what is the probability in simple random sample of 50 ten gram portions of the food items result in a mean of at least 4.9 insects portions. (x-bar is 4, mean of standard deviation is 0.283.sigma is 10. original mean is 4.)
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what is the
Given Information:
Sample size
Mean
Standard deviation
Mean of sampling distribution of mean is
Standard deviation of sampling distribution of mean is
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- Find the probability that a normal variable takes on values more than 1 6 standard deviations away from its mean.The mean total cholesterol for a population of men between the ages of 20 and 29 is 180 micrograms per decilitre with a standard deviation of 37.4. A healthy total cholesterol level is less than 200, 200-240 is border line, and above 240 is dangerous. Assume the distribution is approximately Normal. For a randomly selected man from this group, what is the probability that his total cholesterol level is i. 200 or more? 1i. Between 200 and 240?An SRS of 400400 high school seniors gained an average of ?⎯⎯⎯=40x¯=40 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=25. Suppose we had an SRS of just 100100 high school seniors. What would be the margin of error for 95%95% confidence? Give your answer to three decimal places.
- A company produces steel rods. The lengths of the steel rods are distributed with a mean of 102.3-cm and a standard deviation of 2-cm. For shipment, 7 steel rods are bundled together. Round all answers to four decimal places if necessary. Note: When writing the distributions, they should be of the form (mean, variance) a. What is the distribution of X? X ~ ( b. What is the distribution of X? X~ N( c. For a single randomly selected steel rod, find the probability that the length is between 102.5-cm and 103.5-cm. d. For a bundled of 7 rods, find the probability that the average length is between 102.5-cm and 103.5- cm. e. For part d), is the assumption of normal necessary? Yes NoA recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15. 1. What is the probability that a randomly selected individual would have an IQ between 97 and 112 2. What is the probability that a randomly selected individual would have an IQ between 100 and 113 3. What is the probability that a randomly selected individual would have an IQ of less than 112 and greater than 115Many people believe that the average number of Facebook friends is 328. The population standard deviation is 32.2. A random sample of 60 high school students in a particular county revealed that the average number of Facebook friends was 340. At α = 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 328?
- The mean total cholesterol for a population of men between the ages of 20 and 29 is 180 micrograms per decilitre with a standard deviation of 37.4. A healthy total cholesterol level is less than 200, 200-240 is border line, and above 240 is dangerous. Assume the distribution is approximately Normal. For a randomly selected man from this group, what is the probability that his total cholesterol level is 200 or more? Between 200 and 240? On a standardized test, scores are normally distributed with a mean of 400 and a standard deviation of 80. What score must one have to be in the 80th percentile?A random sample of sizen=20 has the mean 20 and standard deviation 5. What is the standard error of the mean ?Suppose that the antenna lengths on woodlice are approximately normally distributed with a mean of 0.22 inches in a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are less than 0.15 inches? Round your answer to at least four decimal places.
