1. Three randomly selected households are surveyed. The numbers of people in the households are 1, 2, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 1, 2, and 12. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n= 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 1,1 1,2 1,12 2,1 2,2 2,12 12,1 12,2 12,12 Construct the probability distribution table. Sample Proportion Probability (Type an integer or fraction.) Choose the correct answer below. O A. The proportion of odd numbers in the population is not equal to the mean of the sample proportions. O B. The proportion of odd numbers in the population is equal to the mean of the sample proportions of even numbers. OC. The proportion of even numbers in the population is equal to the mean of the sample proportions of odd numbers. D. The proportion of odd numbers in the population is equal to the mean of the sample proportions. Choose the correct answer below. O A. The sample proportions do not target the proportion of odd numbers in the population, so sample proportions make good estimators of the population proportion. B. The sample proportions target the proportion of odd numbers in the population, so sample proportions do not make good estimators of the population proportion. OC. The sample proportions do not target the proportion of odd numbers in the population, so sample proportions do not make good estimators of the population proportion. D. The sample proportions target the proportion of odd numbers in the population, so sample proportions make good estimators of the population proportion.

3)   What graphs can help us identify a normal distribution? a. Dotplot b. Histogram c. Boxplot d. Normal probability plot pick one      a, b, c, d     b, c     a, b     a, b, c     b, d

The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is about

An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…

Three randomly selected children are surveyed. The ages of the children are 2​, 4​, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2​, 4​, and 12. Listed below are the nine different samples. Complete parts​ (a) through​ (d).     2​,2    2​,4    2​,12    4​,2    4​,4    4​,12    12​,2    12​,4    12​,12          a. Find the value of the population median.   enter your response here ​(Type an integer or a decimal. Do not​ round.) b. 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 ▼   4.8 2 6.4 enter your response here ▼   5 3 5.5 enter your response here ▼   1.2 2.8 4 enter your response here ▼   10 14 7 enter your response here ▼   16 13 8 enter your response here ▼…

The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance?  For this study, we should use Select an answer t-test for a population mean z-test for a population proportion        H0:H0:  ? μ p  Select an answer = ≠ > <         H1:H1:  ? p μ  Select an answer = > < ≠     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.)

76) A study was conducted to investigate how effective a new diet was in lowering cholesterol. Results for the randomly selected subjects are shown in the table. The differences have a normal distribution. Are the subjects' cholesterol levels lower on average after the diet? Test at the 5% level. Subject A B D E F H I Before 213 211 209 202 220 | 221 242 244 226 After 203 222 193 213 221 206 215 227 205

Three randomly selected children are surveyed. The ages of the children are 2, 3, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 3, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 2,2 2,3 2,10 3,2 3,3 3,10 10,2 10,3 10,10 a. Find the value of the population variance o². (Round to three decimal places as needed.)

Part I A bakery sells homemade bread by the loaf and sales are uniformly distributed between 200 and 600 loaves per day. a. Find the probability of selling 240 loaves on a given day. b. Find the probability of selling between 250 and 260 loaves per day Part II The golf balls produced by TruGolf have a mean distance of 250 meters and a variance of 625 meters. c. How large a sample of TruGolf balls should be taken if they want to estimate with 90% confidence the mean distance to within 8 meters? d A random sample of 40 balls from TruGolf are selected. Find the Bound of Error when the confidence level is 95% for TruGolf

The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance?  For this study, we should use    (t-test for a population mean,  z-test for a population proportion) The null and alternative hypotheses would be:       H0: (symbol) (symbol) ____              H1: (symbol) (symbol) ____               The test statistic (?,t,z) = ____  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is (symbol)  αα Based on this, we should  (accept, reject, fail to reject) the null hypothesis.…