Given, = 118.5, = 1.20
P( X < x) = p( Z < x - / )
We have to find P( 116 < X < 120) = ?
P( 116 < X < 120) = P( X < 120) - P( X < 116)
= P( Z < 120 - 118.5 / 1.2) - P( Z < 116 - 118.5 / 1.2)
= P( Z < 1.25) - P( Z < -2.0833)
= 0.8944 - ( 1 - 0.9814)
= 0.8757
= 87.57%
Percentage of data falls between 116 and 120 = 87.57%
4) A large number of voltages show a mean of 118.5V and a population standard deviation...
A population is normally distributed with a mean of 55 and a standard deviation of 4. Using the Empirical Rule, approximately what percentage of data values fall between 51 and 59? Please show your calculations.
In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected for a market research campaign. The sampling distribution of the sample mean IQ is a. approximately Normal, mean 112, standard deviation 20. ob approximately Normal, mean 112, standard deviation 1.414. approximately Normal, mean 112, standard deviation 0.1. d. exactly Normal, mean 112, standard deviation 20.
Question 4: (1.5 marks) A population is normally distributed with mean ? and standard deviation ?. Find the percentage of values which are between ? − 2? and ? + 2?.
18. Compute the standard deviation in stock prices given the data below. Find the sample standard deviation and the population standard deviation. Show all work. What are the units of the standard deviation? $40, $45, $50, $53, $80, $120, $120, $68 A man owns stock valued at $2700 One day the stock drops by 8%, and then gains the same percentage back the next day. How much money is the stock valued at the end of the second day? 18....
In a large population of prisoners, the mean IQ is 95 with a standard deviation of 15. 250 adults from this population are randomly selected for a survey of attitudes toward crime. a. What is the mean of this sampling distribution (all samples of n = 250)? b. What is the standard deviation of the sampling distribution? c. What is the shape of sampling distribution? d. If an individual prisoner has an IQ of 90, is she a likely or...
the population mean of a concrete manufacturer bags is 80 lb with a population standard deviation of 1 lb the distribution is aprroximately normal Determine a:the percentage of bags less than 78.5 lbs b: the %of bags greater than 80.8 lbs c: the % of bags between 78.5 and 80.8 lbs
4. Interval estimation of a population mean, population standard deviation unknown The Business Environment and Enterprise Performance Survey (BEEPS), developed by the European Bank for Reconstruction and Development and the World Bank, is a survey of more than 4,000 firms in 22 transition countries. Conducted in 2000, BEEPS gathered information on the impediments to business growth in transition countries. As part of BEEPS, firms answered the question, "How many days does it take to transfer money through the financial system...
In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected for a market research campaign. The probability that the sample mean IQ is greater than 110 is...?
In a large population of adults, the mean IQ and standard deviation are respectively. Suppose 200 adults are randomly selected for a market research campaign. What is the probability that the sample mean is less than 110?
In the EAI sampling problem, the population mean is $51,400 and the population standard deviation is $5,000. When the sample size is n = 30, there is a 0.4161 probability of obtaining a sample mean within +/- $500 of the population mean. Use z-table. What is the probability that the sample mean is within $500 of the population mean if a sample of size 60 is used (to 4 decimals)? What is the probability that the sample mean is within...