experiment - In statistics, a controlled and repeatable process
A binomial probability experient is conducted with the given parameters. Compute the probability ofA binomial probability experient is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n = 40, p = 0.05, x = 2
P(2) =
Answer is [B]0.2777[/B]. Using Excel formula of =BINOMDIST(2,40,0.05,FALSE) or using our [URL='http://www.mathcelebrity.combinomial.php?n=+40&p=0.05&k=2&t=+5&pl=P%28X+%3D+k%29']binomial probability calculator[/URL]
A professor wants to test all possible pairwise comparisons among three means. If we need to maintaiA professor wants to test all possible pairwise comparisons among three means. If we need to maintain an experiment-wise alpha of 0.05, what is the error rate per comparison after applying Bonferroni correction?
We are given:
[LIST]
[*]α = 0.05
[*]n = 3
[/LIST]
Bonferroni Correction = α/n
Bonferroni Correction = 0.05/3
Bonferroni Correction = [B]0.01666666667[/B]
A survey was conducted that asked 1007 people how many books they had read in the past year. ResultsA survey was conducted that asked 1007 people how many books they had read in the past year. Results indicated that x overbarequals11.3 books and sequals16.6 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval.
x bar = 11.3
s = 16.6
n = 1007
[URL='https://www.mathcelebrity.com/normconf.php?n=1007&xbar=11.3&stdev=16.6&conf=90&rdig=4&pl=Not+Sure']We use our confidence interval calculator[/URL] and get [B]10.4395 < u < 12.1605[/B].
[B][I]We interpret this as:
If we repeated experiments, the proportion of such intervals containing u would be 90%[/I][/B]
Bacteria in a petra dish doubles every hour. If there were 34 bacteria when the experiment began, wrBacteria in a petra dish doubles every hour. If there were 34 bacteria when the experiment began, write an equation to model this.
Let h be the number of hours since the experiment began. Our equation is:
[B]B(h) = 34(2^h)[/B]
Consider a probability model consisting of randomly drawing two colored balls from a jar containingConsider a probability model consisting of randomly drawing two colored balls from a jar containing 2 red and 1 blue balls. What is the Sample Space of this experiment? (assume B= blue and R=red)
The sample space is the list of all possible events
[LIST]
[*]RRB
[*]RBR
[*]BRR
[/LIST]
If an experiment is conducted with 5 conditions and 6 subjects in each condition, what are dfn and dIf an experiment is conducted with 5 conditions and 6 subjects in each condition, what are dfn and dfe?
a = Number of groups/conditions = 5
dfn = a - 1
don = 5 - 1
[B]dfn = 4[/B]
N = 5 * 6 = 30
dfe = N - a
dfe = 30 - 5
[B]dfe = 25[/B]
In a factory that manufactures tires, a machine responsible for molding the tire has a failure rateIn a factory that manufactures tires, a machine responsible for molding the tire has a failure rate of 0.2%. If 1,000 tires are produced in a day, of which 6 are faulty, what is the difference between the experimental probability and the theoretical probability?
Theoretical probability = Failure Rate * Tires
Theoretical probability = 0.002 * 1000
Theoretical probability = 2
The experimental probability was given as 6, so the difference is:
6 - 2 = [B]4[/B]
Percent ErrorFree Percent Error Calculator - Percentage error is the difference between an experimental measured value and a theoretical actual value
ProbabilityFree Probability Calculator - This lesson walks you through the basics of probability like the probability definition, events, outcomes, experiments, and probability postulates
You roll a standard, fair, 5-sided die and see what number you get. Find the sample space of this exYou roll a standard, fair, 5-sided die and see what number you get. Find the sample space of this experiment. Write your answer using { } symbols, and write your values in order with a comma but no spaces between
Sample Space:
[B]{1,2,3,4,5}[/B]