The mean balance of all checking accounts at a local bank for July 2020 was P8 500. A random sample of25 checking accounts taken recently from this gave a mean balance of P7 750 with a standard deviationof P1 600. Assume that the balance of all checking accounts at this bank is normally distributed. Usingthe 1% significance level, can you conclude that the mean balance of such accounts has decreased duringthis period?9. What is the appropriate alternative hypothesis?A. μ = 8 500Β. μ < 8 500C. μ > 8500D. μ#8500

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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 2005, 1,475,623 students heading to college took the SAT exam. The distribution of scores in the math section of the SAT follows a normal distribution with mean µ = 520 and standard deviation σ = 115. Calculate the z-score for an SAT score of 720. What math SAT score is 1.5 standard deviations above the mean? For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternative to the SAT math test, and is approximately normally distributed with mean 21 and standard deviation 5.3. If Alexis took the SAT math test and scored 700 and Ted took the ACT math test and scored 30, who did better with respect to the test that each person took? (Alexis or Ted)
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
The Drive-thru lane at Chick-fil-a's mean wait time is 7 minutes with a standard deviation of 2 minutes. 8. If a sample of 10 customers was taken, calculating the mean for each day. The standard deviation for those means would be:
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The warranty on a car battery is 30 months. If the breakdown times of this battery are normally distributed with a mean of 40 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty. what % of batteries can be expected to require repair or replacement under warranty. (Round to two decimal places as needed.)
11).
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 3030 scores from all of the students who took the test. She sees that the mean score is 169169 with a standard deviation of 7.06747.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 1313. Is there evidence that the standard deviation of test scores has decreased at the α=0.005α=0.005 level? Assume the population is normally distributed. Step 1 of 5: State the null and alternative hypotheses. Round to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the…
Suppose Abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. Assume the travel times are normally distributed with a standard deviation of 10.3 min. Determine the travel time ? such that 29.46% of the 60 days have a travel time that is greater than ?. Give your answer rounded to two decimal places.
Consider population data with 5 being the standard deviation, 5 being the mean. Compute an 88.9% chebyshev interval around the population mean
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In a random sample of 6 cell phones, the mean full retail price was 517.30 and standard deviation is 184.00. Further research suggests that the population mean is 425.73. Does the t-value for the original sample fall between -t0.99 and t0.99?

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