99.11. A random sample of 20 daily workers of State A was found to have average doils ャー* キャ ア4 eariing of Rs. 44 with sample variance 900. Another sample of 20 daily workers from State B was found to earn on an average Rs. 30 per day with sample variance 400. Test whether the workers in State A a earning more than those in State B.
Q: A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight…
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- A researcher wants to examine different online teaching environments by collecting data on 20 students. Half of the students had synchronous class while the other half had asynchronous class. For the students who had the synchronous class, they scored an average of 80 on the final exam with a sample variance of 10. For the students who had the asynchronous class, they scored an average of 78 on the final exam with a sample variance of 18. Determine if there is a significant difference between the average final exam score between the two groups of students. Use a significance level of 5%. What is the null hypothesis? Group of answer choices: A.) The average final exam score for the asynchronous class is higher than the synchronous class. B.) There is a difference in the average final exam score between the asynchronous class and synchronous class. C.) The average final exam score for the asynchronous class is lower than the synchronous class. D.) There is no difference in the…An airline is charged by an airport based upon the total taxi-time that an airplane spends to take off and land. Suppose taxi time, a, at airport A is normally distributed with mean of 27 minutes and standard deviation 8 minutes; taxi time, b, at airport B is normally distributed with mean of 39 minutes and standard deviation 12 minutes; taxi time, c, at airport C is normally distributed with mean of 41 minutes and standard deviation 10 minutes. JJ Airlines has a plane flying to airport A, airport B, and airport C on Sunday. Airport A charges $131 per minute of taxi time; airport B charges $150 per minute of taxi time; airport c charges $200 per minute of taxi time. Let X = total amount of taxi time in minutes for the JJ plane. Let W = total taxi charges for the JJ plane. X is defined as X = a + b + c. W = 131a + 150b + 200c. Note that a, b, and c are independent of one another. d) Calculate the standard deviation of W. e) If we pick a value k such that the probability that X > k…A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.42 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.07 ounces of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
- Every year, all incoming high school freshmen in a large school district take a math placement test. For this year’s test, the district has prepared two possible versions: Version 1 that covers more material than last year’s test and Version 2 test that is similar to last year’s test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come to its offices to take Version 1, and it randomly selects 75 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 16.8 . The 75 incoming freshmen taking Version 2 score a mean of 117.0 points with a standard deviation of 18.5 . Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are…The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.4 hours. Because of school closures due to COVID-19, the College Board offered an at-home test for the 2020 AP Statistics Exam. A teacher feels that students, on average, will have a different completion time for the at-home exam. They take a random sample of 25 students that took the exam and their mean time was 2.74 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 5% level of significance. Give answers to at least 4 decimal places. What are the correct hypotheses? Ho: M H₁: P Based on the hypotheses, find the following: Test Statistic t = Critical-Value t = ± 2.4 #v 2.4 o hours hoursThe University of Montana admission standards require students to have an ACT score of at least 22.We know that Montana ACT scores are normally distributed with a mean of 20.1 and standarddeviation of 4. If we ask a random sample of 100 students who took the ACT, how many would be expected toqualify for admission to UM?
- A recent study revealed that the average weight of babies born in the United States is normally distributed with a mean of 7.5 pounds. This number is lower than recent years and so researchers are interested in determining what factors are associated with lower birth weights. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. To study this the researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. Only one baby was measured per mother. Twins and other multiple births were excluded. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds. Was the average weight of babies of young mothers significantly different than babies in the general population? No, the difference was not significant Yes, they were lighter. Yes, they were heavierA study was conducted to examine how anxiety (measured on a metric scale) varies for people from different age groups (<18 years, 19 - 29 years, 30 - 39 years, 40+ years). It was hypothesised that people <18 years old would have the least anxiety of the four age groups. It was also hypothesised that people 40+ years old would have more anxiety than people 19-29 years old. Which of the following would be an appropriate statistical test to conduct, which addresses these hypotheses? Group of answer choices: Factorial ANOVA Multiple Regression Mixed ANOVA Single factor ANOVA Within Subjects ANOVA3) Last year, the mean running time for a certain type of flash light battery was 8.5 hours. This year, the manufacturer has introduced a change in the production method which he hopes will change the mean running time. A random sample of 40 of the new light bulbs was obtained and the mean running time was found to be 8.7 hours. Do the data provide sufficient evidence to conclude that the mean running time of the new light bulbs is different from last year's mean of 8.5 hours? Perform the appropriate hypothesis test using a significance level of 0.05. Assume that standard deviation of running time of all new light bulb batteries of this type is 0.5 hours.
- In a comparison between the mean waiting time of the patients in the hospitals of Giza and Alexandria governments the minister of Health randomly selected 60 hospitals from Giza government and their mean waiting time was 30 minutes and the previous reports showed that the variance was 10 minutes. Also a sample consist of 50 hospitals from Alexandria governments was selected and their mean waiting time of this sample was 15 minutes and from previous reports the variance was 5 minutes. 1-Construct the 95% C.I for the difference between the average waiting time in Giza & Alex2- Without any computations, discuss fully and precisely what will happen to the results you obtained in part (1) if the confidence level changed to be 99% instead of 95%. Give the reason for your answerThe time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.6 hours. Because of school closures due to COVID-19, the College Board offered an at-home test for the 2020 AP Statistics Exam. A teacher feels that students, on average, will have a different completion time for the at-home exam. They take a random sample of 26 students that took the exam and their mean time was 2.73 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 5% level of significance. Give answers to at least 4 decimal places. What are the correct hypotheses? Ho: Select an answer ✓ H₁: Select an answer ✓ Test Statistic t = ? ✓ Critical-Value t = ± ? ✓ hours Based on the hypotheses, find the following: hours Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after…2. A principal of high school was concerned with amount of time her students devote to working at after-school jobs. She randomly selected 25 students, obtained their working hours for 1 week and computed x = 12.5 hours and s = 4.5 hours. She claims that her students work significantly more than the mean of 10.7 hours from a study conducted by the National Association of State High School Association. Test her claim by using the 5% level of significance.