Question 2:A student safety advocacy group believes that drivers are speeding down Manhattan College Blvd. To provetheir point, they wish to college vehicle speed data. Previous research has shown that the standard deviation ofvehicle speeds on this functional class of roads is 7.00 mph.A. How many vehicles will the group need to sample to determine the 50h percentile speed if they wishto be 95.5% confident in their results plus or minus 3.00 mph?B. How does the 50th percentile required sample size change if we are concerned about the 85thpercentile?C. How does the 50h percentile required sample change if we want the results to be accurate to plus orminus 1.5 mph?

A student safety advocacy group believes that drivers are speeding down Manhattan College…

Answered: A student safety advocacy group…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.7. Carissa wants to know if the average sales generated by McDonald's restaurants in New Mexico is different than the worldwide average. She surveys 18 restaurants in New Mexico and finds the following data (in millions of dollars): 2.1, 2, 2.9, 1.7, 1.8, 2.3, 2.1, 2.1, 3.3, 1.4, 1.6, 1.4, 1.4, 2.3, 2.6, 2.7, 2.7, 1.7 Perform a hypothesis test using a 8% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 2.4 Ha: Ev 2.4 (So we will be performing a two-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P(zv [ p-value = Step 4: Make a Conclusion About the…
A study states that for a particular area, the average income per family is $34,569 and the standard deviation is $8256. What percentage of families in that area earn below $25,000?
Consider the following sample: 1, 4, 7, 2, 6. How does the standard deviation change when the 7 is replaced with a 12? Answer intuitively first, and then check your answers numerically.
If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5 miles per hour, what would the standardized score be for a pitch that is 97 miles per hour? O 0.4 4.0 1.4 O 1.0
Is a measure of 29 inches "far away" from a mean of 19 inches? Suppose the data come from a sample whose standard deviation is 2 inches. A. How many standard deviation is 29 inches from 19 inches? b. Is 29 inches far away from a mean of 19 inches? c. Suppose the standard deviation of the underlying data is 7 inches. Is 29 inches far away from a mean of 19 inches?
. Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, the Creel Survey reported that of a random sample of 49 fish caught, themean length was ?̅= 18.5 inches, with estimated standard deviation ? = 3.2 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05.a. Do we use a Normal or a Student’s t- distribution? Explain. How many degrees of freedom do we use?b. What are the hypotheses?
A company wants to assess the average time it takes for customers to complete a particular task on their website. They collect the following data from a sample of 10 customers: 5, 6, 7, 8, 9, 10, 10, 11, 12, 13 minutes. Calculate the sample mean and standard deviation for this data.
An economist would like to estimate the mean amount of money that a family spends towithin $35. If the amount spent by a family is considered to be normally distributed withstandard deviation $261, what sample size would be necessary to be 91% confident?
The providence health maintenance organization wants to establish a criterion for recommending dietary changes if cholesterol levels are in the top 3%. What is the cutoff level for men aged 18 to 24 and the mean is 178.1 and the standard deviation is 40.7
Please answer the following: You can Thank you. Adult IQ scores can be modeled using a normal model with mean 100 and a standadrd deviation of 15. a. Find the prportion of IQ scores that are less than 115. b. Find the proportion of IQ scores that are greater than 131.5. c. Find the proportion of IQ scores between 90 and 110. d. Find the proportion of IQ scores that are betewwn 110 and 120. e. Find the IQ score above which there are 10% of the scores. f. Find the IQ score below which there are 20% of the scores.
Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 11 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $45,000 with a standard deviation of $9700. Seventeen people with doctoral degrees in education were found to have a mean annual salary of $31,000 with a standard deviation of $10,000. Assume that the population variances are not the same. Construct a 95% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary. LOWER AND UPPER ENDPOINT
Compare the following two sample data sets: A: 5,4,6,3,6,7A: 5,4,6,3,6,7 B: 6,5,7,6,1,8B: 6,5,7,6,1,8 Which data set has the greater sample standard deviation, and which data set has the greater range? Use the calculator if needed. Select the answer that is completely correct. The sample standard deviation of set B is greater. The range of set A is greater. The sample standard deviation of set A is greater. The range of set B is greater. The sample standard deviation of set A is greater. The range of set A is greater. The sample standard deviation of set B is greater. The range of set B is greater.

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