Suppose x has a distribution with = 58 and σ = 8.USE SALT(a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?O Yes, the x distribution is normal with mean μx = 58 and ox = 2.O Yes, the x distribution is normal with mean μx = 58 and o = 0.5.OYes, the x distribution is normal with mean μ = 58 and ox = 8.O No, the sample size is too small.(b) If the original x distribution is normal, can we say anything about the X distribution of random samples of size 16?OYes, the x distribution is normal with mean μ= 58 and ax = 2.O Yes, the x distribution is normal with mean= 58 and x = 0.5.= 8.XO Yes, the x distribution is normal with mean μ = 58 and oexO No, the sample size is too small.Find P(54 ≤ x ≤ 59). (Round your answer to four decimal places.)

Given x has a distribution with μ = 58 and σ = 8.

Answered: Suppose x has a distribution with = 58…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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6. In a location two random samples were taken concerning the rate of hay fever per 1000 population. Sample 1 (n1 = 16) contained people under 25, sample 2 (n2 = 14) contained people over 50. %3D X1 = 109.5 S1 = 15.41 X2 = 99.36 s2 = 11.57 %3D Assume that the hay fever rate in each group has an approximately normal distribution. Do the data indicate that the over 50 group has a significantly lower hay fever rate? (Use a = 5%)
15. The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 10.0. 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=0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.2 7.5 12.2 7.2 4.1 9.5 13.7 8.5 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>10.0 Ha: μ≤10.0 B. H0: μ≠10.0 Ha: μ=10.0 C. H0: μ<10.0 Ha: μ≥10.0 D. H0: μ≤10.0 Ha: μ>10.0 E. H0: μ≥10.0 Ha: μ<10.0
Show complete solution with conclusion with the normal curve. 1. XYZ University claims that the average time for all the students in their school to finish their module is 80 hours. The Department of Education wants to see if the claim of the school is true because they want to see the effectiveness of giving two weeks’ time for the students to answer their modules. The Department gathered a 28 randomly selected students, it was found out that the average time for the students to finish their module is 95 hours with a standard deviation of 22 hours. Test the claim at α=0.05.
Please see below. Note that I am only given one attempt at this and I believe that the answer I have may not be correct. In selecting the sample size to estimate the population proportion pp, if we have no knowledge of even the approximate value of the sample proportion p̂ p^, we:A. take two more samples and find the average of their p̂ p^B. let p̂ =0.95p^=0.95C. let p̂ =0.50p^=0.50D. take another sample and estimate p̂ p^ Under which of the following circumstances is it impossible to construct a confidence interval for the population mean?A. A normal population with a large sample and a known population variance.B. A normal population with a small sample and an unknown population variance.C. A non-normal population with a large sample and an unknown population variance.D. A non-normal population with a small sample and an unknown population variance.
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13.Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ1μ1 = mean before workout. before 75 71 65 69 63 70 72 80 after 82 78 65 71 68 71 76 88 Construct the appropriate confidence interval for the given level of significance. ( , ) [three decimal accuracy] [three decimal accuracy]
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4. You ask an SRS of 1500 college students whether they applied for admission to any other college. Suppose that in fact 35% of all college students applied to colleges besides the one they are attending. The sampling distribution of the proportion of B your sample who say "Yes" is approximately Normal with mean 0.35 and standard deviation 0.01. Sketch this Normal curve and use it to answer the following questions. (You can use the 68-95-99.7 rule for all these questions.) Round to nearest whole percent. (a) What percentage of many samples would have a larger than 0.37? 2.5 (b) What is the probability that your sample will have a less than 0.33?Å (c) what is the probability that your sample result will be either less than 0.33 or greater than 0.35?
4. The grades in an exam have a normal distribution with u=75 averages and o=8 standard deviation. The teacher gives AA to those who score 90 and above. Since 12 students got AA, what is the approximate number of students taking the exam?

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