A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box ofcercal is supposed to contain 12 ounces of cereal A random sample of 49 boxes is tested. The sampleaverage weight is 11.68 ounces and the sample standard deviation is 0.70 ounces. Use the critical valueapproach to test whether the population average weight of a cereal box differs from 12 ounces. The level ofsignificance is set to 5%.2. Let u be the population average weight of the cereal box. The null and alternative hypotheses should be:Ο Ημ > 12, Hs μ< 12None of the other3Ho: u<12, Ha: u > 12.O Ho: u12, H. u- 12.

According to the given information that Each box of cereal is supposed to contain12 ounces of cereal…

Answered: A cereal manufacturer is concerned that…

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 engineer has designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.5 pounds/square inch. The valve was tested on 7 engines and the mean pressure was 7.0 pounds/square inch with a standard deviation of 0.7. Is there evidence at the 0.025 level that the valve performs below the specifications? Assume the population distribution is approximately normal.
Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test for a difference between the measurements from the two arms. Identify the test statistic and p-value. Right arm Left arm 144 167 OA.T-3.07, p-value = 0.037 OB. T = -2.32, p-value = 0.081 OC. T = -1.93, p-value = 0.127 OD. T = -4.01, p-value = 0.016 133 161 132 179 138 145 136 144
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about µ = 28 ml/kg with a standard deviation of 4.75ml/kg. Red blood cells volume that is too low or too high can indicate a medical problem. Suppose he does a hypothesis test with a significance level of 0.01. Roger has had seven blood tests and the red blood cell volumes were: 32 25 41 35 30 37 29 Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong. Symbolically, the null and hypotheses are as follows Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg What value of the test statistic (z) should he report? (Sampling a Normal Distribution for the Mean µ) Group of answer choices a. 0.99 b.2.42 c.2.62 d.2.22
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 64 bolts. The sample mean bolt length was 14.08 centimeters. The population standard deviation is known to be factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 64 bolts. The sample mean bolt length was 14.08 centimeters. The population standard deviation is known to be σ=0.23 centimeters. What is the test statistic z? What is the p-value? Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of α=0.1?
Total blood volume (in ml) per body weight is important in medical research. For healthy adults, the red blood cell volume mean is about 34 ml/kg. Red blood cell that is too low or too high can indicate a medical problem. Suppose that Roger has 20 blood tests and the mean is 35.4 ml/kg. Suppose that red blood cell volume follows normal distribution with standard deviation 2.34 ml/kg. With 5% significance level, test that the mean blood cell volume is different from 28ml/kg. Which test to use? a.) None of the answer choices b.) T-test for the Mean c.) T-test for Proportion d.) Z-test for the Mean e.) Z-test for Proportion
Aspirin is packed in 120 tab bottles with weight normally distributed with mean 600g and standard deviation 6g. Rejected bottles are those whose weight differs from the mean weight by 15g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 5000 bottles. 1,Do we have to calculate one z-score or two z-scores? 2. The negative z-score is 3. The positive z-score is 4.How many bottles, of the 5000, do we anticipate to have to reject?
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, u, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 35 hours and that the standard deviation is 3 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? v the hypothesis that u is ? ? v. when, in Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?
A study is done to determine which of two soft drinks has more sugar. There are 25 cans of Beverage A in the researchers' sample and 15 cans of Beverage B. The mean amount of sugar in Beverage A is 34.7 grams per can with a sample standard deviation of 0.7 grams. The mean amount of sugar in Beverage B is 33.9 grams with a standard deviation of 0.6 grams. The researchers believe that Beverage A has less sugar than Beverage B, on average. Both populations are normally distributed. Conduct a hypothesis test using a 2% level of significance. Step 1: State the null and alternative hypotheses. Ho:µA – µB 2V Ho:HA - HB V test.) (So we will be performing a left-tailed forum
Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm Left arm 143 179 OA. Ho: H0 H₁: Hd=0 OC. Ho: P = 0 H₁: Hd 0 sufficient evidence to support the claim of a difference in measurements between the two arms.

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