Claim: The standard deviation of pulse rates of adult males is less than 10 bpm. For arandom sample of 127 adult males, the pulse rates have a standard deviation of 9.2bpm. Complete parts (a) and (b) below.a. Express the original claim in symbolic form.b. Identify the null and alternative hypotheses.

Answered: Image /qna-images/answer/591c7afb-017b-4a03-84d9-c5e47d0f95ec.jpg

Answered: Claim: The standard deviation of pulse…

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 breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2200 pounds. with a standard deviation of 183.5. A consumer protection agency claims that the actual standard deviation is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis H and the alternative hypothesis H, they would use for this test. H, :0 p O
Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.05 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. OA. Ho: H₁ H₂ H₁: Hy > H₂ OC. Ho: H₁ H₂ H₁: Hy > H₂ The test statistic is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) C State the conclusion for the test. B.…
A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 33 families from a rural area and finds that they have an average income of $67042 with a population standard deviation of $504. He then selects 55 families from a urban area and finds that they have an average income of $65999 with a population standard deviation of $770. Perform a hypothesis test using a significance level of 0.05 to test his claim. Let rural families be sample 1 and urban familis be sample 2. The correct hypotheses are: HA: H > H2 1„(claim) Ho : 41 2 H2 (claim) > It : 'H H, : H1 = H2 4„(claim) Since the level of significance is 0.05 the critical value is 1.045 The test statistic is (round to 3 places) The pvalue is: (round to 3 places) The decision can be made to: reject H, do not reject H, The final conclusion is that: There is enough evidence to reject the claim that the average income of rural…
Type an integer or decimal, do not round.
A fast-food chain claims one large order of its fries weighs 170 grams. Joe thinks he is getting less than what the restaurant advertises. He weighs the next 12 random orders of fries before he eats them and finds the sample mean is 165.9 grams and the standard deviation is 11.98 grams. What conclusion can be drawn at a = 0.10? O There is not sufficient evidence to prove the fast-food chain advertisement is true. O There is sufficient evidence to prove the fast-food chain advertisement is false. ◇ Joe has sufficient evidence to reject the fast-food chain's claim. ○ Joe does not have sufficient evidence to reject the fast-food chain's claim. O There is not sufficient data to reach any conclusion.
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A simple random sample of 2525 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.419.4 mg and a standard deviation of 3.143.14 mg. Use a 0.050.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.121.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters? What are the hypotheses? A. Upper H 0H0: muμgreater than>21.121.1 mg Upper H 1H1: muμless than<21.121.1 mg B. Upper H 0H0: muμequals=21.121.1 mg Upper H 1H1: muμgreater than or equals≥21.121.1 mg C. Upper H 0H0: muμless…
Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let 41 = mean before workout. before 70 68 69 74 72 67 61 after 73 69 76 76 72 71 63 Select the correct Hypotheses: Ho: Ha 12 Ho:1 = µ2 Ho:Hd = 0 Ho:µd >0 Ha:Ha > 0 Ha:H1 > H2 Ha:i < µ2 Ha:µ1 + µ2 Ha:Hd # 0 Ha:µd <0 Test Statistic = [three decimal accuracy] p-value = [three decimal accuracy] Conclusion: O Fail to Reject Ho O Reject Ho Interpret the conclusion in context: O There is not enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30
Numbers 6-7, please. Thank you
a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs gave a mean diameter, ?̅ = 14.9 mm and a standard deviation, s = 1.33 mm. A test was carried out at the 5% level of significance to determine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. State, in symbols, the null and alternate hypotheses for this test. ii. State, with reasons, whether a t-test or a z-test will be appropriate. iii. (Determine the rejection region(s) of the test. iv. Calculate the value of the test statistic. v. State, with reason, a valid conclusion for the test.
Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. OA. Ho: H₁1 H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic is 0.20. (Round to two decimal places as needed.) The P-value is 0.423. (Round to three decimal places as needed.) State the conclusion for the…
A manager is interested in determining if the population standard deviation has dropped below 103. Based on a sample of n = 27 items selected randomly from the population, conduct the appropriate hypothesis test at a 0.10 significance level. The sample standard deviation is 69. O D. Họ: o = 103 HA:o # 103 State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to four decimal places as needed.) O A. If the test statistic, x>x212 =, reject H, or if the test statistic, x x = reject Ho. Otherwise, do not reject Ho- OC. If the test statistic, x
Suppose you wish to conduct a test of the research hypothesis that the median of a population is greater than 78. You randomly sample 15 measurements from the population and determine that 10 of them exceed 78. Set up and conduct the appropriate test of hypothesis at the 0.10 level of significance. Be sure to specify all necessary assumptions. What are the null and alternative hypotheses for this hypothesis test? A. Ho: n = 78 Ha: 178 C. Ho: n=10 Ha:n> 10 Ε. Ηρ:η=78 Ha:n78 Ho: n=10 Hg: η < 10 OF. Ho: n = 10 Ha: 110

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