Statistics and Probability Answers

Identify the circumstances in which the median rather than the mean is the preferred measure of central tendency

Determine the sample size needed to reject Ho if the ratio is 3 times the hypothesized value of 2 variances, alpha = 0.05, beta = 0.1, R = 3

You are given a bag with 18 marbles, which you are not allowed to see it’s content. In the bag, there is at least one red, at least one blue, and at least one white. Knowing only this information, you are tasked to give each child a bag with a different collection of marbles, how many children can you guarantee to prepare bags for ? Explain with detail reasoning.

DISCUSS ANY ONE CONTINUOUS PROBABILITY DISTRIBUTION?

Let X be a random variable having normal distribution with mean 48 and standard deviation 10.Then find (X≤41).

Rhodium
126,4
133.3
131.3
134.2
132.6
135.7
132.5
131.2
133.8
133.3
132.9
133.0
132.1
133.3
133.5
131.5
133.0
131.1
133.5
133.5
131.1
132.4
131.4
133.4
132.3
131.1
131.6
131.2
133.5
132.7
131.9
132.6
131.1
133.0
132.9
132.7
132.2
131.1
132.8
134.1
find the mean,10% and 20% trimmed mean and median and then compare

There are four teams, a,b,c,d playing in a tournament. Each team must play each of the others exactly once. Therefore each team will play exactly 3 games. The winner of the tournament will be determined by whomever has the best ending record. In the event of ties, the following two tiebreakers will be used. 1 if exactly two teams have tied for the best record, ie they both went 2-1 then whoever won their head to head match-up will be declared the winner. 2 if exactly three teams have tied for the best record ie they all went 2-1 then the tournament is declared to end in a draw. there is no winner. team a has a .7 chance of beating team b, team a has a .5 chance of beating team c, team a has a .2 chance of beating team d, team b has a .4 chance of beating team c , team b has a .7 chance of beating team d, team c has a .5 chance of beating team d.
I have 7 questions using this information.

You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone. To determine whether this difference is significant, you collect data on the workout preferences for a sample of men and women at your gym. The data follows.
Males Females
Together 5 8
Alone 7 6

What statistical test should be used to analyze the data?
Identify H0 and Ha for this study
Conduct the appropriate analysis.
Should H0 be rejected? What should the researcher conclude?

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of grams of fat per pound, with a standard deviation of grams of fat per pound. A random sample of farm-raised trout is selected. The mean fat content for the sample is grams per pound. Find the probability of observing a sample mean of grams of fat per pound or less in a random sample of farm-raised trout.
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

let's get some real life answers. in dog racing there are 8 dogs in each race. to cash a quinela bet you need to pick 2 dogs and have them finish first and second (order not important). if you were to pick 3 of the 8 dogs, what is the probability that two of them will finish first and second?