2. Listed below are recorded speeds (in km/hr) of randomly selected cars travelling on a section of SCTEX. That part of the express way has posted an average speed limit of 100 km/hr. Use a 0.01 significance level to test the claim that the vehicles do not exceed or is travelling at most the speed limit. 98 110 87 105 | 120 | 75 | 80 65 102 95 90 77 105 100 • Claim: Họ: Vs. H.: • Test statistic to use: Tail of the distribution: • Reject Ho if Computation: • Decision: Conclusion:

2. Listed below are recorded speeds (in km/hr) of randomly selected cars travelling on a section of SCTEX. That part of the express way has posted an average speed limit of 100 km/hr. Use a 0.01 significance level to test the claim that the vehicles do not exceed or is travelling at most the speed limit. 98 110 87 105 | 120 | 75 | 80 65 102 95 90 77 105 100 • Claim: Họ: Vs. H.: • Test statistic to use: Tail of the distribution: • Reject Ho if Computation: • Decision: Conclusion:

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is below the value 129.5 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place. For the value from the previous question you just answered, what percentage of the population would have a blood pressure higher than this value? Express your answer as a percentage rounded to 1 decimal place and show your calculations in the space provided below.
It is considered quite common to have feet of unequal length. In a sample of 10 healthy college students the right-foot and left-foot lengths are given (in mm). Length in mm mean ss Left foot (xx) 268 274 258 259 256 256 264 263 269 270 263.7 6.3779132776932 Right foot (yy) 247 281 249 259 231 273 267 264 285 265 262.1 16.3737594949969 d=x−yd=x−y 21 -7 9 0 25 -17 -3 -1 -16 5 1.6 13.9459273226591 (a) Find the test statistic. (b) Test the claim at the 0.05 significance level. Positive critical value: Negative critical value: Is there sufficient data to support the claim?YesNo
The mean score on a driving exam for a group of drivers education students is 72 points with a standard deviation of 6 points. apply Chebyshev theorem to the data using K=2. Interpret the results. Simplify answer.
Please provide a clear and complete solution. Answer quickly for I have 30 minutes left. Thank you.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
4. In the ordered data: 20, a, 25, 30, 40, b, 49. If the first quartile=23.5 and IQR=19, then the values of a and b are: a=21.5, b=45.5 a=21, b=48 a=22, b=45 a=22.5 , b=45.5 5. Let X-Bin (12, 0.2), then * P (X 2 1) = O 1- 0.212 O 0.812 O1- 0.812 O 0.212
Please answer number nine.
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous fortrout. Suppose that a friend tells you that the average length of trout caught in PyramidLake is μ = 20 inches. However, the Creel survey reported that for a random sample of 27fish caught, the mean length was 22.1 inches with a sample standard deviation of 4.3inches. Does this data indicate that the average length of trout caught at Pyramid Lake ismore than 20 inches? Use α = 0.05.a. State the null hypothesis. ___________ State the alternative hypothesis. ________________b. Find the test statistic. ______ c. Find the P-value for the test._____________
e) Suppose that the 3rd quartile is equal to 46. How much data is located above 46? Why?
Please write in complete thx. Two machines used to fill soft drink containers are being compared. The number of containers filled each minute is counted for 26 minutes for each machine. During the 26 minutes, machine 1 filled an average of 69.2 cans per minute with a sample standard deviation of 2.1 cans per minute, and machine 2 filled an average of 68.5 cans per minute with a sample standard deviation of 3.1 cans per minute. Assume both populations are normally distributed and the population standard deviations are unequal. Can you conclude that machine 1 is faster than machine 2 at the α = 0.05 level? State the relevant hypotheses, compute the test statistic and p- value, and state your conclusion in context. Describe what committing a Type I error would be in this situation. Describe what committing a Type II error would be in this situation.
Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is below the value 101.3 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place. For the value from the previous question you just answered, what percentage of the population would have a blood pressure higher than this value? Express your answer as a percentage rounded to 1 decimal place and show your calculations below.