The average height of students in a freshman class of a certain school has been 165.83 cm with a population standard deviation of10.57 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 50 students in thepresent freshman class has an average height of 168.18 cm? Use a 0.05 level of significance."No, there is no sufficient evidence to say that the height of the freshmen students changed based on empiricalevidence because the calculated z is not in the critical region.""Yes, there is sufficient evidence to believe that the height of the freshmen students changed based on empiricalevidence because the calculated z is not in the critical region.""No, there is no sufficient evidence to say that the height of the freshmen students changed based on empiricalevidence because the calculated z is in the critical region.""Yes, there is sufficient evidence to believe that the height of the freshmen students changed based on empiricalevidence because the calculated z is in the critical region."

For the given data Perform z test for one mean

Answered: he average height of students in a…

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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In 2018, a study was conducted that stated that the average commute time to work for Kern County residents was 22.6 minutes. Suppose you were hired to determine if the average commute time is different than it was in 2018. You randomly sample 87 individuals who commute to work from Kern county and you find that their average commute time was 20.8 minutes and you find the standard deviation of commute times for those 87 individuals was 3.6 minutes. Carry out the appropriate hypothesis test at the a = 0.05 level of significance to determine if the average commute time differs from what it was in 2018.
A credit bureau analysis of undergradute students' credit records found that the average number of credit cards in an undergraduate's wallet was 4.9 ("Undergradute Students and Credit Cards in 2004," Nellie Mae, May 2005). It was also reported that in a random sample of 121 undergradute, the sample mean number of credit cards that the students said they carried was 2.6. The sample standard deviation was not reported, but for purpose of this exercise, suppose that is was 1.2. Test a hypothesis to check whether there is convincing evidence for the mean number of credit cards that undergradutes report carrying is less than the credit card bureau's figure of 4.09, with a significance level α = 0.01
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.168.16 and a standard deviation of 1.511.51. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.679.67? Please do not round your answer.
A comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time. For 51 randomly selected runs, bus line A was observed to be off schedule an average time of 53 minutes, with standard deviation 15 minutes. For 60 randomly selected runs, bus line B was observed to be off schedule an average of 60 minutes, with standard deviation 11 minutes. Do the data indicate a significant difference in average off-schedule times? Use a 5% level of significance. What are we testing in this problem? difference of proportionsdifference of means single meanpaired differencesingle proportion (a) What is the level of significance?State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 < ?2H0: ?1 = ?2; H1: ?1 ≠ ?2 H0: ?1 > ?2; H1: ?1 = ?2H0: ?1 = ?2; H1: ?1 > ?2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that both population…
A new computer chip design(A) is being compared to the current design(B).Fifty independent chips of each design are tested for speed at performing a certain task. The new computer chip (A) performed the task in 481.2 ms, on average, with a sample standard deviation of 14.3 ms. The current computer chip (B) performed the task in 495.6 ms, on average, with a sample standard deviation of 16.4 ms. Can you conclude, at a 5% significance level, that chip A performs this task faster than chip B?
An interested citizen wanted to know if Democratic U. S. senators are older than Republican U.S. senators, on average. On May 26 2013, the mean age of 30 randomly selected Republican Senators was 61 years 247 days old (61.675 years) with a standard deviation of 10.17 years. The mean age of 30 randomly selected Democratic senators was 61 years 257 days old (61.704 years) with a standard deviation of 9.55 years. Do the data indicate that Democratic senators are older than Republican senators, on average? Test at a 5% level of significance. a. At the 5% level of significance, from the sample data, there is NOT sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators. b. At the 5% level of significance, from the sample data, there is sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators.
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
A sample of 45 adult men from Lahug showed that the mean time they spend working from home is 28.50 hours per week with a standard deviation of 4 hours. Another sample of 40 adult men from Pardo showed that the mean time spent by them working from home is 23.25 hours per week with a standard deviation of 5 hours. Using a 2.5% significance level, can you conclude that the mean time spent working from home by adult men in Lahug is greater than that for adult men in Pardo? Assume that the standard deviations for the two populations are equal.
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The BDHS reported that the mean cholesterol level in 2020 for all adults was 203 in a certain area. Around a sample of 3,310 participants were questioned about the cholesterol levels who attended the last month survey and it is found that mean cholesterol level is 200.3 with a standard deviation of 36.8. Is there any statistical evidence of a difference in mean cholesterol levels in that area? Conduct the test at 1% level of significance. a. Which of the following statistical tests is most appropriate in this scenario? Two-Tailed Z-Test One-Tailed Z-Test Two-Tailed T-Test One-Tailed T-Test b. What are the appropriate hypotheses for the test? Но : д — 203 Н : д + 203 Но : д + 203 Н] :д — 203 Но : и — 200.3 Ні : д > 200.3 Ho : µ = 200.3 H1 : µ < 200.3 C. After conducting the appropriate significance test, the test statistic was found to be -4.22. Therefore, the conclusion for the test is: Reject Ho, because p-value is less than 0.01 Fail to reject Ho, because -4.22 falls outside the…

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