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A random sample of 100 runners who completed the 2012 Cherry Blossom 10 mile run yielded an average completion time of 95 minutes. A 95% confidence interval calculated based on this sample is 92 minutes to 98 minutes. Which of the following is false based on this confidence interval?
1 point
The margin of error of this confidence interval is 3 minutes.
We are 95% confident that the true average finishing time of all runners who completed the 2012 Cherry Blossom 10 mile run is between 92 minutes and 98 minutes.
Based on this 95% confidence interval, we would reject a null hypothesis stating that the true average finishing time of all runners who completed the 2012 Cherry Blossom 10 mile run is 90 minutes.
95% of the time the true average finishing time of all runners who completed the 2012 Cherry Blossom 10 mile run is between 92 minutes and 98 minutes.
Three coins are tossed. Let T be the number of tails that occur.
a. Construct the probability distribution for the random variable T.
b. Construct the probability histogram
In a bakery, 3 cakes of fresh cream pineapple, 4 cakes of chocolate, 2 cakes of buttercream strawberryand 1 cake without cream are available. If two customers purchase one cake each, such that first cakeis replaced before the sale of the second then, the probability that both the cakes sold would be ofchocolate flavor is?
Three messages A, B, C have probabilities 0.4, 0.3 and 0.3 respectively, of their
occurrences. If total 100 massages are sent out, calculate the total information (total)
carried by them
A lottery has a very large number of tickets, one in every 500 at which entitles the purchase to prize. Calculate the minimum number of tickets the agent must sell to have 90% chance of selling at least one prize winning ticket.
If the probabilities are 0.87, 0.36, and 0.29 that, while under warranty, a new car will require repairs in the engine, drive train, or both, what is the probability that a car will require one or the other or both kinds of repairs under the warranty?
How to get sample size of 4 from a population of 6? thanks
Two card are drawn from a deck. How many possible values can each of the following variables take?
1. Sum of the numbers on the card
2. Number of times both cards are black
3. Number of times both cards 7s
4. Number of times the first card is six and the second card is red
5. Number of times the first card is face card and the second card is not a face card.
15 percent of the workers in grade A,30 percent workers in grade B and 55 percent of the workers in grade C, if you receive amount less than 25000 you are in grade C,if you receive more than 56000 you are in grade A,find the mean and standard deviation of the income distribution assuming it is normally distributed
Two card are drawn from a deck. How many possible values can each of the following variables take?
1. Sum of the numbers on the card
2. Number of times both cards are black
3. Number of times both cards 7s
4. Number of times the first card is six and the second card is red
5. Number of times the first card is face card and the second card is not a face card.
