An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normallydistributed with a mean of 700 days and a standard deviation of 121. BIG Corporation claims that the standard deviation of its electric bulbs is less than 121.Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis H. and the alternative hypothesis Hthat we would use for this test.Ho: OH₁: 0μX paS0<0

Answered: independent consuffer group stributed…

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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Q1) A job placement director claim that the average starting salary for nurses is more than $24000. Asample of 32 nurses has mean of $24500 and standard deviation of $400. Is there any evidence to rejectthe director’s claim at α= 0.01?
BE SURE TO USE A TI 84 CALCULATOR AND SHOW ALL STEPS/ COMMANDS USED. Conduct a hypothesis test showing all of your steps. In a packing plant, a machine packs jars into boxes. In a random sample of 19 recorded times it took the new machine to pack 10 boxes, the mean was 42.06 seconds with a standard deviation of 0.68 seconds. Inrandom sample of 14 recorded times it took the old machine to pack 10 boxes, the mean was 43.15 seconds with a standard deviation of 0.79 seconds. Can you claim the mean time the new machine packs boxes is lower than the old machine? Test this claim with a 2% level of significance. a) State the hypotheses and label the claim. b) Is the test left-tailed, right-tailed, or two-tailed?c) What is/are the critical value(s)? Draw a picture.d) What is the P-value and test-statistic?e) State the conclusion. Give two reasons for your decision to reject/not reject H0 based on: A. Test statistic compared to critical value B. P-value compared to α. Then, relate back to the…
You'd like to test the null hypothesis that the means of the two samples (column A and column B) are the same. The alternative hypothesis is that they are not the same. You have no reason to believe that the standard deviations of the two samples are equal. Test at the alpha = 0.10 level. After using Excel, what do you conclude? Are the means the same?
Question- "A random sample of 130 human body temperatures has a mean of 98.25◦ F and a standard deviation of 0.73◦ F. A researcher believes that the commonly reported mean body temperature of 98.6◦ F is wrong. In this problem, you will conduct a hypothesis t-test to test the researchers claim and determine if the given data indicates that the average human body temperature is diﬀerent from 98.6◦ F." Need help with- formulate null hypothesis and alternative hypothesis to test if the average human body temperature is diﬀerent from 98.6◦ F
Already did A B and C. Just need help with D
Please help me answer this with complete solution
What is the name of this hypothesis test?A researcher would like to test the effectiveness of a newly developed growth hormone. The researcher knows that under normal circumstances laboratory rats reach an average weight of 950 grams at 10 weeks of age with a standard deviation of 30 grams. A random sample of 65 newborn rats is obtained, and the hormone is given to each rat. When the rats in the sample reach 10 weeks old, each rat is weighed. The mean weight for this sample is 974 grams. Is there enough evidence to show that the mean weight of rats having taken the growth hormone is more than 950 grams?
One method for straightening wire prior to coiling it to make a 6. (Hypothesis Test, 2 spring is called "roller straightening". Suppose that a sample of 30 wires is selected and each is tested to determine tensile strength (N/mm²). The resulting sample mean and sample standard deviation are 2175 and 35, respectively. It is known that the mean tensile strength for spring made using spinner straightening is 2148 N/mm². (1) What is the random variable X in this problem? What does the mean µ of X represent? (2) What null hypothesis and alternative hypothesis should be tested in order to determine if the mean tensile strength for the roller method is better than the mean tensile strength for spinner method? (3) Is this one-tailed or two-tailed test? (4) What test statistic should be used to test the hypotheses? Is a normality assumption of the population necessary? Why? (5) At the significance level a = 0.05, compute the rejection region (RR). (6) Compute the value of your test statistic…
A local chess club claims that the length of time to play a game has a standard deviation of 11 minutes or more. Write sentences describing type and type II errors for a hypothesis test of this claim. A type I error will occur if the actual standard deviation of the length of time to play a game is not equal to 11 minutes, but you reject the null hypothesis, Ho: 02 11 A type Il error will occur if the actual standard deviation of the length of time to play a game is greater than or equal to 11 minutes, but you fail to reject the null hypothesis, Ho o> 11
an IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. find the sample size necessary to estimate the mean IQ score of statistic students such that it can be said with 99% confidence that the sample mean is within 3 IQ points of the true mean. Assume that the standard deviation is 12 and determine the required sample size using technology. then determine if this is a reasonable sample size for a real world calculation
ou can use both the t statistic and the z statistic to test hypotheses about the mean of population. The test that uses the t statistic is typically referred to as a t test, while the test that uses z statistic is commonly called a z test. Which of the following statements are true of the t statistic? Check all that apply. The t statistic does not require any knowledge of the population standard deviation. The t statistic provides an excellent estimate of z, particularly with small sample sizes. The t statistic uses the same formula as the z statistic except that the t statistic uses the estimated standard error in the denominator. The formula for the t statistic is t = (M – μ) / σM
Suppose a sample size of 87 was used to conduct a right tailed hypothesis test for a single population mean. The null |hypothesis was Ho: µ 45 and the sample mean was 50 and the p-value was 0.03. Then there is a 3% chance that 87 randomly selected individuals from a population with a mean of 45 and the same standard deviation would have a sample mean greater than 50. false true

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