2.A manufacturer recently announced that they had developed a new battery for a smartphone and claimed that it hasan average life of at least 5 days with a standard deviation of 1.2 days. If a random sample of 35 smartphones has anaverage of 3.5 days. Perform a hypothesis testing with 5% level of significance to see if the claim is correct.MathematicalSentence Form:Form:НоMathematicalSentence Form:Form:НаGivenTest StatisticТуре of TestComputationdf (if applicable)= OnlP-valueo =ConclusionS =n =

Given population mean μ0 =5 standard deviation s= 1.2 sample size n= 35 sample…

Answered: 2. A manufacturer recently announced…

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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Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about µ = 28 ml/kg with a standard deviation of 4.75ml/kg. Red blood cells volume that is too low or too high can indicate a medical problem. Suppose he does a hypothesis test with a significance level of 0.01. Roger has had seven blood tests and the red blood cell volumes were: 32 25 41 35 30 37 29 Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong. Symbolically, the null and hypotheses are as follows Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg What value of the test statistic (z) should he report? (Sampling a Normal Distribution for the Mean µ) Group of answer choices a. 0.99 b.2.42 c.2.62 d.2.22
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…
An experiment was conducted to a sample of nine gold fish and ten clown fish to determine if there is a significant difference in the average number of days that the fish can survive without food inside the aquarium. The gold fish averaged 11 days with a standard deviation of 2 days while the clown fish averaged 12 days with a standard deviation of 3 days. What is the appropriate alternative hypothesis?
American Theaters knows that a certain hit movie ran an average of 84 days in each city, and the corresponding standard deviation was 10 days. The manager of the southeastern district was interested in comparing the movie’s popularity in his region with that in all of American’s other theaters. He randomly chose 75 theaters in his region and found that they ran the movie an average of 81.5 days. State appropriate hypothesis for testing whether there was a significant difference in the length of the picture’s run between theaters in the Southeastern district and all of American’s other theaters. At 1 percent significance level, test these hypotheses.
The general population (Population 2) has a mean of 30 and a standard deviation of 5, and the cutoff Z score for significance in a study involving one participant is 1.96. If the raw score obtained by the participant is 45, what decisions should be made about the null and research hypotheses?
A survey among freshman at a certain university revealed that the number of hours spent studying before final exams was normally distributed with mean 25 and standard deviation 15. A sample of 36 students was selected. What is the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours
Tesla claims that it’s latest battery will take only 1 hour to recharge and the battery will last more than double the time of a normal battery. On average, their battery lasts for 70 months. A research group wanted to test that claim. They took a sample of 50 batteries and they found that on average a Tesla battery would last 67 months with a standard deviation of 3.5 months. Using a 3% significance level can you conclude that the mean life of all the Tesla batteries is less than 70 months. (Use the P values approach)
The mean waiting time for non-emergency surgeries in your hospital is 87.5 days with astandard deviation of 14 days. Over the last year the hospital’s CEO has beenimplementing various programs to try to reduce the waiting time. You are asked to testwhether the wait times have changed from the previous average. Not knowing if thewait times have increased or decreased, you hypothesize that the wait times are not 87.5days. You randomly select 100 cases and calculate the average wait time, which is 84days. Use ?= 0.05
The Fair Isaac Cooperation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 330 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 60 people had a mean FICO score of 685 with a standard deviation of 80. Can the economist conclude that the mean FICO score is less than 720? Use the a=0.10 level of significance and the P-value method
Average heart rate for Americans is 72 beats/minute. A group of 25 individuals participated in an aerobics fitness program to lower their heart rate. After six months the group was evaluated to identify is the program had significantly slowed their heart. The mean heart rate for the group was 69 beats/minute with a standard deviation of 6.5. Was the aerobics program effective in lowering heart rate? a) What would be the null hypothesis and alternative hypothesis in this study? b) What is your tcrit(t critical value) ? c) Is there a significant difference between the two groups? d) Interpret your answer. e) Write out your t-value in APA format. *ANSWER ALL PARTS OF THE QUESTION*
The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?
The mean number of eggs per person eaten in the United States is 266. Do college students eat a different number of eggs than the average American? The 61 college students surveyed averaged 285 eggs per person and their standard deviation was 72.6. What can be concluded at the a= 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: v Select an answer H.: vSelect an answer c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) a O The data suggest that the sample mean is not significantly different from 266 at a = 0.10, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 285. O The data suggest that the…

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