A manufacturer claims that a model of electric scooter has a batterycharging time of 150 minutes (i.e. 2.5 hours). In order to test this claim, 22electric scooters of that model were charged from empty to full battery. Thelength of time for each scooter to charge fully was recorded in minutes.The results are summarised in Table 2.Table 2 Summary statistics for the battery charging time (in minutes) of amodel of electric scooterSample size Mean Standard deviation2216129(a) What is the most appropriate version of the t-test if you want to testthe null hypothesis that the underlying population mean batterycharging time for this model of scooter is what the manufacturer claimsit to be, and the alternative hypothesis is that the underlyingpopulation mean battery charging time is not what the manufacturerclaims it to be? Justify your choice.(b) What are the number of degrees of freedom and the 5% critical value forthe most appropriate t-test applied to these data?(c) Hence calculate a 95% confidence interval for the population meanbattery charging time for this model of electric scooter. Your answershould be rounded to the nearest whole number.(d) Based on your calculated 95% confidence interval, is it plausible thatthe underlying population mean battery charging time is 150 minutes asclaimed by the manufacturer? Justify your answer.

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
Kaitlyn measures the upload speed in megabits per second of her home broadband internet connection during peak hours and off-peak hours. The results are provided in the accompanying table. Peak Off-Peak 5.83 5.14 6.05 6.80 7.14 6.98 3.54 5.77 5.45 7.27 5.90 6.62 5.81 6.19 4.82 6.08 6.37 6.59 4.65 5.58 5.30 7.41 6.48 6.26 5.96 6.37 5.79 6.31 6.84 6.55 5.06 4.95 5.61 7.03 6.45 6.77 Examine the results of Kaitlyn's test to determine the statements that compare the medians and interquartile ranges of the data sets to each other in terms of this situation. Select the two correct answers. The median upload speed during peak hours is 5.905 megabits per second, which is less than the median upload speed during off-peak hours, 7.005 megabits per second. The upload speeds during peak hours are slower on average compared to off-peak times. The median upload speed during peak hours is 6.37 megabits per second, which is greater than the median upload speed during…
A study was conducted to examine if children with autism spectrum disorder (ASD) had higher prenatal exposure to air pollution, specifically particulate matter < 2.5 g in diameter (PM2.5). Researchers obtained birth records of all children born in Los Angeles between 2000 and 2008 and linked these to the Department of Developmental Services records to determine if any of those subjects had been diagnosed with ASD or not. They used the birth addresses given in the birth records to determine the average daily PM2.5 for the third trimester for each child. The standard deviation for PM2.5 among ASD subjects was found to be 34.6 and for non-ASD subjects was 16.8. Assume PM2.5 is normally distributed. 4a. What was the study design? * Randomized Clinical Trial (RCT) * Case Report * Nested Case-Control Study * Case-Control Study * cross-sectional study Cohort Study 4B. What are the null and alternative hypotheses? 4c. What type of statistical test would you use to analyze the…

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