3) Powder milk is packed in 1-kilogram bag. An inspector from the Department of Trade andIndustry (DTI) suspects the bags may not contain 1 kilogram. A sample of 40 bags produces amean of 0.96 kilograms and a standard deviation of 0.12 kilograms. Is there enough evidence toconclude that the bags do not contain 1-kilogram as stated at a = 0.05.Solution:I.Statement of the Hypothesis:Но:H1II.Statistical Test:IIILevel of Significance and Critical Value:IV.Computed value of Z:V.Conclusion:

Answered: Image /qna-images/answer/9b2a6741-59fa-4954-9bb9-e6486ca2922b.jpg

Answered: (DTI) suspects the bags may not contain…

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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A nutritionist claims that the mean tuna consumption by a person is 3.6 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.4 pounds per year. Assume the population standard deviation is 1.01 pounds. At a= 0.05, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. О В. Но и>3.6 H3 µs 3.6 O C. Ho p>3.4 H, µs34 O A. Ho: us3.4 Ha u> 3.4 O D. Ho: Hs3.6 Ha: > 3.6 O E. Ho = 3.6 H3 µ#3.6 O F. Ho H 3. 4 Hạ p = 3.4
The average size of a farm in one county is 162 acres with a standard deviation of 38 acres. The average size of a farm in a second county is 182 acres with a standard deviation of 16 acres. Assume the data were obtained from two samples that had 30 farms each. Can it be concluded that the average size of the farms in the two counties is different? (Let α = 0.05) First , choose which hypothesis statements is correct. T-stat = Round to 2 decimal places. P-value = Decision: Type Retain Ho or Reject Ho
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 40 drivers over the age of 60 and finds that the mean number of miles driven is 22.7. The population standard deviation is 2.9 miles. At =α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis.
A sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.
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…
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.8and a standard deviation of 61.5. (All units are 1000 cells/μL.)Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 124.8 and 370.8? b. What is the approximate percentage of women with platelet counts between 63.3 and 432.3?
The braking ability was compared for two car models. Random samples of two cars were selected. The first random sample of size 64 cars yield a mean of 36 and a standard deviation of 8. The second sample of size 64 yield a sample mean of 33 and a standard deviation of 8. Do the data provide sufficient evidence to indicate a difference between the mean stopping distances for the two models? Use Alpha= 0.01. Ho: µ1 – µ2 = 0 vs. Ha: µ1 – µ2 + 0 .p-value = 0.0017. Reject Ho Но: Д, — м2 — 0 vs. Ha:M1 — M2 + 0. p-value — 0.034. Ассеpt Ho O Ho:µ1 – Hz Но: И — 2 — 0 vs. Ha:M, — нz + 0. p-value —D 0.0017. Ассept Ho Ho: H1 – U2 = 0 vs. Ha: µ1 – µ2 + 0. p-value = 0.034. Reject Ho
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 250.6 and a standard deviation of 62.8. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2? b. What is the approximate percentage of women with platelet counts between 62.2 and 439.0? a. Approximately % of women in this group have platelet counts within 2 standard deviations of the mean, or between 125.0 and 376.2. (Type an integer or a decimal. Do not round.) b. Approximately % of women in this group have platelet counts between 62.2 and 439.0. (Type an integer or a decimal. Do not round.)
Assume that the body mass index (BMI) of all American young women follows a Normal distribution with standard deviation σ = 7.5. How large a sample would be needed to estimate the mean BMI μ in this population to within ±1 with 95% confidence? (Enter your answer as a whole number.)
4) A researcher claims that 20 years old women on a special diet will have an average weight of 110 pound. A sample of 15 women has an average weight of 112.5 pounds and a standard deviation of 5 pounds. At a = 0.01, can the claim be rejected? Solution: I. Statement of the Hypothesis: Но H1 II. Statistical Test: III. Level of Significance and Critical Value: IV. Computed value of Z: V. Conclusion:
(b) The weight, in grams, of red beans in a can is normally distributed with mean u and standard deviation 7.6. Given that 5% of cans contains less than 200g, determine; (i) The value of µ. (ii) The percentage of cans that contains more than 225 g of beans. A factory produces two types of artificial lamp A and B. The mean durability of artificial lamp A is 850 hours and its standard deviation is 40 hours. While, mean durability of artificial lamp B is 820 hours and its standard deviation is 60 hours. Find the probbality of 35 artificial lamp A will have mean durabilirty at least 25 hours more than 45 artificial lamp B. (c)

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