Suppose you have a population with an unknown distribution with mean 40 and standard deviation 5. What is the smallest interval that is guaranteed to contain at least 95% of the population? Group of answer choices 16.45 < x < 63.56 30.00 < x < 50.00 37.50 < x < 42.50 17.63 < x < 62.37 30.20 < x < 49.80

Q: The human resources department of a consulting firm gives a standard creativity test to a randomly…

A: There are two companies, A and B; data was obtained from each, and the summary statistics are as…

Q: For a normally distributed population with a mean of 40 and a standard deviation of 5 find P(38 < X…

A: Given Information: Required : To find P(38 &lt; X &lt; 41) Z-score is a measure which indicates…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10for the population of…

A:

Q: deviation =19 and determine the required sample size using technology. Then determine if this is…

A: Given : Margin of error, ME = 5 population standard deviation, σ = 19

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 22 for the population…

A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Q: cher wants to set up a 95% CI for IQ scores using the following information: The sample mean M =…

A: According to the sum,  a researcher wants to set up a 95% CI for IQ scores using the following…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 16 for the population…

A: Given : μ=100σ=16Confidence level = 95%α=1-0.95=0.05Margin of error :E=4The formula for sample size…

Q: Suppose that the minimum and maximum ages for typical textbooks currently used in college courses…

A: Using the range rule of thumb, Standard deviation = range/4                                   =…

Q: A cereal manufacturer claims that the weight of a box of cereal labeled as weighing 12 ounces has a…

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Q: An IQ test is designed so that the mean is 100 and the standard deviation is 16 population of normal…

A: Given that  σ = 16E = 4 At 90% the critical value at Zα = 1.645 by standard normal table of Z we…

Q: For a normally distributed population with a mean of 40 and a standard deviation of 5 find P(38 < X…

A: Here given that a normally distributed population with a mean of 40 and a standard deviation of 5.…

Q: Why is the standard deviation of the distribution of sample means smaller than the standard…

A: Since we know that the  Central limit theorem is defined as  for a large enough sample size that is…

Q: The required sample size is (Round up to the nearest integer.) Would it be reasonable to sample this…

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Q: Suppose that a distribution of 500 items has mean 115 and standard deviation 44. Find the​ z-score…

A: We know z-score = (data points- mean) / standard deviationhere data points = 500mean = 115standard…

Q: An iq test is designed  so that the mean is 100 and the standard  deviation  is 15 for the…

A:

Q: The mean is 20,000 and the standard deviation is 1000, use the 68-95-99.7 rule to find the…

A: We have given that the mean is 20,000 and the standard deviation is 1000.

Q: Let a population consist of the values 9 cigarettes, 10 cigarettes, and 20 cigarettes smoked in a…

A:

Q: Let a population consist of the values 7 cigarettes, 8 cigarettes, and 22 cigarettes smoked in a…

A: The population consists of 7, 8, and 22 cigarettes.The population mean is the formula for…

Q: ppose x comes from a distribution where the mean is 151 and the standard deviation is 22. Suppose a…

A: Population mean =151Population standard deviation =22Sample size n =63

Q: AH IU test is designed so that the mean is 100 and the standard deviation is 9 for the population of…

A:

Q: Suppose a population is known to be normally distributed with a mean, equal to 116 and a standard…

A: The percentage of the population would be between 116 and 144 is obtained below:It is given that the…

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: The mean of the sampling distribution is, μx¯=μ=101 Thus, the mean of the sampling distribution is…

Q: A survey of 9 popular restaurants is used to estimate the mean number of kitchen employees. Which…

A: A survey of 9 popular restaurants is used to estimate the mean number of kitchen employees.

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 1313 for the population…

A:

Q: Suppose that X is a normally distributed with mean 34 and standard deviation 12 Find the P(X>25)

A: Answer: From the given data, mean (μ) = 34 standard deviation(σ) = 12 X follows normal…

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

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Q: The standard IQ test is designed so that the mean is 100 and the standard deviation is 15 for the…

A:

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 22 for the population…

A: Given Information:  Mean = 100 Standard deviation (s) = 22  Confidence interval = 90%  Error = 5…

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: Given that mu = 102,s.d=37.8,n=15

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population…

A: Determine the sample size.   The sample size is obtained below as follows:   Use EXCEL Procedure…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population…

A: Standard Deviation = σ = 18 Margin of Error = E = 8 Confidence Level = 95 Significance Level =…

Q: Assume that military aircraft use ejection seats designed for men weighing between 147.2lb and 207…

A:

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population…

A: The margin of error is 4 and the population standard deviation is 13.

Q: Suppose heights of dogs, in inches, in a city have an unknown distribution with mean 24 and standard…

A: Given that heights of dogs in inches have a unknown distribution with mean 24 and standard deviation…

Q: when we sample from an infinite population, what happens to the standard error of the mean if the…

A: Given: Initial sample size = 1600 New sample size = 100

Q: Let a population consist of the values 11 cigarettes, 17 cigarettes, and 18 cigarettes smoked in a…

A: Given Information: Population consists of 11 cigarettes, 17 cigarettes and 18 cigarettes smokes in a…

Q: Let a population consist of the values 10 cigarettes, 11 cigarettes, and 20 cigarettes smoked in a…

A: Given Information: The population consists of values: 10, 11, 20 All possible samples of size 2 with…

Q: all possible samples of size 100 from a very large population of values. The mean of the population…

A: given data,n=100μ=550σ=50

Q: Solve for the: 1. Mean 2. Median 3. Mode 4. Standard Deviation

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The time needed for college students to complete a certain paper and pencil maze follows a Normal…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The heights of people in a certain population are normally distributed with a mean of 63 inches and…

A: Given, The heights of people in a certain population are normally distributed with a mean of 63…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.