According to the central limit theorem, for a sampling distribution of sample mean to have a normal distribution, which criterion/criteria MUST be met? On ≥ 30 Either n ≥ 30 OR the variable is normally distributed in the population. O The variable has to be normally distributed in the population. On ≥ 30 AND the variable is normally distributed in the population.
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- Phyllis, a college business student wants to study how many students in her class study for less than 20 hours per week. Past data reveals that the hours college students study per week has a mean of 29 with standard deviation 9 hours. The normal distribution for the population is shown by the dotted black line. She plans to take a random sample of 36 such college students and will calculate the mean hours studying to compare to the known hours studying. Compute the the mean and standard deviation of the sampling distribution of sample means for a sample of size 36. Round your answers to the nearest tenth. Show your answer by moving the two draggable points to build the sampling distribution.suppose that a random sample of size 20 is taken from a normal distribution with unknown mean and known variance is equal to 1 and me is found to be 10 and normal distribution was used to as a prayer for the mean and it was found that the posterior maine was 15 and posterior standard aviation was 0.1 what is the mean and standard deviation for prior5) Below is the standard deviation for extreme 10k finish times for a randomly selected group of women and men. Chose the statement that best summarizes the meaning of the standard deviation. Women: s = 0.17 Men: s = 0.21 A) The distribution of women's finish times is less varied than the distribution of men's finish times. B) The distribution of men's finish times is less varied than the distribution of women's finish times. C)On average, men's finish times will be 0.21 hours faster than the overall average finish time. D)On average, women's finish times will be 0.17 hours less than men's finish times.
- 11) Suppose we have a distribution of the number of "friends" all users of a popular social media site have. What measure of spread would be best to describe this data? A) spread should be described with the IQR because the distribution will be symmetric. B) The spread should be described with the IQR because the distribution will be skewed to the right. C) The spread should be described with the standard deviation because the distribution will be symmetric. D) The spread should be described with the standard deviation because the distribution will be skewed to the right.2. Doctors volunteer their time on a daily basis in a clinic. The total number of patients served in a day at the clinic has mean 90 and variance 1890. Determine the probability that 120 or more patients can be served in a day at the clinic. Use the Central Limit Theorem with continuity correction. Use linear interpolation with the normal distribution to find the probability.The central limit theorem states that the sampling distribution of sample means has a mean equal to the population -- mean mean mean divided by the population standard deviation mean divided by the population standard deviation standard deviation standard deviation standard deviation divided by the square root of N.
- The red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated be a normal distribution, with a mean of 5.4 million cells per microliter and a standard deviation of 0.4 million cells per microliter a). What is the minimum red blood cell count that can be in the top 25% of counts? b) what is the maximum red blood cell count that can be in the bottom 15% of counts?To study the IQ of middle school students, a sample of 64 middle schoolers is selected and the population standard deviation for middle schoolers IQ is 16, then the standard deviation of the sampling distribution for mean IQ of middle schoolers is 2. O True O FalseThe Central Limit Theorem tells us that the distribution of the sample mean is Normal, regardless of the population distribution or the size of the sample True or false
- when a population is uniformly distributed (flat), is the sampling distribution of xbar for random samples of 2 observations roughly normal, strongly skewed, or triangular?2. As the size of a sample from a population increases, the standard deviation of the sampling distribution will tend to decrease. True False 3. If the sampling frame used to draw a sample does not include the entire population then2