Q4 Suppose that the Quiz-I marks for all five students in BUS 172 section 14 follow normaldistribution and marks (out of 10) of all students are given in following table.| 6.5 7 6 789Find the probability that the Quiz-I mark for a randomly selected student is between 6.5 and 9.5showing the required area graphically indicating both X and Z-scaling.

Q4. The data shows the marks for all students in BUS 172 section 14 of Quiz-I which follows normal…

Answered: Suppose that the Quiz-I marks for all…

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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Find X1.05 for x² distribution with 10 degrees of freedom. = X0.05 (Round the answer to 3 decimal places)
7. Use R: Suppose the yearly income of people in Minnesota is normally distributed with mean 45,700 and standard deviation 2830. Find the probability that 10 randomly selected people have mean (Xbar) income between 44000 and 48000.
The burning life (in hours) of electric lamps installed in a street of a city follows a normal distribution with an average of 120 burning hours and variance of 54000 square minutes. Find the probability of the electric lamps that are likely to burn for more than 110 hours more than 5124 minutes and less than 7450 minutes
Suppose steel wires have the tensile strength represented by a normal distribution with mean value equal to 5000N and standard deviation equal to 150N. Knowing that these wires will be used in the manufacture of a steel cable to be mounted on the boom of a crane, what should be the number of wires to be used in the manufacture of this cable so that the probability of the cable breaking with a load less than 50,000N is 2%?What would be the safety factor associated with this probability of failure?Suppose the resistance of the cable is expressed by the sum of the resistance of the wires that make it up.
The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 12 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 9, 5, 5, 7, 8, 5, 7, 7, 9, 5, 6, 9 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: pv = 7 H: pv> c. The test statistic t v = -0.352 (please show your answer to 3 decimal places.) d. The p-value = 0.3657 X (Please show your answer to 4 decimal places.) e. The p-value is >vV a vX the null hypothesis. f. Based on this, we should reject g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly more than 7 at a = 0.10, so there is statistically significant evidence to conclude that the population mean wait time…
The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 12 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 9, 5, 5, 7, 8, 5, 7, 7, 9, 5, 6, 9 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: P Select an answer H1: pv Select an answer v c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is >v f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that .. O The data suggest the populaton mean is significantly more than 7 at a = 0.10, so there is statistically significant evidence to conclude that the population…
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Is there any difference in mean life of these two brands of tires? Car Brand Brand 36,925 34.318 42,280 1 45.300 36,240 3 4 35.500 32,100 31,950 38,015 37.210 48,360 5 47,800 38,200 37,810 33.500 33,215 6. 7 8. 1. Is this samples independent or paired samples? Explain. 2. Write Ho and H1 3. Calculate Test statistics(T). 4. What is the critical value (T from tables)? 5. What is your conclusions if a = 0.05? 6. Estimate with 90% confidence the different in the means. Which brand would you prefer based on this calculation?
The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 17, 16, 14, 16, 14, 15, 16, 15, 14, 14, 13, 15, 17 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? vSelect an answer v H: ? v Select an answer v c. The test statistic ? v: (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean wait time for men who wear a tie is not significantly more than 15 at a = 0.05, so there is…
Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 230. The supermarket is open 15 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10400? (Hint: Calculate the average hourly number of customers necessary to exceed 10400 in one 15-hour day.) Probability =
Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the standard deviation of the set of averages? A. 1.00 B. 0.729 C. 0 D. 1.40
Suppose collection of all quiz marks of a class of students is normally distributed with a mean of 7 and a standard deviation of 1. Calculate the probability that a student will receive a mark less than 5.
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.84 and a mean diameter of 201 inches. If 89 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 201.2 inches? Round your answer to four decimal places. don't forget to round

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