Stats Help for College-level Students

confidence level of 80% what does that transcribe to? e.g. 90% confidence level is = Za/2 of 1.960

The makers of a soft drink want to identify the average age of its consumers. A sample of 16 consumers is taken. The average age in the sample was 22.5years with a standard deviation of 5 years. construct a 95% confidence level 22.5+ 1.96 5/ square root of 16 = 1.96 x 5/4 = 1.96 x 1.25 = 2.45 now do the same thing with 8 ...continues

Permutations: The maximum number of distinct arrangements.

How many distinct ways are there to arrange the letters in the word PARALLEL so that (a)the "P" and the "R" occur next to each other; (b)the "P" and the "R" do not occur adjacent to each other; (c)there are no consecutive L's

statistics

A fair die is rolled until win or loss occurs: For k=1 to 5: if a 6 occurs on the kth roll you win N dollars and game ends; if a number5: if a 6 occurs on the kth roll you win N dollars and the game ends; if a number<5 occurs you lose $10 and the gam ...continues

statistics

A bowl contains R red and W white chips. Suppose N chips are drawn without replacement from the bowl. (a) what is the expected number of red chips among the N drawn? The expected number of white chips? (b) Justify your answers from part(a)

statistics

Suppose a sequence of independent trials is performed where each trial results in either success or failure. Suppose X=the number of failures before the first success, with p=probability of success on any one trial. (a) Find the expected value of X. Be sure to show in detail how you got your answer. (b) Carefully interpret ...continues

Determining the probability from the given situation.

A certain company relies heavily on phone orders. Suppose past records show that R% of all incoming phone calls to this company are orders from customers. At least how big must R be for you to be at least 90% sure that the first phone order of the day will occur on or before the tenth incoming call of the day?

statistics

Scores on a college admissions exam are normally distributed with mean score 642 and standard deviation 76. The college wants to set the passing score so that only the best 10% of all applicants pass. what is the passing score?

Determining the probability using mean and standard deviation from the given situation.

The weights of adult Americans are normal with a mean of 164 lbs. and a standard deviation of 24 lbs. Two random samples are taken with 10 adult Americans in each sample. (a) What is the probability that both samples have a mean greater than 180 lbs.? (b) What is the probability that, when the two samples are put together, ...continues

Statistics

a. What is the implied population? b. What is the sample? 2. Draw a bar chart/graph for the following data 3. Find the mean, median, mode and standard deviation of the data from problem 2. 4. Find the probabilities for the random variable x 5. Find the mean, mode and standard deviation for the data in proble ...continues

Determining the probability from the given Colgate story.

Colgate-Palmolive Makes a "Total" Effort In the mid-1990s, Colgate-Palmolive had developed a new toothpaste for the U.S. market, Colgate Total, with an antibacterial ingredient that was already being successfully sold overseas. However, the word antibacterial was not allowed for such products by the Food and Drug Administrat ...continues