Three randomly selected households are surveyed as a pilot project for a larger survey to be conducted later. The numbers of people in the households are 2, 4, and 10. Consider the values of 2, 4, and 10 to be a population. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 10. The nine different samples are as follows: (2,2), (2,4), (2,10), (4,2), (4,4), (4,10), (10,2), (10,4), and (10,10). (i) Find the mean of each of the nine samples, then summarize the sampling distribution of the means in the format of a table representing the probability distribution. (ii) Compare the population mean to the mean of the sample means. (iii) Do the sample means target the value of the population mean? In general, do means make good estimators of population means? Why or why not?

Three randomly selected households are surveyed. The numbers of people in the households are 2​, 4​, and 9.Assume that samples of size n=2 are randomly selected with replacement from the population of 2​, 4​, and 9.Listed below are the nine different samples. Complete parts​ (a) through​ (c).   2​,2    2​,4    2​,9    4​,2    4​,4    4​,9    9​,2    9​,4    9​,9    a. Find the median of each of the nine​ samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values.   Sample Median Probability   ▼   4 3 2 ?   ▼   3 4 6 ?   ▼   4 6 8 ?   ▼   8.5 5.5 11 ?   ▼   6.5 13 10 ?   ▼   13.5 18 9 ? ​(Type integers or fractions. Use ascending order of the sample​ medians.)   b. Compare the population median to the mean of the sample medians. Choose the correct answer below.   A. The population median…

Three randomly selected children are surveyed. The ages of the children are 3, 5, and 10. Assume that samples of size n= 2 are randomly selected with replacement from the population of 3, 5, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 3,3 3,5 3,10 5,3 5,5 5,10 10,3 10,5 10,10 . a. For the population, find the proportion of odd numbers. The proportion is (Round to three decimal places as needed) b. Find the proportion of odd numbers of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct proportion values ce! Sample Proportion Probability Tool (Type integers or simplified fractions.) c. Find the mean of the sampling distribution of the sample proportion of odd numbers. The mean is (Round to three decimal places as needed ) Next Activane

Three randomly selected households are surveyed. The numbers of people in the households are 4, 5, and 9. Assume that samples of size n= 2 are randomly selected with replacement from the population of 4, 5, and 9. Listed below are the nine diff Print samples. Complete parts (a) through (c). 4,4 4,5 4,9 5,4 5,5 5,9 9,4 9,5 9,9 D a. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median (1) Probability (2) (3) (4) (5) (6) (Type integers or fractions. Use ascending order of the sample medians.) b. Compare the population median to the mean of the sample medians. Choose the correct answer below. O A. The population median is equal to half of the mean of the sample medians. O B. The population median is not equal to the mean of the sample medians (it is also not half or double the mean of the sample medians).

According to Pew Research Center surveys, 79% of U.S. adults were using the Internet in January 2011 and 83% were using it in January 2012 (USA TODAY, January 26, 2012). Suppose that these percentages are based on random samples of 1720 U.S. adults in January 2011 and 1970 in January 2012. a. Let p, and p, be the proportions of all U.S. adults who were using the Internet in January 2011 and January 2012, respectively. Construct a 95% confidence interval for p, - P2- Round your answers to three decimal places. to i

= 12,000 and p = 0.71. A random sample of 902 elements selected from this population gave p 0.61. Find For a population, N the sampling error. Enter the exact answer. sampling error =

A college student is interested in whether presoaking time has an effect on cleanliness of clothing.  He collects the dirty clothes from all of the people in his dorm and randomly assigns clothing to one of four presoak time conditions: 5 minutes, 10 minutes, 15 minutes, 20 minutes.  He then asks members of another dorm to rate the cleanliness of the items (they don’t know which clothing got which soaking time).  The data are presented below. C) Perform an LSD test and answer the questions that follow (SHOW ALL WORK!!! This can be on the same page as your other ANOVA hand work. Make sure it is inserted and/or uploaded): df error =   tcrit (df error)   MS error =   s =     LSD = _____________   Mean Comparisons:   Mean5 min vs. Mean10 min = |      ___            __       | = ___ ___              Greater than (>) LSD value? __   ___  Significant?__                   ­___   Mean10 min vs. Mean15 min = |__________________| =   ______             Greater…

A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.

A quarterback  threw 1 interception in his first game, 2 interceptions in his second game, and 5 inter-ceptions in his third game, and then he retired. Consider the values1, 2, and 5 to be a population. Assume that samples of size 2 are randomly selected (with replacement) from the population. List  the  9  different  possible  samples,  and  find  the  mean  of each sample.

Identify the sampling techniques used in each scenario. f. in order to sample the production yield of milk for the farm's herd of cows, random samples are taken from each of the five different types of cows.