1. How many possible samples of size 2 can be formed? 2. List all these possible samples and calculate the mean of each.
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- 1. Tornadoes The claim is that for the widths (yd) of tornadoes, the mean is m 6 140 yd. The sample size is n = 21 and the test statistic is t = -0.024.Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 a. Find the value of the population variance o². 14 (Round to three decimal places as needed.) b. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. ▼ E 2 ▼ F (Type integers or simplified fractions.) Probability ▼ C2. A population consists of the four numbers 1, 2, 8, and 9. List all the possible samples of size n =2 which can be drawn without replacement from the population. Find the following: a. Population mean b. Population variance c. Population standard deviation d. Mean of the sampling distribution of sample means e. Variance of the sampling distribution of sample means f. Standard deviation of the sampling distribution of sample means nollevsado
- 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 ▼…B. Samples of size n were randomly selected from populations with means and variance given below. In each case, find the mean and variance of the sampling distribution of the means. 1. n= 4 2. n= 4 3. n= 4 4. n= 5 5. n = 6 議 µ = 5.5 µ = 7.5 p = 8.5 p = 15 H = 20 2 = 25 2 = 9 0? = 16 {? = 30 0? = 36Three 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.)
- You decide that you want to make sure your estimate from part a is correct. You go out and gather 10 simple random samples of 25 people in your school and calculate the proportion of students within each sample whose Amazon packages arrive within two business days of ordering. The proportion of customers that receive their packages within two days of ordering are given below. 0.70, 0.75, 0.6, 0.95, 0.90, 0.73, 0.87, 0.86, 0.92, 0.97 Explain why all of the sample proportions are not the same.1. One sample has n = 4 and a second sample has n = 8. If the pooled variance for the two samples is 24, then what is the estimated standard error for the sample mean difference? a. 9 (incorrect answer) b. 4 c. 3 d. 29a. For binomially distributed data set, approximately what proportion would be below the mean and also within one standard deviation? 16.5%,25%,33%,50%,66%
- Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 a. Find the value of the population median. 4 (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 1 Probability ▼ ▼ ▼ ▼ L ■ (Type integers or simplified fractions.)Use the applet below to select a random sample of 9 babies from the town. Assume μ = 3,500. Repeat many times to observe how the mean birth weights for the samples vary. Then answer the following question. Click to generate a random sample of the weights of 9 babies Population: babies born in town this year Average birth weight in grams: µ = 3500 Sample: 3271 3467 4015 3440 3451 3528 2901 3471 4244 Sample statistic: & = 3532 Sampling Distribution 3,000 3,100 3,200 3,300 3,400 3,500 3,600 3,700 3,800 3,900 4,000 Sample Means: 3704, 3663, 3548, 3398, 3494, 3513, 3503, 3818, 3492, 3447, 3550, 3271, 3542, 3589, 3491, 3532If two large random samples are drawn from two populations, each having a mean of $100, the relevant sampling distribution of their difference has a mean of a. 200 b. The Sum of the 2 Sample Means C. 0 D. The difference between the two sample means.
