A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62.9%. What is the probability that in a random sample of 400 headache sufferers, less than 58.1% obtain relief?

Q: Suppose a clinical trial is conducted to test the efficacy of a new drug, spectinomycin, for…

A: given that,possible chances (x)=6size(n)=46success rate ( p )= x/n = 0.1304point of estimate =…

Q: The time it takes me to ride my bike to school is uniformly distributed between 27 minutes and 48…

A:

Q: The manager of a retail store wants to determine the best method of staffing employees without being…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A machine is shut down for repairs if a random sample of 200 items selected from the daily output of…

A: Let Y be the number of defectives. From the given information, a machine will be shut down if the…

Q: The number of attempts at shooting goals made by a netballer in a tournament can be modelled by a…

A: Giveni)p=0.35n=12Let "x"be number of successful shootsx~Binomial(n=12,p=0.35)P(X=x)=(nx)px(1-p)n-x…

Q: Suppose serious sleep deprivation (SSD) refers to a student who has no more than 6 hours of sleep…

A: The SSD refers to students who have no more than 6 hours of sleep.  The proportion of 25% are being…

Q: On a highway, the Average Waiting time for a cop for stopping a car is 10 min. The waiting time T is…

A: The waiting time is independently distributed exponential random variable with mean waiting time 10…

Q: This academic year, UNC Charlotte required all employees and students to attest ti they have…

A: Given data,n=500p=55% =0.55P(X<255)=?

Q: Suppose that you take a random sample of 30 healthy American men... What is the z-score…

A: The mean is 82 and the standard deviation is 10.

Q: An airline studied the data from their passenger records and noted that their customers turn up only…

A: Let X measure the number of passengers (out of 42) who show up for a flight.

Q: From past experience a company knows that on average 5% of their concrete does not meet…

A: Given data: p = 5 % n = 2000 x = 75

Q: If a test of hypothesis has a Type I error probability (a) of 0.01, it means that

A:

Q: A fabric manufacturer believes that the proportion of orders for raw material arriving late is p =…

A: Given: The proportion of orders for raw material arriving late is p=0.6. The number of sample orders…

Q: A newspaper survey found that 65% of readers found online tutorials useful. If a random sample of 9…

A: We have given that a Binomial distribution with parameters p=65% = 0.65 , q=1-p = 0.35 and sample…

Q: Use the normal approximation to estimate the probability of getting exactly 48 girls in 100 births.…

A: Given: The sample size of births is n=100. The probability of birth of a girl is p=0.5. For Binomial…

Q: A survey indicates that 30% of the people who earn less than $35000 per year are homeowners. If a…

A:

Q: In a recently conducted survey, workers reported driving an average of 36 miles one way on their…

A: Given Population mean = 36miles Population standard deviation =5

Q: A salesman who frequently drives from Muscat to Sohar finds that his driving time is a random…

A: The solution to the given question is explained below.

Q: What is the marginal probability of a respondent's most commonly used type of phone not being a…

A: In probability theory, an event is an outcome or a set of outcomes of a random experiment to which a…

Q: A recent 10-year study conducted by a research team at the Great Falls Medical School was conducted…

A: The dependent variable is Risk. The independent variables are Age, Systolic Blood Pressure and…

Q: Among 110 Grade 9 students at a public high school, only 25 are athletes. if 10 of the students are…

A: The sample of the number of students is n=10. The probability of 25 students are athlete,…

Q: An electrical firm manufactures incandescent light bulbs that have a length of life (in hours) that…

A:

Q: For a collection of insured vehicles, windshield cracks are repaired at a Poisson rate of 150 per…

A: Given number of windshield cracks repaired per month follow Poisson with rate 150 per monthλ=150 90%…

Q: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A: Given that mean =200 ,s.d =16

Q: In response to concerns about nutritional contents of fast foods, McDonald's has announced that it…

A: Given: n = 100 x = 3

Q: A recent ten-year study conducted by a research team at the Great Falls Medical Schoolwas conducted…

A: using excel  click on data analysis go to regression   SUMMARY OUTPUT…

Q: A catalog company that receives the majority of its orders by telephone conducted a study to…

A:

Q: Use the result of Exercise 45 to show that, if n independent random variables Xi have normal…

A: The mean is calculated as follows:

Q: A producer of soft drinks was fairly certain that her brand had a 10% share of the soft drink…

A: Givenp=0.10n=2500x~Binomial(n=2500,p=0.10)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,..,n

Q: The phones produced in factory A have a ifespan of 3000 days. The phones produced in factory B have…

A: For factory A, mean = 3000, sample size = 100 For factory B, mean = 2500, sample size = 100 Standard…

Q: A 1987 study found that the distribution of weights for the population of males in the United States…

A:

Q: At a particular hospital, records show that each day, on average, only 80% of people keep their…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is the…

Q: The quality-control officer for an electronics firm claims that 96% of the parts shipped out are in…

A: given that n =100 , p(good ) = 0.96 , p( defective ) =0.04 p ( n more than two defectives ) = ?

Q: 16% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

A:

Q: A given age group's average height is 53 inches, with a standard variation of 4 inches. Determine…

A:

Q: What is the probability that, in a random sample of 144 birds, more than 33 are blue birds?

A: We have given that p = 23% = 0.23 Sample size, n = 144 favourable cases, x = 33

Q: In a recent poll, 35% of survey respondents said that, if they only had one child, they would prefer…

A: a. The mean and standard deviation are calculated as follows: Mean=np          =190×0.35…

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would…

A: (a) The probability that at least 84 would prefer a boy  is 0.1230 and it is obtained below: From…

Q: 16% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

A:

Q: During a blood-donor program conducted during finals week for college students, a blood-pressure…

A:

Q: It is estimated that 10% of the vehicles entering Canada from the United States carry undeclared…

A:

Q: The probability distribution itself is assumed to be a beta distribution. True or false?

A: Beta Distribution is a probability Distribution, one of its most common uses is to model one's…

Q: A contractor has concluded from his experience that the cost of building a luxury home is a normally…

A: Let us denote X=the cost of building a luxury home X follows a normal distribution with mean=500,000…

Q: A coin-operated soft-drink machine is designed to discharge, when it isoperating properly, at least…

A:

Q: A bartender calculates that every night she works, she has a 60% chance of earning more than $275 in…

A: Given: A bartender chances of earning more than $275 in tips is 60%, that is, p = 0.6. Number of…

Q: A researcher tests their new treatment for sleep disorder among an individual that has a sleep…

A:

Q: A cereal manufacturing company conducted research about the amount they give in their cereal boxes…

A: Let cereal box amount (in oz.) from normal distribution with mean (μ) = 15 and standard deviation…

Q: Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A…

A: From the provided information, Sample size (n) = 2500 Out of which 1723 in favor of stricter gun…

Q: A recent study showed that 71% of adults need some type of corrective lens (glasses or contacts).…

A: Given : Recent study showed that 71% of adults need some type of corrective lens (glasses or…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.