what the requirements are to assume that the sampling distribution of sample means does have a normal distribution. Then explain the circumstances where the sampling distribution of sample means is not normal.
Q: Illustrate the relationship between the sampling distribution of p and the normal distribution?
A: It is known that, the conservative law of thumb for the sampling distribution of sample proportion…
Q: The average final exam score for the statistics course is 75%. A professor wants to see if the…
A: Solution: Given information: n= 12 Sample size μ= 75 Population mean ∑x =898x = ∑x n=89812=74.8333…
Q: Beyond representative sampling, what assumptions are needed to satisfy the requirements of a…
A: The correct answer is, the number of successes and failures should both at least 5 and the number of…
Q: If the sample size is 81 and the population standard deviation is 18, then the standard deviation of…
A: According to the given information, we have Sample size = 81 Population standard deviation = 18
Q: For a strongly skewed right distribution, how are the mean and median different ?
A: It is an important part of statistics. It is widely used.
Q: ive one property of normal distribution and then explain it in you own words
A:
Q: A distribution is biased to the left (negative bias) if the mean and median are to the right of…
A: For the distribution biased to left the data are concentrated on right side. For this distribution…
Q: The “best estimate” of the mean of a parent distribution, using a data set consisting of N samples,…
A: The given statement is, The “best estimate” of the mean of a parent distribution, using a data set…
Q: For the following situation, find the mean and standard deviation of the population. List all…
A:
Q: The mean of the sampling distribution of Ỹ is always equal to the mean of the population. True O…
A: We have to determine which statement is true for given situation.
Q: a) What are some of the distinguishing properties of a normal Distribution? Discuss b) The sampling…
A: • The answers to the above questions are as follows :-
Q: A. we need to account for the degrees of freedom B. it's easier than the Z interval approach C.…
A: T interval is used as alternative method for estimating the interval for sample mean.
Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…
A: L
Q: If x follows a distribution not known to be normal, then to assume that the distribution of the…
A: Solution: From the given information, the distribution of X is not known.
Q: The average final exam score for the statistics course is 43%. A professor wants to see if the…
A: In order to determine whether the mean score of students who were given the colored pen is greater…
Q: The standard deviation of a sampling distribution is smaller than the standard deviation of the…
A: The comparison of sd of sample to the sd of the population is as follows:
Q: Three different statistics are being considered for estimating a population characteristic. The…
A: Based on the information given, the recommended statistic would be Statistic III. This is because…
Q: hree different statistics are being considered for estimating a population characteristic. The…
A:
Q: The mean of the sampling distribution of the sample mean is smaller than the mean of the…
A: According to Central limit theorem, when repeated sample of size n is drawn from a population with…
Q: If a sample is randomly collected, we can be assured that the data follows a normal distribution.…
A: We know that ; Any randomly collected data follows normal distribution if and only if data set must…
Q: 6. How does skewness impact the shape of a distribution?
A:
Q: Suppose you know that the x distribution has a mean 75 and standard deviation 12 but you have no…
A: It is given that, x distribution has a mean 75 and standard deviation 12 but you have no information…
Q: When comparing two distribution, it’s okay to use different measures of spread as long as the…
A:
Q: For a normal distribution, the mean is equal to the median. True False
A: The Normal distribution is Symmetric distribution. So, Mean = Median = Mode.
Q: Roll 1 Die 1000 times by pressing the "Roll 100 Sets" button ten times. Then do the same for Roll 3…
A: Given Roll 3 and 12 die 1000 times by pressing the "roll 100 sets" button 10 times.
Q: In your own words, describe the difference between the z and t distribution and when we use one…
A: Ans: We perform one sample t- test when we want to compare a sample mean with the population mean.…
Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…
A: We have given that, Let X be the random variable from binomial distribution with probability (p) =…
Q: 1. Sampling Distribution. Distinguish between a distribution of sample means and a distribution of…
A: We know that- According to the central limit theorem, if the sample size is greater than 30 then the…
Q: The average final exam score for the statistics course is 78%. A professor wants to see if the…
A:
Q: It is generally believed that 49 percent of all college students complete their college careers.…
A:
Q: Develop a basic understanding of the properties of a sampling distribution based on the properties…
A: The properties of sampling distribution are:
Q: investigator recommended taking a larger sample. What would the new sampling distribution look like…
A: Note: Hey there! Thank you for the question. The question mentions "sampling distribution", but does…
Q: A phone company finds that the mean data usage for its residential customers is 10GBs, and the…
A: The phone company finds that the mean data usage for its residential customer is 10 GBs.
Q: II. Consider the data from two samples displayed in the two histograms: Sample A Sample B 30 30 25…
A:
what the requirements are to assume that the sampling distribution of sample
Then explain the circumstances where the sampling distribution of sample means is not normal.
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- The number of calls arriving at a telephone switchboard of a industry has an average of 120 calls per hour. a) What is the probability that between 1 and 5 calls arrive inclusive in a period of 1 minute? b) If 3 one-minute periods are observed, not overlapping, What is the probability that between 1 and 5 calls arrive inclusive in these periods?Suppose you know the population mean and are interested in seeing how a sample average compares to this mean. You take some samples of size 10 and other samples of size 35. How will the sampling distribution of the means be different for the larger size samples compared to the sampling distribution of the means for the smaller size samples?The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 100, 63, 94, 97, 78, 81, 78, 82, 90, 82, 90, 81 What can be concluded at the the αα = 0.01 level of significance level of significance? The null and alternative hypotheses would be: H0: the mean is <,>,=, or not equal to also provide the number__?__ H 1: the mean is <,>,=, or not equal to also provide the number __?__ The test statistic t = __?__ (please show your answer to 3 decimal places.) 2. The p-value = __?__ (Please show your answer to 4 decimal places.)
- Sadie deals 5 cards from a standard deck of 52 cards. She would like to deal as many spades as possible. Is it reasonable to approximate this distribution with a normal distribution? Give a reason.When the mean and median are equal, what can be said about the shape of the distribution? a. More information should be presented if assumptions pertaining to the shape of the distribution are to be made b. When the mean is equal to the median, the shape of the distribution tends to be slightly skewed right c. When the mean is equal to the median, the shape of the distribution can be assumed relatively symmetrical d. When the mean is equal to the median, the shape of the distribution tends to be slightly skewed leftRecent studies have shown that about 16% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 400 patients and find that 52 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 16%. Find the mean of the sampling distribution of p̂.
- Can you please explain to me a good example of what the mean of sampling distribution is?The error in the “best estimate” of the mean of a parent distribution is determined by the errors in the measurements which are used to determine the estimated mean. True or FalseFor the sampling distribution of sample proportions, if np>5 and nq>5 then the mean of the distribution is the population proportion. True False
