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Without knowing the data which is being sampled, it is impossible to answer this other than by saying that the probability is between 0 and 1 inclusive.

Consider a company. If you sample the annual pay of the employees, any mean will be greater than 18 as everyone will be taking home more than £18 per year, so the probability is 1.

Consider a school. If you sample the lengths of feet of the pupils, any mean will be less than 18 as all the feet are less than 18 inches long, so the probability is 0.

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Q: What is the probability of observing a sample mean of 18 or more from a sample size of 35?
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How do you calculate the probability of observing a sample proportion of .32 or more?

You need a null hypothesis first. You then calculate the probability of the observation under the conditions specified by the null hypothesis.


Why did Mendel study such a large sample of pea plants to determine the probability of inheritance?

The more samples you use, the closer your results will match probability.


Why was it important for Mendel to study such a large sample pea plants to determine the probability of inheritance?

Answer D- A higher sample size gives more accurate results- APEX LEARNING


What is the probability that exactly 2 have some kind of defect?

The probability is determined by the binomial distribution. We consider p = probability of defect, q = probability of not defect, n = sample size, and x= number of defects in sample, in this case x=2. We calculate the probability as P(X = x) = n!/[(n-x)! x!] pxqn-x If sample size = 10 and p = 0.1 then: P(x= 2) = 10!/(8!x2!)(0.1)2(0.9)8 = 0.1937 You can find more about the binomial distribution under Wikipedia. It is important also to note the assumptions when using this distribution. It must be a random sample and the probability of defects is known.


Why is sample size important in determining probability?

The bigger the sample size the more accurate the results will be. For example, if you roll a 6 sided die and track the results to get the probability of rolling a six. If you only roll 6 times, then you may not even get one 6 or you could get a few. A small sample size means you won't get very reliable results.

Related questions

How do you calculate the probability of observing a sample proportion of .32 or more?

You need a null hypothesis first. You then calculate the probability of the observation under the conditions specified by the null hypothesis.


What is the probability of observing more than 35 tails in 50 flips?

It is 0.999531889


Steps for how to do a z-score problem in statistics?

If you have a variable X distributed with mean m and standard deviation s, then the z-score is (x - m)/s. If X is normally distributed, or is the mean of a random sample then Z has a Standard Normal distribution: that is, a Gaussian distribution with mean 0 and variance 1. The probability density function of Z is tabulated so that you can check the probability of observing a value as much or more extreme.


Why did Mendel study such a large sample of pea plants to determine the probability of inheritance?

The more samples you use, the closer your results will match probability.


Why was it important for Mendel such a large sample of peas plants to determined the probability of inheritance?

Answer D- A higher sample size gives more accurate results- APEX LEARNING


Why was it important for Mendel to study such a large sample pea plants to determine the probability of inheritance?

Answer D- A higher sample size gives more accurate results- APEX LEARNING


Why was it important to Mendel to study such a large sample of pea plants to determine the probability of inheritance?

Answer D- A higher sample size gives more accurate results- APEX LEARNING


What is the probability that exactly 2 have some kind of defect?

The probability is determined by the binomial distribution. We consider p = probability of defect, q = probability of not defect, n = sample size, and x= number of defects in sample, in this case x=2. We calculate the probability as P(X = x) = n!/[(n-x)! x!] pxqn-x If sample size = 10 and p = 0.1 then: P(x= 2) = 10!/(8!x2!)(0.1)2(0.9)8 = 0.1937 You can find more about the binomial distribution under Wikipedia. It is important also to note the assumptions when using this distribution. It must be a random sample and the probability of defects is known.


Find a p-value given z and the population mean Find the P-value in a test of the claim that a population mean is equal to 100 given that the test statistic is z equals 1.50?

The probability of observing a z value equal to or more extreme than 1.50 is 0.1336


How did Mendel's large sample size make his results more reliable?

it made his actual results approach the results predicted by probability.


Why is sample size important in determining probability?

The bigger the sample size the more accurate the results will be. For example, if you roll a 6 sided die and track the results to get the probability of rolling a six. If you only roll 6 times, then you may not even get one 6 or you could get a few. A small sample size means you won't get very reliable results.


What is the probability for choosing a red marble?

More information is required. Probability by definition is the proportion of a part, called a sample, to the whole, called a population. Thus in this question, we are given the sample only and without the population, it is impossible to calculate the probability. We need to know the size of the population. As a guide, supposing there are 8 red marbles in a jar containing 40 marbles, then the probability of choosing red is 8/40 or 1: 0.2. There is 20 per cent probability of choosing red.