A sampling distribution of the mean has a mean μ X̄ =57 and a standard error σ X̄ =8 based on a random sample of n=12. a. What is the population mean? b. What is the population standard deviation?
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- An unknown distribution has a mean of 100, a standard deviation of 100, and a sample size of 100. Let X = one object of interest. What is the mean of EX? (Enter an exact number as an integer, fraction, or decimal.) 1000 X How are the population mean and sample size used to calculate the mean of sums? Additional MaterialsThe distribution is used when the population distribution is normal and Select one: O a. Both a and b are correct. O b. When the sample size is more than 30. O c. When sample size is less than 30 and the population standard deviation is not known. O d. The population standard deviation is also known.4 A variable of a population has a mean of μ=81 and a standard deviation of σ=7. What is the mean of the sampling distribution? (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.)
- A computer scientist estimates that the proportion of users that properly back up their data is p = 0.304. They will randomly select n = 380 users and will compute the sample proportion that properly back up their data. What is the mean of the distribution of the sample proportion? What is the standard deviation of the distribution of sample proportion? (Report answer accurate to 3 decimal places.) Add WorkIn an independent groups experiment, group A’s mean is 220 and group B’s mean is 180. The estimated population standard deviation is 12, and the standard error of the distribution of differences between means is 20. What is the t obtained value? 2.0 3.33 20 10.00For a sample, a score that is 12 points above the mean has a z-score of z = 1.20. What is the sample standard deviation?
- 4000 B.C. A.D. 150 A study was done on skull sizes of humans during different time periods. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. H2 27 27 131.05 mm 133.94 mm S 5.18 mm 5.27 mm a. Use a 0.05 significance level to test the claim that the mean skull breadth in 4000 B.C is less than the mean skull breadth in A.D 150. What are the null and alternative hypotheses? O B. Ho: H1 =H2 O A. Ho: H1 =H2 H:H1> H2 OC. Ho: H1 = H2 H1: H1 # H2 O D. Ho: H1 # H2 H: H1A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sample mean was determined to be 320. The standard error of the mean is _____.Suppose that 49% of all adult women think they do not get enough time for themselves. An opinion poll interviews 958 randomly chosen women and records the sample proportion who feel they don't get enough time for themselves. a. Describe the sampling distribution of p. Mean = ________ Standard Deviation=__________ b. The truth about the population is p=0.49. In what range will the middle 95% of all sample results fall? lower bound -_______________ upper bound -_______________ c. What is the probability that the oll gets a sample in which fewer than 47% say they do not get enough time for themselves.