Bowker and Lieberman (1972) gave the results for tests of two thermostats usedin irons that were made by an old supplier and a new supplier. 18 thermostatswere sampled from the old supplier and 21 thermostats were sampled from thenew supplier. The actual temperatures measured with a thermocouple and wererecorded. The sample from the old supplier had a mean of x₁ =549.8 and astandard deviation of s₁=9.6. The sample from the new supplier had a mean ofx₂=550.4 and a standard deviation of s2=11.2. Determine the value of thepooled standard deviation SpSp =...(Record to two decimal places.)4

Suppose μ1 and μ2 denote the population mean temperatures measured with old supplier and new…

Answered: Bowker and Lieberman (1972) gave the…

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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Suppose that an independent research company was tasked with testing the validity of complaints against a pesticide manufacturing firm for under-filling their 20 lb bags of pesticide. Past experience has shown that the amount of pesticide dispensed by the machines that fill the bags follows a normal distribution with a mean of 20 lb and a standard deviation of 0.6 lb. To verify the validity of the complaints, a researcher randomly selected 16 of the firm's 20 lb pesticide bags and recorded the following weights. 19.69, 19.5, 18.85, 18.56, 20.23, 20.3, 20.14, 19.11, 19.65, 18.87, 19.22, 19.24, 18.82, 20.23, 20.46, 18.66 The mean weight of the 16 bags collected was 19.471 lb. Calculate the value of the one-sample z‑ statistic. Give your answer precise to three decimal places.
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4 years and a standard deviation of 0.5 years. He then randomly selects records on 45 laptops sold in the past and finds that the mean replacement time is 3.8 years.Assuming that the laptop replacement times have a mean of 4 years and a standard deviation of 0.5 years, find the probability that 45 randomly selected laptops will have a mean replacement time of 3.8 years or less.P(M < 3.8 years) = I got .0037 before but apparenly it is wrong so I would like to know what I did wrong and the correct answer. Thank you. Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The inspection division of the Lee Country Weights and Measures Department are interested in estimating the population mean of the amount of soft drink that is placed in 2 quart battles at the local bottling plant of a large nationally known soft-drink company. A random sample of 25 bottles is taken and results in a sample mean of 1.98 quarts and a sample starndard deviation of 25 quarts. Construst/interpret a 95% interval for population mean amount of soft drink in the bottles
The stimulant Ritalin has been shown to increase attention span and improve academic performance in children with ADHD (Evans, Pelham, Smith, et al., 2001). To demonstrate the effectiveness of the drug, a researcher selects a sample of n = 25 children diagnosed with the disorder and measures each child’s attention span before and after taking the drug. The data show an average increase of attention span of MD = 6.8 minutes with a standard deviation of s = 5.5. Is this result sufficient to conclude that Ritalin significantly increases attention span? Use a one-tailed test with α = .01. Compute and interpret r2.
It takes an average of 13.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 67 injured patients to immediately tell the truth about the injury and noticed that they averaged 15.7 minutes for their blood to begin clotting after their injury. Their standard deviation was 4.88 minutes. What can be concluded at the the αα = 0.05 level of significance? The null and alternative hypotheses would be: H0=? H1=? The test statistic = ? (please show your answer to 4 decimal places.) The p-value =? (Please show your answer to 5 decimal places.)
It takes an average of 12.9 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 47 injured patients to immediately tell the truth about the injury and noticed that they averaged 11.2 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.79 minutes. What can be concluded at the the αα = 0.10 level of significance?
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players' salaries and 35 football players' salaries is selected. The mean salary is determined for both samples. Let i,-i, represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ī, -i,? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30
A scientist wants to establish if the Mississippi’s river height has increased using data from 1970 and 2020. Historically, it’s known that the variance of the height within any given year is 4.5ft. The sample from 1970 has 80 measurements with ?1μ1 = 30ft and the sample from 2020 has 260 measurements with ?2μ2 = 31.5ft. Find a 95% confidence interval for the average increase of height.
It takes an average of 13.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 47 injured patients to immediately tell the truth about the injury and noticed that they averaged 13.6 minutes for their blood to begin clotting after their injury. Their standard deviation was 5.48 minutes. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly different from 13.8 at αα = 0.10, so there is statistically…
Suppose that an independent research company was tasked with testing the validity of complaints against a pesticide manufacturing firm for under-filling their 20 lb bags of pesticide. Past experience has shown that the amount of pesticide dispensed by the machines that fill the bags follows a normal distribution with a mean of 20 lb and a standard deviation of 0.6 lb. To verify the validity of the complaints, a researcher randomly selected 16 of the firm's 20 lb pesticide bags and recorded the following weights: 20.16, 20.41, 19.96, 20.32, 18.69, 18.68, 18.6, 19.11, 18.9, 18.75, 19.29, 19.61, 19.31, 20.44, 19.52, 19.98. The mean weight of the 16 bags collected was 19.483 lb. Calculate the value of the one-sample ?z‑ statistic. Give your answer precise to three decimal places.
At a local store, 65 female employees were randomly selected and it was found that their mean monthly income was $625 with a standard deviation of $121.50. Seventy-five male employees were also randomly selected and their mean monthly income was found to be $667 with a standard deviation of $168.70. Test the hypothesis that male employees have a higher monthly income than female employees. Use α = 0.01.
The amount of time it takes students to travel to school can vary greatly depending on how far a student lives from the school and what mode of transportation they take to school. A student claims that the average travel time to school for his large district is 20 minutes. To further investigate this claim, he selects a random sample of 50 students from the school and finds that their mean travel time is 22.4 minutes with a standard deviation of 5.9 minutes. He would like to conduct a significance test to determine if there is convincing evidence that the true mean travel time for all students who attend this school is greater than 20 minutes. What are the appropriate hypotheses? A) H0: μ = 20 versus Ha: μ < 20, where μ = the true mean travel time for all students who attend this school B) H0: μ = 20 versus Ha: μ > 20, where μ = the true mean travel time for all students who attend this school C) H0: μ = 20 versus Ha: μ < 20, where μ = the mean travel time for the 50…

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