State the null and alternative hypotheses for each of the following situations:a) A guideline for a telemarketing firm states the mean time for completed calls shouldnot exceed four (4) minutes. Each month the firm's owner selects a random sampleof call logs to determine whether the call-time goal is being met.b) General Hook Corporation distributes Peter Pan Cereal in boxes with a stated weightof 18 ounces. To determine whether the filling machine should be adjusted, thequality control manager at General Hook selects and weighs a random sample ofboxes one day each week.c) A manufacturer of trash bags claims its trash bag can hold or support at least 50pounds, on average. A random sample of trash bags is selected and tested.d) A member of the US Senate claims undergraduate students graduate owing morethan $15,000 on student loans, on average. You select a random sample of recentgraduates to test the Senator's claim.

The provided information is as follows:The objective of the given example is to determine the null…

Answered: State the null and alternative…

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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Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 9.7 million out of the 312.7million Americans suffer from sleep apnea, or approximately 3.1%A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%, a simple random sample of 406commercial truck drivers is examined by a medical expert, who concludes that 55 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 3.1%?Use a 0.05 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine1 Machine2 Machine3 Machine4 6.6 9.1 10.9 9.6 8.1 7.8 9.9 12.4 5.6 9.7 9.4 11.7 7.8 10.3 10.1 10.6 8.8 9.5 8.8 10.9 7.5 10.0 8.5 11.4 (a) At the ? = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: ?1 ≠ ?2 ≠ ?3 ≠ ?4 H0: At least two of the population means are equal.Ha: At least two of the population means are different. H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject…
A) Classify the following data as either qualitative data or quantitative data. In addition, classify the quantitative data as discrete or continuous. The number of times that a movement authority is sent to a train from a relay station is recorded for several trains Over a three-week period. The movement authority, which is an electronic transmission, is sent repeatedly until a return signal is received from the train. 1. 2. A physician records the follow-up condition of patients with optic neuritis as improved, unchanged, or worse. The individuals in a sociological study are classified into one of five income classes as follows: low, low to middle Middle, middle to upper, or upper. 3.
A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. A random selection of 8 children is used for the experiment. First, a baseline of the number of times the children brush their teeth over a month’s period is established. Next, the children are shown the dental film and again the number of teeth brushings are recorded for a month. The following data are recorded: Subject 1 2 3 4 5 6 7 8 After Film 28 29 25 30 25 27 28 24 Baseline 25 28 22 30 26 24 25 22 What is the nondirectional alternative hypothesis? df = ∑ D2 = __ Dobt = µD = SSD =
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen Direct Stratified 1 21 7 2 34 38 3 0 7 4 60 58 5 20 54 6 61 61 7 40 27 8 7 7 9 14 7 10 94 100 11 1 0 12 67 58 13 78 67 14 21 54 Specimen Direct Stratified 15 34 27 16 0 0 17 38 38 18 18 14 19 94 94 20 1 14 21 40 47 22 21 21 23 0 0 24 7 14 25 14 40 26 18 14 27 40 78 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using ? = 0.05. (Use ?direct − ?stratified.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four…
Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). B, C, and D
The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The file LateFlights contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Delta and Southwest. Click on the datafile logo to reference the data. DATA file Southwest 120 29 67 89 115 a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. 141 = population mean minutes late for delayed Delta flights 142 = population mean minutes late for delayed Southwest flights Ho 141 142 : Delta 113 36 113 82 26 - Select your answer - 0 Southwest 49 56 31 110 141 df = p-value = We - Select your answer-reject Ho. Delta 142 7 39 90 94 (rounded to 2 decimals) (rounded to 2 decimals) Southwest 66 131 125 26 31 H₂H₂ - Select your answer - 0 b. What is…
Students at a major university in Southern California are complaining about a serious housing crunch. They are stating that many of the university's students have to commute too far to school because there is not enough housing near campus. The university officials' response is to perform a study. The study, reported in the school newspaper, contains the following histogram summarizing the commute distances for a sample of 100 students at the university. Relative frequency 0.3+ 0.2- 0.1+ 0.0 0 0.24 4 0.26 0.18 0.14 8 12 16 Commute distance (in miles) X 0.12 20 0.06 24 Based on the histogram, find the proportion of commute distances in the sample that are greater than or equal to 20 miles. Write your answer as a decimal, and do not round your answer.
An agent for a residential real estate company in a large city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 (a) Determine the coefficient of determination, r2, and interpret its meaning. (b) Determine the standard error of the estimate (Syx).…
As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1,000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Prepare a managerial report that analyzes the data. Consider the complete data set collected over a one-year period. Safety Percent Under 21 Fatal Accidents per 1000 12 2.942 11 0.688 7 0.865 11 1.632 10 2.071 16 2.607 17 3.81 7 0.348 12 1.122 7 0.625 8 1.008 15 2.781 11 1.385 8 1.413 9 0.019 8 0.318 10 1.829 11 2.226 13 2.835 13 2.332 10 1.274 16 4.08 7 2.17 15 3.603 14 2.603 8 0.815 7 0.8 13 2.87 7 1.247 14 3.204 9 0.994 9 0.473 13 1.423 17 3.594 9 1.906 13 1.623 15 2.923 11 1.893 14 2.794 12 2.614 8 0.906 16 3.236 Find the mean and standard deviation of licensed drivers under the age of 21. (Round your answers to two decimal places.) MeanStandard deviation Find…
A statistical program is recommended. Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Weekly Usage(hours) AnnualMaintenanceExpense 13 17.0 10 22.0 20 30.0 28 37.0 32 47.0 17 30.5 24 32.5 31 39.0 40 51.5 38 40.0 #1) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.) #2) The expected expense of a machine being used 34 hours per week is $ hundred.
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine1 Machine2 Machine3 Machine4 6.7 8.7 11.1 9.8 8.0 7.5 10.3 12.9 5.4 9.5 9.6 12.1 7.6 10.1 10.2 10.9 8.6 9.2 9.0 11.3 7.5 9.6 8.6 11.4 Use the Bonferroni adjustment to test for a significant difference between all pairs of means. Assume that a maximum overall experimentwise error rate of 0.05 is desired. Find the value of LSD. (Round your comparisonwise error rate to three decimal places. Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of machines. x1 − x2= x1 − x3= x1 − x4= x2 − x3= x2 − x4= x3 − x4= Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for Machine 1 and Machine 2.There is a significant difference between the means for Machine 1 and Machine 3.There is a significant…

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