7.- A random sample of 50 consumers taste-tested a new snack food. Their responses were coded(0: do not like; 1: like; 2: indifferent) and recorded as follows:10012011000102022001100001020001001001010200110001OptionsFrequency table results for varl:Count - SoFrequency Relative Frequency.0.58varl .29150.30.12a) Use an 80% confidence interval to estimate the proportion of consumers who like the snack food.b) Test Ho: p = 0.50 against H3: p > 0.50, where p is the proportion of customers who do nót like thesnack food. Use a = 0.10.RR =Test statistics =P-value =Answer: CV =Conclusion: Keep H.Reject H,

Solution: Given information: n= 50 Sample size of consumers x = 15 consumers like the snack food .…

Answered: 7.- A random sample of 50 consumers…

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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2. It has been hypothesized that treatments of plastic used in optic lenses will improve wear. Four different treatments are to be tested. To determine whether any differences in mean wear exist among treatments, 28 castings from a single formulation of the plastic were made and 7 castings were randomly assigned to each of the treatments. Wear was determined by measuring the increase in "haze" after 200 cycles of abrasion (better wear being indicated by smaller increases). The data collected are reported in the accompanying table. Treatment BcD A 9.16 11.95 11.47 11.35 13.29 15.15 9.54 8.73 12.07 14.75 11.26 10.00 11.97 14.79 13.66 9.75 13.31 15.48 11.18 11.71 12.32 13.47 15.03 12.45 11.78 13.06 14.86 12.38 83.90 98.65 87.00 76.37 11.986 14.093 12.429 10.910 Is there evidence of a difference in mean wear among the four treatments? Use a= 0.05 [HINT: Total SS = 97.0319 and SST = 36.7497] 2.1 Estimate the mean difference in “haze" increase between treatments B and D, using a 99%…
A data set includes data from student evaluations of courses. The summary statistics are nequals=8585, x overbarxequals=3.423.42, sequals=0.540.54. Use a 0.010.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.503.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
(3.) A system contains components connected in parallel as shown in the diagram. If all components operate inderentently, & each component has probability 0.45 of failing What is the minimum number of components that must be connected in parallel so that th Probability that the system operateds exceeds 0.9999? The minimun number of components that must be connected in parallel is.
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.05. (a) level of significance: .05 | H0: p = 0.77; H1: p < 0.77 (b) The standard normal, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.)
3. The average (or mean) amount of hours spent on social media per day is 2 hours and the standard deviation is 2 hours. Calculate the z scores for the following individual scores: Person 1 (X) = 1 hour, z = Person 2 (X) = 3 hours, z= Person 3 (X) = 4 hours, z=
The proprietor of a greenhouse claims that its pots of lilies average 6.0 buds, with s = 0.4 buds. If n = 29 pots of lilies from a large no of pots of lilies has a mean of 5.8 buds, does this deny the proprietor’s claim of the mean number of buds at 0.015 level of significance?
The brain volumes (cm³) of 20 brains have a mean of 1113.7 cm³ and a standard deviation of 128.9 cm³. Use the give standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1361.5 cm³ be significantly high? 3 Significantly low values are cm³ or lower. (Type an integer or a decimal. Do not round.)
2.) A researcher is interested in the number of words four-year-old children understand in an unfamiliar accent. On average four-year-olds understand an average of μ = 1,500 words with a standard deviation of o = 72 words. A random sample of n-64 four-year-olds complete a study identifying objects labeled in an unfamiliar accent. The sample had a mean score of M = 1485. Does accented speech influence a child's understanding? Test at the a=.05 level. a.) Step 1: State the Hypotheses Ho: H₁: b.) Step 2: Determine the critical region and draw it on the distribution above: Zritical- c.) Step 3: Calculate the test statistics (here: a z-test). Zobserved = d.) Step 4: Make a decision. Circle one: Reject Null (Ho) or Fail to Reject Null (Ho) e.) State your conclusions about the research scenario in sentence form: f.) What is the estimated effect size (Cohen's d) in this study? Do you characterize it as being small, medium or large? d=
2. A principal of high school was concerned with amount of time her students devote to working at after-school jobs. She randomly selected 25 students, obtained their working hours for 1 week and computed x = 12.5 hours and s = 4.5 hours. She claims that her students work significantly more than the mean of 10.7 hours from a study conducted by the National Association of State High School Association. Test her claim by using the 5% level of significance.
17)
The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 16 days. a) In what range would you expect to find the middle 68% of most pregnancies? Between and b) If you were to draw samples of size 38 from this population, in what range would you expect to find the middle 68% of most averages for the lengths of pregnancies in the sample? Between and Enter your answers as numbers. Your answers should be accurate to one decimal places. Submit Question ロI & #3 2$ 6 7 8. 2 3 4 y e d f h づ

9) A group of 40 students in an English class is given a paragraph and asked to memorized as much as possible. Their retention is then measured on a scale from 1 to 99. The contention being tested is that the average student will score 70 on the scale with a standard deviation of 11.62. it is assumed that the distribution of scores is normal. This grouped scores a mean of 66.93. Using the 0.10 level of significance, does this result prove contention? 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:

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