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1. On a national standardized test with a normal distribution of scores, a mean of 50, and a standard deviation of 3.2, a student's score is 1.2 standard deviations above the mean.
What is the students score?
2. A national achievement test has a normal distribution, a mean of 1000, and a standard deviation of 100. What percent, to the nearest whole percent, of the students taking the test scored above 800?
3. Which of the following statements summarizes the Law of Large Numbers?A. The random sample mean will converge in probability to the distribution mean if the sample is sufficiently large.B. The random sample mean will diverge in probability to the distribution mean if the sample is sufficiently large.C. The random sample variance will converge in probability to the distribution mean if the sample is sufficient large.D. The random sample variance will converge in probability to the distribution variance if the sample is sufficiently large.E. The random sample variance will diverge in probability to the distribution mean if the sample is sufficiently large.
4. An educator is conducting a survey of students at the educator's university. The educator mails a survey to a random sample of the students, but only 20% of the surveys are returned.What could the educator do to compensate for the poor return rate? (select 3)a. offer some valuable reward for completing the surveyb. send reminders or make follow-up calls to non-respondentsc. adjust the findings to compensate for any sample imbalance.d. use each survey response twice in the data analysise. find substitute subjects in classes taught by the educatorf. change sample size equal to the number of respondents
Parts being manufactured at a plant are supposed to weigh 40 grams. Suppose the distribution of weights has a Normal distribution with mean 40 grams and a standard deviation 2 grams. Quality control inspectors randomly select 16 parts, weigh each,..
E) Which is more useful to someone planning to rent an apartment, the confidence interval or the significance test? Why?
The sentence below is a theorem of predicate logic. Show that it is by deriving it from the null set of premises. If any "individual" in the domain has a property, then every individual has it. I need help explaining this and with the derivation.
use a combinatorial proof to show the summation of k=0 to the P elements- (n/p) (m/[p-k])=([n+m]/p)
Find a cubic function y=ax^3+bx^2+cx+d whose graph has horizontal tangents at the points (-2,6) and (2,0).
Which of the following variable(s) are both quantitative and continuous?
What year is it in Japan right now. This is a Math question and I believe it has something to do with with change in Calendar systems and the fact Japan drops a month.
Due to a manufacturing error, three cans of diet soda were accidentally filled with regular soda and placed into a 12-pack. Two cans are randomly selected from the case.
You have a choice of five appetizers, ten entrees, three beverages, and six desserts. How many possible complete dinners are possible?
A 292 foot television cable is to be cut into four pieces. Find the length of each piece if each successive piece is 2 feet longer than the previous one.
A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 420 yd of fencing is available, find the largest total area that can be enclosed.
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
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