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- Read measurements a-h on the enlarged 32nds and 64th graduated fractional rule shown in Figure 38-3.In the following questions, random samples of the given size are drawn from populations with the given means and standard deviations. For each question, a) find the mean and standard error of the distribution of differences in sample means (x⎯⎯⎯1−x⎯⎯⎯2x¯1−x¯2), b) indicate if the sample size is large enough for the Central Limit Theorem to apply. Give your answers to 4 decimal places. Samples of size 80 from Population 1 with mean 16 and standard deviation 5.6 and samples of size 20 from Population 2 with mean 18 and standard deviation 9.5. Mean: Std. Error: Is the sample size large enough for the Central Limit Theory to apply?i. Yes ii. No Samples of size 1000 from Population 1 with mean 36 and standard deviation 8.5 and samples of size 1000 from Population 2 with mean 28 and standard deviation 6.7. Mean: Std. Error: Is the sample size large enough for the Central Limit Theory to apply?i. Yes ii. No Samples of size 30 from Population 1 with mean 36 and standard…2 - What is the median value of the classified frequency series given in the table below? calculate.A) 111.2B) 112.1C) 113.5D) 112.6E) 110.9
- Use the following table to answer the question & the sub part. 1a.What is the df for the t-test comparing total units earned in the row Students on Pell?i. df = 5854 + 1999 = 7853ii. df = 5854 + 1999 - 2 = 7851iii. df = 5854 - 1 = 5854iv. df = 1999 - 1 = 1998 1b. True or False? In the row First-generation College Students, students not employed on campus had the higher standard deviation for time to degree (years).A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.5 99.6 107.7 103.3 92.4 Does this data suggest that the population mean reading under these conditions differ from 100? (a) State the null and alternative hypotheses. (b) Calculate, correct to 2 decimal places, (i) the sample mean, x ; and (ii) the sample standard deviation, s. (c) Evaluate the appropriate test statistic. (d) Test these hypotheses at 0.05 level of significance.Find the z value to the right o the mean so that 54.78% of the area under the distribution curve lies to the left of it.
- For nos. 8 to 12: Answer the ff. 8. If a population has a standard deviation of 9.7, what is the standard deviation of the sampling distribution of its means? The sampling distribution was derived with sample size n = 16. 9. Which of the following is the reason why the sampling distribution of the sample mean is a normal distribution? a. The variance of the population is small. b. The sample size is large. C. The sample is taken from a normal population. d. The Central Limit Theorem guarantees that the sampling distribution of the sample mean is normal regardless of the distribution of the population where the sample was taken. 10. Consider a population consisting of values 2, 3, 5, 7. What is the population standard deviation? 11. Which of the following statements is NOT true about the Central Limit Theorem? a. When a population does not have a normal distribution, the distribution of the sample means will approximately be normal if a large number of samples is taken. b. When…For each of the following situations, state whether you would use a chi-square goodness-of-fit test, a chi-square test of homogeneity, a chi-square test of independence, or some other statistical test. Complete parts a) through c) below. a) Is the quality of a car affected by what day it was built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week. Choose the correct answer below. A. Chi-square test of independence. You have data on two variables, day and quality, for one manufacturer. B. Chi-square goodness-of-fit test. You want to see if the distribution of defects is uniform over the variable day. C. Chi-square test of homogeneity. You have two samples and one variable, day. You want to see if the distribution of quality is the same in the two years. D. Some other statistical test. The variable day is…The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) If the process mean has been adjusted to 0.25 in, what fraction of the shafts produced does NOT conform to specifications? a). 0.0027 b). 0.0013 c).0.08 d). 0.16
- The data in the accompanying table are from a paper. Suppose that each person in a random sample of 49 male students and in a random sample of 88 female students at a particular college was classified according to gender and whether they usually or rarely eat three meals a day. Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) Usually Eat3 Meals a Day Rarely Eat3 Meals a Day Male 26 23 Female 35 53A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α=0.05. (c) p-value for the problem above i