towards it, he measures f’=f(1+V/c). In both cases, f’>f, which seems reasonable.

Using the Special theory of Relativity heuristically, discuss whether this theory can be correct or not.