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- *A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1: Rate of hay fever per 1000 population for people under 25 100 92 119 127 94 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. x2: Rate of hay fever per 1000 population for people over 50 94 109 100 97 111 88 110 79 115 100 89 114 85 96 (i) Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to two decimal places.) x1 = s1 = x2 = s2 = (ii) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use α = 0.05.(a) What is the level of significance? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.4. In an organization consisting of 5 women and 10 men, a committee of four individuals is to be selected at random from the 15 people. Find the distribution of the random variable, X = Number of women on the committee.
- 2.) The table shows the distribution of a random sample of fatal motor vehicle collisions by time of day and gender in a recent year. Use a = 0.10 significance to perform a Chi-Square hypothesis test. O: E: C: O: E: C: totals: 12:00-5:59 6:00-11:59 654 308 490 231 12:00-5:59 pm 654 308 6:00-11:59 pm 1471 692 totals16-15. Two simple random samples each of sizen are drawn, one with replacement and dnother without replacement, from a finite population consisting of 50 units. If the number of defective units in the population is 20, find n if the standard error (S.E.) of sample proportion with SRSWOR is times that of SRSWR. Find S.E. of sample proportion with SRSWR.If all the possible random samples with n- 36 scores are selected from a normal population with p- 80 and o - 18, and the mean is calculated for each sample, what is the average of all the sample means? O80 O 2 o Cannot be determined from the information given
- 15. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eightfull-time faculty for one week is shown in the table below. At α=0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.1 8.9 12.4 8.1 6.1 10.8 12.9 9.1 Question content area bottom Part 1 (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? A. H0: μ=11.0 Ha: μ≠11.0 B. H0: μ<11.0 Ha: μ≥11.0 C. H0: μ≠11.0 Ha: μ=11.0 D. H0: μ≥11.0 Ha: μ<11.0 E. H0: μ≤11.0 Ha: μ>11.0 F. H0: μ>11.0 Ha: μ≤Consider the following population: {3, 4, 5, 6}. For this population the mean is μ = 3 + 4 + 5 + 6 4 = 4.5 Suppose that a random sample of size 2 is to be selected without replacement from this population. There are 12 possible samples (provided that the order in which observations are selected is taken into account). 3, 4 3, 5 3, 6 4, 3 4, 5 4, 6 5, 3 5, 4 5, 6 6, 3 6, 4 6, 5 (a) Compute the sample mean for each of the 12 possible samples. Sample Sample Mean 3, 4 3, 5 3, 6 4, 3 4, 5 4, 6 5, 3 5, 4 5, 6 6, 3 6, 4 6, 54.A bank has two different customer lines, A and B. Callers dial a single number with 444. Customer service, callers randomly to one of these two lines It directs. In these lines, there is a difference between the lengths of the customers' conversations after connecting to the operator. It is desired to be determined. Random samples of two lines were selected and the following data were obtained. (?? = the last three digits of your student number. If all the last three digits are zero, choose as a three-digit number) A LİNE B LİNESample Size ?1 = 200 ?2=176Sample Average (seconds) 216 195Sample Standard Deviation 35.10 37.80 a.Using the sample statistics, estimate the difference of the two mainstreams within the 95% confidence interval.b.Hypothesis…
- 7. A population has = 60 and = 10. Find the z-score corresponding to each of the following sample means: a. A sample of n = 4 with M = 55. b. A sample of n = 25 with M = 64 c. A sample of n = 100 with M = 627. Workers at a large toxic ceanup project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult. Then u-7500 and a -1750 (Reference: Diagnostic Tests with Nursing Applications, S. Loeb). A random sample of n =50 workers from the toxic cleanup site were given a blood test that showed x = 6820. What is the probability that, for healthy adults, I will be this low or lower?2. A population has member numbers 2, 4, 6, 8, 10, 12. Then 2 samples are taken at random and without replacement. If it is known that u =7 Find: - Population variance (o?) - The mean standard deviation of the sample (ox?)