In an article issued by a nutrition magazine, the recommended Vitamin C intakeper day for Filipino female adolescents ages 14 to 18 years old is 75 grams. Aresearcher conducted a survey in Baguio City and selected 25 respondents andmeasured their daily Vitamin C intakes. If the group consumed an average of81 grams per day with a standard deviation of 10 grams per day, is it valid toconclude at 0.05 level of significance, that the female adolescent of this age groupfrom this City consume more than Vitamin C per day than the recommendedconsumption?Identify the appropriate hypotheses.HoiHS81(AHaitH>81Ho:μ=81(BHaid>81HoiHs75Hait>75Ho:μ=75HaiH>75O 46 minutes remaining

We want to find the null hypothesis and alternate hypothesis

Answered: In an article issued by a nutrition…

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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An educational consulting group claims that there is a difference in the mean student loan debt of students who attended private four-year colleges and the mean student loan debt of students who attended out-of-state public four-year colleges. Student loan debt of 10 randomly selected students who attended private four-year colleges and 10 randomly selected students who attended out-of-state public four-year colleges, at the time of graduating college, are recorded. Assume that the population standard deviation of student loan debt is $5,000 for both the private college attendees and the public college attendees, and assume that the distribution of student loan debt is normally distributed for both the private college attendees and the public college attendees. Let the students who attended private four-year colleges be the first sample, and let the students who attended out-of-state public four-year colleges be the second sample. The group conducts a two-mean hypothesis test at the…
The CEO of Global Investment Funds claims that, on average, clients leave their investment funds with the company for a period of at least 56 months. Test this claim at the 10% significance level, if it was found that a sample of 29 clients left their investment funds with the company for an average period of 58.85 months, with a standard deviation of 3.75 months..
Suppose the mean net worth of the resi- dents of Sun City, a retirement community, is $611,000 (Source: The Island Packet). If their net worth is nor- mally distributed with a standard deviation of $96,000,what percent of the residents have net worths between $700,000 and $800,000?
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 19 minutes. For 61 randomly selected runs, bus line B was observed to be off schedule an average of 61 minutes, with standard deviation 17 minutes. Do the data indicate a significant difference in average off-schedule times? Use a 5% level of significance. 1) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to three decimal places.) Estimate the P-value. 2) P-value > 0.500 0.250 < P-value < 0.500 0.100 < P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 P-value < 0.010 3) Sketch the sampling distribution and show the area corresponding to the P-value.
A high-end clothing company wants its garments to have fine stitching, but also for the stitching to be very consistent. The company’s manufacturing standard is a mean of at least 10 stitches per inch, with a standard deviation of no more than 1 stitch per inch. The company needs additional manufacturing capacity and has identified a local sewing shop as a possible supplier. Quality control personnel from the clothing company visited the sewing shop and checked the stitching on a random sample of 40 garments, which are recorded below. Stitches/Inch 11 8 12 10 11 11 11 10 9 9 10 8 9 9 8 8 10 12 8 8 11 7 11 9 12 7 10 10 9 8 10 9 10 11 10 7 12 9 9 9 Question a) For α=.05 , test the alternative hypothesis that the sewing shop does not meet the company’s manufacturing requirement to have a mean of at least 10 stitches per inch. b) For α=.05 , test the alternative hypothesis that the sewing shop does not…
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 17 minutes. For 60 randomly selected runs, bus line B was observed to be off schedule an average of 62 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? single mean or paired difference or difference of means or difference of proportions or a ingle proportion What is the level of significance?State the null and alternate hypotheses. H0: ?1 ≠ ?2; H1: ?1 = ?2 H0: ?1 = ?2; H1: ?1 ≠ ?2 H0: ?1 ≤ ?2; H1: ?1 > ?2 H0: ?1 ≥ ?2; H1: ?1 < ?2 What sampling distribution will you use? What assumptions are you making? a.The standard normal. We assume that both…
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…

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