J 2 The following 5 questions are based on this information.A random sample of 25 Apple (the company) customers who callApple Care Support line had an average (X) wait time of 187seconds with a sample standard deviation (s) of 50 seconds. Thegoal is to construct a 90% confidence interval for the average (μ)wait time of all Apple customers who call for support.Assume that the random variable, wait time of Apple customers(denoted by X), is normally distributed. Question 18The 90% confidence interval estimate of is187 17.1187 +50187 12.82187 10Question 19Suppose Apple claims that the average wait of a customer is 175seconds. In light of the sample evidence and at the 10% level ofsignificance,O We can reject Apple's claimWe may or may not reject Apple's claimWe can not reject Apple's claim

As per the guidelines, only one question with at most three subparts could be solved at a time. In…

Answered: The 90% confidence interval estimate of…

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 1 A researcher hypothesizes that children will choose to eat cereals in colorful boxes over those in plain boxes. To test this hypothesis, the researcher records the number of bites that 24 children take of a food given to them from colorful boxes versus plain boxes. If the mean difference (colorful boxes – plain packaging) is MD = 13 and SMD = 1.64, then (a) calculate the 95% confidence interval for these related samples and (b) can we conclude that cereals packaged in colorful boxes significantly changes the number of bites that children took compared to plain packaging? Summarize your conclusion in a sentence.
In a random sample of 250 patients, 15 experienced dizziness. A pharmaceutical company claims that fewer than 8% of patients who take its new drug for treating Ebola will experience dizziness. Test this claim at the 0.05 SL and find the confidence interval associated with it.
Question 3 In a random sample of forty-eight 200-metre swims has a mean time of 3.12 minutes and a standard deviation of 0.09 minutes. (a) Construct the 89% confidence interval for the population mean time. (b) If all the other quantities remain the same, how does the indicated change affect the width of the confidence interval? (i) Increase in the sample size (ii) Increase in the level of confidence. Question 4 In a sample of 400 shops it was discovered that 136 of them sold carpets at below the list prices, which had been recommended by manufacturers. (a) Estimate the percentage of all carpet selling shops below list price. (b) Calculate the 95% confidence limits for this estimate.
Question 1 In a random sample of forty-eight 200-metre swims has a mean time of 3.12 minutes and a standard deviation of 0.09 minutes. (a) Construct the 89% confidence interval for the population mean time. (b) If all the other quantities remain the same, how does the indicated change affect the width of the confidence interval? (i) Increase in the sample size (ii) Increase in the level of confidence.
QUESTION 4 Copy of The GPAs of nursing students (p1) were compared to GPAs of student-athletes (p2) were compared. Of a sample of 400 randomly and independently selected nursing students, 75% were placed on honor roll. Of a sample of 100 athletes, 80% of the students were placed on honor roll. Calculated the UPPER bound of the 95% confidence interval for the two samples. Round to the nearest hundredth.
A random sample of size 30 from a normal population yields = 39 and s = 4.9. The lower bound of a 95 percent confidence interval is (Round off upto 2 decimal places).
question 3: A simple random sample of 10 items resulted in a sample mean of 30 . The population standard deviation is 10 . a. Compute the 95 % confidence interval for the population mean. Round your answers to one decimal place.( , ) , ( , ) b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95 % confidence interval for the population mean. Round your answers to two decimal places. ( , ) , ( ,) question 6 Wall Street Journal reported on several studies that show massage therapy has a variety of health benefits and it is not too expensive. A sample of 11 typical one-hour massage therapy sessions showed an average charge of 58 . The population standard deviation for a one-hour session is $5.35 b. Using 95% confidence, what is the margin of error (to 2 decimals)? c. Using 99% confidence, what is the margin of error (to 2 decimals)
Question 1 (10 marks)A surveying company wants to know the average amount of people spent in a trip. A random sample of 8people was taken and their amount of spendings ($) in the previous trip were recorded as follow:8200 8500 4300 5200 5600 7800 2310 10000It is assumed that the amount spent was normally distributed. (a) Construct a 95% confidence interval of the population mean spending in a trip. (b) If the similar survey would be done regularly, each time with the same sample size n = 8. After theconstruction of 50 confidence intervals, each at 95% confidence level, approximately how many suchintervals can successfully include the unknown population mean?
Question 2 - (Please answer both a and b) A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are delivered on time by the Postal Service. b) The manager of the Postal Services claims that 98 percent of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less than 98 percent.
A5) A genetic experiment with peas resulted in one sample of offspring that consisted of 440 green peas and 155 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
QUESTION 3 The GPAs of nursing students (p1) were compared to GPAs of student-athletes (p2) were compared. Of a sample of 400 randomly and independently selected nursing students, 75% were placed on honor roll. Of a sample of 100 athletes, 80% of the students were placed on honor roll. Calculated the UPPER bound of the 95% confidence interval for the two samples. Round to the nearest hundredth.
Question 2: On a particular day, Mobay electronics produced 1000 electric bulbs at a mean production rate of 10 hours. Assume that the known population standard deviation is 2000 hours a. Why do we need a confidence interval? b. Construct a 95% confidence interval for the mean production time of the light bulbs of mobay electronics.

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