Using the p-value method, we reject the null hypothesis if the p-value is than or equal to the level of significance. 4) (Consider Ho: u=75 versus H1: µ<75. A random sample of 16 observations taken from thi population produced a sample mean of 73.2. The population is normally distributed with o=6 a) Calculate the test statistic (round to two decimal places) b) Use z-table or technology to get the p-value (round to four decimal places) 5) Consider H u-56 versus Hy ut56 A random sample of 25 observations taken from this

Using the p-value method, we reject the null hypothesis if the p-value is than or equal to the level of significance. 4) (Consider Ho: u=75 versus H1: µ<75. A random sample of 16 observations taken from thi population produced a sample mean of 73.2. The population is normally distributed with o=6 a) Calculate the test statistic (round to two decimal places) b) Use z-table or technology to get the p-value (round to four decimal places) 5) Consider H u-56 versus Hy ut56 A random sample of 25 observations taken from this

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Description: Using the p-value method, we reject the null hypothesis if the p-value isthan or equal to the level of significance.4) (Consider Ho: u=75 versus H1: µ<75. A random sample of 16 observations taken from thispopulation produced a sample mean of 73.2. T

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 automatic filling machine is used to fill bottles with liquid detergent. A random sample of 20 bottles results in a sample variance of fill volume of s2 = 0.0153 (fluid ounces) 2. If the variance of fill volume exceeds 0.01 (fluid ounces)2, an unacceptable proportion of bottles will be underfilled or overfilled. Using a level of significance of 0.05, and assuming that fill volume has a normal distribution, answer the following questions. If χ2critical = 30.14, is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled bottles?
A research team conducted a study of VARIABILITY in students' test performance. Researchers assume that individual records are normally distributed with unknown mean and variance. They collected a sample of n = 25 test scores with summaries shown below. Sample Mean = X = 75.2 and Sample SD = S = 15 Estimate the POPULATION VARIANCE with confidence C = 0.99 • Show critical values needed • Evaluate the upper and lower confidence limits. UCL = LCL = Solution
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The claim is that for 10 AM body temperatures of males, the mean is less than 98.6°F. The sample size is n=39 and the test statistic is t=−4.041. Use technology to find the P-value. Based on the result, what is the final conclusion? Use a significance level of 0.01. Question content area bottom Part 1 State the null and alternative hypotheses. H0: μ ▼ greater than> less than< not equals≠ equals= enter your response here H1: μ ▼ greater than> less than< less than or equals≤ not equals≠ equals= greater than or equals≥ enter your response here (Type integers or decimals. Do not round. Do not include the degree symbol in your answer.) Part 2 The test statistic is enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to three decimal places as needed.) Part 4 Based on the P-value, there ▼ is is not sufficient evidence at a significance level of 0.01 to…
Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 104.5 with a standard deviation of 13.6. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: µ= 100 versus H,: µ> 100. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 100. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 100. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 100. O D. The director is testing if the sample provided sufficient…
A population of values has a normal distribution with u = 94.8 and o = 16. You intend to draw a random sample of sizen = 76. Find the probability that a sample of size n = 76 is randomly selected with a mean greater than 100.3. P(M > 100.3) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- Scores rounded to 3 decimal places are accepted. Submit Question % & 3 4. 7 9. e y 00 %24 CU
A population has parameters μ = n = 191. 49.2 and o= = 55.3. You intend to draw a random sample of size What is the mean of the distribution of sample means? fx = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) Ox =
The random variable, x is a water quality parameter, suspended solids with units of parts per million (ppm). A sample size of 60 yields a mean of 59.87 ppm, and a standard deviation of 12.5 ppm. Water quality criteria requires that the suspended solids do not exceed a mean, µ, = 50 ppm . Test the hypotheses H.: u = µ, vs. HA: u > H. (right-tailed test) at a level of significance of 5 % and assume the pop variance is known.
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