& UTMTM UTM103a) An automotive engineer is investigating the lifetime of car batteries. A ran-dom sample of 50 lifetimes (in years) of car batteries resulted in the followingUTM &UTM Esummarised information.UTM &UTUTM SBattery Lifetime (years) Observed FrequencyUTM &UTP(•)Less than 1.951.95 – 2.451UTM UTM2.45 – 2.9532.95 – 3.450.053263.45 – 3.950.148013UTM &UT3.95 – 4.4518UTM &UTMMore than 4.450.2668i. Find the values of x, y and z in the above table.0.17423UTM ULSwith mean 3.5 and standard deviation of 0.7 at 5% level of significance.ii. Test the hypothesis whether the battery lifetime is normally distributedUTM UTUTM UTM &UIeUTM GUTMTM &UTMAnUTMexperiment was conducted to compare the fidelity and selectivity of radioreceivers. One hundred and sixty receivers were tested and classified as low,medium, or high in each of the categories.MUTMUTM&UUTMSelectivityTM &ULowFidelityLowMedium18HighM BUTMediumUTM GUDo the data in the table provide sufficient evidence to indicate a dependence1618High2214202016between fidelity and selectivity? Test using a = 0.025.16UTM &UTMUTM &UTMUTM &UTM UTM

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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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question 20 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 71 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 5 decimal places where possible. c. The park service is considering offering a discount for the 8% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount ? minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: minutesQ3: minutesIQR: minutes
QUESTION 16 A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard deviation of 4 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, what percentage of resistors will have a resistante exceeding 47 ohms'? 42.4796 O 57.5396 O 22.6696 O 77.349%
Question 10 く Suppose that we are studying the amount of time customers wait in line at the checkout at the Gap and Old Navy. The avérage wait time at both stores is five minutes. At the Gap, the standard deviation for the wait time is 2 minutes; at Old Navy the standard deviation for the wait time is 5 minutes. Because Old Navy has a higher standard deviation, we know that there is Select an answer v in the wait times at Old Navy. Overall, wait times at Old Navy are Select an answer v from the average; wait times at the Gap are Select an answer v near the average.
QUESTION 11 The Inspector at a manufacturing company claims that more than 2% of the produced smoke delectors are defective. A random sample of 255 smoke detectors is selected of which 10 are defective. Find the p-value of the test. (Round your answer to three decimal places).
Question 2: The number of pieces of mail received daily at the school office is normally distributed with mean = 100.33 pieces per day and standard deviation o = 25.55 pieces per day. Use the 68-95-99.7 Rule to compute the values in Parts (a) and (b). (a) Between what two values do the middle 95% of daily mail delivery amounts fall? (b) Give the value such that only 2.5% of days have more mail delivery than that day's value. Use Table Z to answer the following questions. (c) On what percentage of days do they get less than 65 pieces of mail? (d) On what percentage of days do they get more than 140 pieces of mail? Draw a diagram showing the number of pieces of mail and shade the appropriate area on the diagram.
QUESTION 5 1. Find the standard deviation of the below data: 7467891 2.708 2.598 7.3333 QUESTION 6
7:08 PM Sun Nov 7 68% AA www-awu.aleks.com B My Question... Bb 5 - Statistic... Session Clos... Bb Collection -... M Login Page Clos... A O DESCRIPTIVE STATISTICS Оpeyemi Interpreting relative frequency histograms Español Anagram puzzles involve sets of scrambled letters that must be rearranged to form words. A standard intelligence test employs these puzzles as an aid in assessing verbal ability. Several years ago, an undergraduate noticed that some versions of the intelligence test employed anagram puzzles with lower-case letters, and some versions employed anagram puzzles with upper-case letters. She performed experiments, with college students as participants, to examine times for completion for the two versions. The histogram below summarizes information about the times for completion for the 25 students she tested on the lower- case version. Frequency 8 7 6. Aa 2- 500 700 900 1100 1300 1500 Time for completion (in seconds) Based on the histogram, find the proportion of times for…
Question 9 The heights of 16-month-old oak seedlings are normally distributed with a mean of 31.5 cm and a standard deviation of 11 cm. What is the range of heights between which 5% of the seedlings will grow? Show all your work using proper mathematical notations.
QUESTION 15 A minimum mileage guarantee on the tires of a tire manufacturing company is being considered to be set. When the cormpany conducted many tire tests, it revealed that the mean miksage has a normal distribution with mean 4,743 and standard deviation 60 The tire manufacturer wants to set the minimum guaranteed mileage so that no more than 2.5 percent of tires will have to be exchanged. Calculate the Lower limit of guaranteed mikeage? (Round answer to lwo decimal places ex. 2.09)
Question 7 of 9 < -/1 E Current Attempt in Progress The mean consumption of water per household in a city was 1231 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 92 households was found to be 1151 cubic feet per month. The population standard deviation is given to be 248 cubic feet. a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at a = 0.05? Round your answer to four decimal places. p-value = We Ho- b. Make the test of part a using the critical-value approach and a = 0.05. Round your answer for z to two decimal places. Zobserved = We く Ho. We conclude that the mean consumption of water per household has eTextbook and Media く due to the campaign by the city council.

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a) An automotive engineer is investigating the lifetime of car batteries. A ran- dom sample of 50 lifetimes (in years) of car batteries resulted in the following summarised information. UTM UTM UT P(•) Battery Lifetime (years) Observed Frequency Less than 1.95 1