Approximately 28% of 1000 fish in a pond are infected with a skin disease. A random sample of 20 fish is selected. The mean of the sampling distribution for the proportion of your sample that is infected is:
A. 0.20.
B. 0.28.
C. 5.0
D. 4.8.
Approximately 28% of 1000 fish in a pond are infected with a skin disease. A random...
A small pond contains 50 fish, 15 of which have been tagged. Suppose that a fisherman’s catch consists of five fish. (Assume that these five fish form a random sample of size five selected without replacement.) Let X denote the number of tagged fish that are caught. Reconsider the fish pond problem but this time suppose that the sample is selected with replacement. A small pond contains 50 fish, 15 of which have been tagged. Suppose that a fisherman catches...
Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of an infected deer tick. The following data represent the number of reported cases of Lyme disease and the number of drowning deaths for a rural county. Complete parts (a) through (c) below. Click here to view the table of Lyme disease and drowning deaths. Click here to view the critical values table. (a) Draw a scatter diagram of...
The amounts of electricity bills for all households in a particular city have an approximately normal distribution with a mean of $145 and a standard deviation of $28. Let ū be the mean amount of electricity bills for a random sample of 20 households selected from this city. Find the mean and standard deviation of X. Round your answers to the nearest integer, if required. Mj = $ll Gü = $ Comment on the shape of the sampling distribution of...
3. A large pet store that specializes in tropical fish has several thousand guppies. The store claims that the guppies have a mean length of 5 cm and a standard deviation of 0.5 cm. You come to the store and buy 10 randomly-selected guppies and find that the mean length of your 10 guppies is 4.8 cm. This makes you suspect that the mean fish length is not what the store says it is. To explore this further, you assume...
Suppose a random sample of n measurement is selected from a
population with mean My=100, and variance oy2=100. For each of the
following values of n, calculate the mean and standard erro of the
sampling distribution of the sample mean y.
A) n=64
B) n=81
C) n=100
D) n=1000
Book, 4,8 Supplementary problems. 1. Suppose a Hy -100, and variance o,2100. For each of the following values of n, calculate the mean and standard error of the sampling distribution of...
Suppose a simple random sample of size n=200 is obtained from a population whose size is N= 30,000 and whose population proportion with a specified characteristic is p = 0.4. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. A. Not normal because ns0.05N and np(1-P) 10. B. Not normal because ns 0.05N and np(1-p) < 10. C. Approximately normal because ns0.05N and...
A random sample of size n = 40 is selected from a binomial distribution with population proportion p = 0.25. Describe the approximate shape of the sampling distribution of p̂. approximately normalskewed left uniformskewed right Calculate the mean and standard deviation (or standard error) of the sampling distribution of p̂. (Round your standard deviation to four decimal places.) mean standard deviation Find the probability that the sample proportion p̂ is between 0.15 and 0.41. (Round your answer to four decimal places.)
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of 7.5 centimeters. Suppose 200 random samples of size 6 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Determine (a) the mean and standard deviation of the sampling distribution of X¯; (b) the number of sample means that fall between 172.5 and 175.8 centimeters inclusive; (c) the number of sample means falling below...
Selecting a random sample is an example of a statistical experiment, and the sample statistic p is a numerical description of the result of the experiment. Therefore, p is a random variable. The probability distribution of p is called the sampling distribution of p In practice, you select one random sample and use the information from that sample to estimate the population parameter of interest. However statisticians sometimes perform a procedure called repeated sampling, in which the experiment is run...
Question 3 A random sample of 600 M&Ms is selected from the population of plain M&Ms where the population proportion of yellow M&Ms is 20%. a) State the mean and standard error of the sampling distribution using the proper notation for the mean and standard error b) Can the sampling distribution be approximated by a normal distribution? Show work to support your answer c) Using the sampling distribution, calculate the probability that a sample of 600 M&Ms selected at random...