If an in-control process follows a normal distribution as x~N(100,2²). The process is monitored by a control chart with the probability limits of p = 0.025 and sample size of 4, (a) What is Type I error rate? (b) What are the control limits and center line? (c) What is Type II error rate if the processes mean increases by one standard deviation?
Q: How did we get 85.89 and 0.1235 using a calculator to get the correct answer? Thanks!
A: Population mean, μ=80 Population standard deviation, σ=7
Q: The time it takes a person to complete the game Loop Hero follows a normal distribution with a mean…
A:
Q: The red blood cell counts (in millions of cells per microliter) for a population of adult males can…
A: From the provided information, Mean (µ) = 5.6 million cells per microliter Standard deviation (σ) =…
Q: Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a…
A: Empirical rule: The probability that the observation under the normal curve lies within 1 standard…
Q: If the weight (in pounds) of fish in my pond is normally distributed with mean 8 and standard…
A: Let "X" be the weight (in pounds) of fish in my pond
Q: (d) The probability that a randomly selected hybrid gets less than 45 miles per gallon is (Round to…
A: X follows a Normal distribution with mean = 57 and S.D = 3.5 Then z=(x-mean)/SD = (x-57)/3.5…
Q: e mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…
A: Given that. X~N( μ , ? ) μ=57 , ?=3.5 Z-score =( x - μ )/? NOTE:- According to bartleby…
Q: What is the method of random sampling is used? Suppose the training heart rates of all 20-year-old…
A: Hey there.! thank you for posting your quesiton. Hope you're doing well.
Q: The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the gasoline mileage is…
A: As per our guidelines we are suppose to answer only three sub parts. Given,mean(μ)=56standard…
Q: The reaction time to a certain psychological experiment is considered to be normally distributed…
A: Note: Thank you for the question. For the calculation, we are using mean as 20 seconds and standard…
Q: Consider an employee performance test scored from 0-50 points, with mean score of 25 points, a…
A: Given, mean (μ)= 25 Standard deviation (SD)= 5 We have to find z score for an employee who receives…
Q: Because of staffing decision , managers of the a certain hotel are interested in the variability in…
A:
Q: A pathological video game user (PVGU) is a video game user that averages 31 or more hours a week of…
A: Here use binomial theorem P = 0.09 q = 0.91 n = 5
Q: The finish times for marathon runners during a race are normally distributed with a mean of 195…
A: Given,mean(μ)=195standard deviation (σ)=25
Q: The number of customers served at a busy restaurant on Wednesdays follows a Normal distribution with…
A:
Q: Glucose levels in patiebts free of diabetes are assumed to follow a normal distribution with a mean…
A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…
Q: Auto Corporation produces auto batteries. The company claims that its NEVER DIE batteries are good…
A: One sample t -test: The one sample t -test is used to determine whether the mean of sample differs…
Q: When calculating an ANOVA, if the research hypothesis is in fact true, then. variance due to group…
A:
Q: Factory produces whiteboard markers. The production process can be modelling by normal distribution…
A: According to bartleby expert guidelines we can answer only first question. Rest can be re-post.
Q: The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds…
A: Followings are the Explanation of the question Let x be the reaction time of a driver to visual…
Q: We randomly select 10 individuals from a large group who has participated in an SAT-Math tutorial.…
A: Given data : sample size, n = 10 sample mean, x̄ = 5.3 sample standard…
Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…
A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…
Q: A factory produces cylindrical metal bar. The production process can be modeled by normal…
A:
Q: A factory produces cylindrical metal bar. The production process can be modeled by normal…
A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…
Q: An automobile manufacturer produces a certain model of car. The fuel economy figures of these cars…
A:
Q: 7. ANOVA assumes that the observations are normally and independently distributed with the same…
A: Note: Hi! Thank you for the question. As you have posted independent questions, according to our…
Q: The nicotine content of a brand of cigarettes is normally distributed with a mean of 2.0mg and a…
A: Standard normal score: The standard normal score follows normal distribution with mean 0 and…
Q: The time taken by employees at Grace Floral shop to put a bouquet together has a normal distribution…
A:
Q: An ecologist is studying the impact of local polluted waters on the growth of alligators. The length…
A: Length of adult male alligators follows a normal distribution with µ and standard deviation 2. n…
Q: Suppose that head circumferences of adult men have a bell-shaped distribution with mean = 54 cm and…
A: From Z tableAnswer : 48.12 cm
Step by step
Solved in 4 steps with 4 images
- Suppose the final exam scores in Statistics and Probability of all SHS students at Laguna State Polytechnic University follow the normal distribution with population mean of 32 and standard deviation of 7. Further, the teacher assumes that the true mean is 32. A random sample of 32 SHS students were selected and their final exam scores were gathered. The computed sample mean is 29. Is there enough evidence to say that the teacher's claim of the true mean is true? Use 0.05 level of significance. Conduct the five steps of hypothesis.A simple study by Ahmad found a random sample has chosen randomly from certain population that can be described by Normal distribution. (i) Describe the distribution of sample means for a certain sample size. (ii) Explain any effect to the distribution of sample means if the sample size increase.Lalli long jumper is a teacher in a crowded school here in the city. He is very interested in long jump and he decided to study the long jump ability of the school's students. He held a long jump competition where all the students at the school took part and he measured the length of the students' jumps. Let us now assume that the length of the jump among the students at the school follows a normal distribution with an average of 4 meters and a standard deviation of 1 meter. Lalli randomly selected 100 participants from the long jump competition and asked them if they enjoyed long jump. 62 respondents said they enjoyed long jump. Lalli used the data to create a 95% confidence interval for the proportion of students who enjoy long jump. What is the lower limit of the safety gap? a.) 0.45 b.) 0.52 c.) 0.58 d.) 0.61 e.) 0.71
- The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.55 micrometer and a standard deviation of 0.07 micrometer. (A) What is the probability that a line width is greater than 0.72 micrometer? (B) The line width of 80% of samples is below what value?Suppose steel wires have the tensile strength represented by a normal distribution with mean value equal to 5000N and standard deviation equal to 150N. Knowing that these wires will be used in the manufacture of a steel cable to be mounted on the boom of a crane, what should be the number of wires to be used in the manufacture of this cable so that the probability of the cable breaking with a load less than 50,000N is 2%?What would be the safety factor associated with this probability of failure?Suppose the resistance of the cable is expressed by the sum of the resistance of the wires that make it up.The reaction time in a chemical process (in seconds) is normally distributed with a mean of 2.94 and variance of 0.68.(a) What is the probability that the reaction time is exactly 2.94 seconds?(b) What is the probability that the reaction time is at least three seconds, given that it is less than 3.5 seconds?
- The height of American women is believed to follow a normal distribution with mean μ = 5.38 feet and standard deviation σ = 0.2083 feet. (b) A study randomly selects 30 American women. What is the probability that the mean height of women in this sample is greater than 5.5 feet? (c) Another study randomly selects 50 American women. Will there be a lower or higher probability that the mean height of the 50 women in this sample is greater than 5.5 feet, compared to the study in part (b)? Explain. (d) Instead, for which of the two studies from parts (b) and (c) there is a higher probability that the mean height of the women in the sample is between 5.33 and 5.43 feet? Explain.Diabetes Plasma-glucose levels are used to determine the presence of diabetes. Suppose the mean In(plasma-glucose) concentration (mg/dL) in 35- to 44-year-olds is 4.86 with standard deviation = 0.64. A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general population. USE SALT (a) If the expected difference is 0.10 In units, then what is the power of such a study if a two-sided test is to be used with a = 0.05? 0.0500 (b) Answer (a) if the expected difference is 0.20 In units. 0.496 (c) How many people would need to be studied to have 80% power under the assumptions in (a)? (Round your answer up to the nearest whole number.) x 398D A small amount of the trace element selenium, 50-200 micrograms (ug) per day, is considered essential to good health. Suppose that random samples of 50 adults were selected from two regions of the United States and that each person's daily selenium intake was recorded. The means and standard deviations of the selenium daily intakes for the two groups are shown in the table. Sample Mean (ug) Sample Standard Deviation (ug) Find a 95% confidence interval for the difference (₁-₂) in the mean selenium intakes for the two regions. (Round your answers to three decimal places.) 49 Region Phase One-Tw_docx 1 167.4 22.8 ug to Interpret this interval, O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is exactly in the middle of the Interval is 95%. A 2 140.5 17.3 O The probability that the difference in the average daily selenium intake for the populations in Region 1 and Region 2 is within the interval is 95%. We are 95%…
- Mercury is a toxic metal that is used in many industrial applications. Seven measurements, in milligrams per cubic meter, were taken of the mercury concentration in a lake. Assume that the population of measurements is approximately normally distributed. If the sample standard deviation is 0.197, can you conclude that the mean concentration is greater than 1 milligram per cubic meter? Use the 0.02 level of significance. (A) Yes (В) NoThe patient recovery time from a surgical procedure is normally distributed with a mean of 5.2 days and population standard deviation of 1.6 days. (a) What is the probability of spending more than two days in recovery after a surgical procedure? (c) What is the 90th percentile for recovery time after a surgical procedure? How do I calculate this in my calculator/ what is the formula I can use without it(b)The annual rainfall in Dhaka is normally distributed with mean 26 inches and standard deviation 2 inches. (i) What is the probability that the next 2 years the rainfall will exceed 50 inches? Assuming that the rainfalls in different years are independent. (ii) Find the median of rainfall for a year. (iii) What is the chance that annual rainfall will be in between 23 to 30 inches?