Blood glucose levels Tar obese patients have a mean of 100 with a standard deviation of 17. A researcherthirks that a diet high in raw cornstarch will have a positive ar negative effect on blood glucose levels. Asample of 30 patients who have tried the raw comstarch diet have a mean glucose level of 145.i. What would the null and alternative hypotheses be for this scenario?i. What would the standard error be for this particular sceraria?ii. Describe in your own words how you would set the critical regions and what they would beat analpha level of.05.iv. Test the null hypothesis and explain your decision

Given The data is as follows: Population mean, μ=100 Population standard deviation, σ=17 Sample…

Answered: Blood glucose levels Tar obese patients…

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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The yield per tract in a certain region of farmland is known to have a populationstandard deviation of 13 bushels. Using the old seed variety, the population mean yield μwas 39 bushels. A farmer tests a new seed variety on a random sample of 36 tracts, andfinds a sample mean yield of 45.2 bushels. Is the population mean yield using the newseed variety different from 39? Use α= 0.10.a. State the null hypothesis . __________________State the alternative hypothesis.____________________b. Find the test statistic. _____ c. Find the P-value for the test. _____________
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.4 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 1090 samples is 4.3 ppm. Assume the variance is known to be 1.44. Does the data support the claim at the 0.05 level? Step 1 of 5: Enter the hypotheses: Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Step 3 of 5: Specify if the test is one-tailed or two-tailed. Step 4 of 5: Enter the decision rule. Step 5 of 5: Enter the conclusion.
Suppose a golfer claims that her drive distance is not equal to 232 meters, on average. Several of her friends do not believe her, so the golfer decides to do a hypothesis test, at a 10% significance level, to persuade them. She hits 21 drives. The mean distance of the sample drives is 239 meters. The golfer knows from experience that the standard deviation for her drive distance is 15 meters. H0: μ=232; Ha: μ≠232 α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
In order to test the claim that the mean drive speed (Km/hr) of adults in a known highway in a city is at most 75 Km/hr, a sample of 40 adult drivers was taken and resulted a sample mean of 85 Km/hr. If the population standard deviation is 35 Km/hr, perform the test with a level of significance a = 0.05 using the P-value approach. 1. The mull and alternative hypotheses are A. Ho : u 75 and H : u 75 D. Ho : 2 75 and H, : p< 75 2. Test statistic value = (approximate to two decimal places) D. 1.81 A. -1.81 B. 0.29 C. 0.29 3. P-value = A. 0.0702 (approximate to four decimal places) B. 0.1404 C. 0.9298 D. 0.0351 4. The decision of the test: A. Reject Ho, there is a strong evidence that the adults mean drive speed is less than 75 Km/hr. B. Do not reject Ho, there is no evidence that the adults mean drive speed is more than 75 Km/hr. C. Reject Ho, there is a strong evidence that the adults mean drive speed is more than 75 Km/hr. D. Do not reject Ho, there is a strong evidence that the adults…
Use the data and table below to test the indicated claim about the means of two populations. Assume that the two samples are independent simple randor samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Make sure you identify all values. An Exercise Science instructor at IVC was interested in comparing the resting pulse rates of students who exercise regularly and the pulse rates of those who de not exercise regularly. Independent simple random samples of 16 students who do not exercise regularly and 12 students who exercise regularly were selected and the resting pulse rates (in beats per minute) were recorded. The summary statistics are presented in the table below. Is there compelling statistical evidence that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use a significance value of 0.05. Two-Sample T-Test Sample…
The mean annual tuition and fees for a sample of 8 private colleges was $30,000 with a standard deviation of $4500. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $34,100. State the null and alternate hypotheses. O H;:µ = 34,100, H̟: µ# 34,100 O H;iH# 34,100, H̟: µ = 34,100 O H;:H = 30,000, H,: µ# 30,000 O H;iH = 34,100, H.: µ = 30,000
Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag. Assume net weights are Normally distributed. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses Ho: µ= 14 versus Ha: µ<14. To do this, he selects 16 bags of tortilla chips of this brand at random and determines the net weight of each. He finds a sample mean of 13.88 ounces with a standard deviation of s test statistic? 0.24 ounces. What is the value of the A) t=-0.50 В) t%3D-2.00 C) t=-8.00 D) t=-8.33
Claim: The mean systolic blood pressure of all healthy adults is less than than 120 mm Hg. Sample data: For 276 healthy adults, the mean systolic blood pressure level is 119.61 mm Hg and the standard deviation is 14.88 mm Hg. The null and alternative hypotheses are Ho: μ = 120 and H₁: μ< 120. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.) C
Claim: The mean systolic blood pressure of all healthy adults is less than 125 mm Hg. Sample data: For 261 healthy adults, the mean systolic blood pressure level is 121.18 mm Hg and the standard deviation is 15.97 mm Hg. a. Express the original claim in symbolic form. Let the parameter represent a value with respect to systolic blood pressure of a healthy adult. B. Identify the null and alternative hypotheses.
Read each situation and perform the appropriate test of hypothesis for the one sample mean z-test and t-test. 2. A manufacturer claims that their car batteries have a mean life expectancy of 6 years with a population standard deviation of 1.75 years. In order to test its own claim, a random sample of 35 batteries were tested and it was found out their mean life span is 5. 5 years. Is there evidence at the 0.01 level of significance that the batteries become exhausted in less than 6 years?
The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148
Jolyn, a golfer, claims that her drive distance is not equal to 222 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She hits 11 drives. The mean distance of the sample drives is 218 meters. Jolyn knows from experience that the standard deviation for her drive distance is 14 meters. H0: μ=222; Ha: μ≠222 α=0.05 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

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