researcher theorizes that first-born children are more intelligent than other children. A sample of 50 first-born children is found to have an average IQ of 105. The average IQ in the general population is 100 with a standard deviation of 15. Which statistic would you use to determine if first-born children significantly more intelligent than the general population?

Q: A pharmaceutical company claims that a drug is effective in treating 90% of people having severe…

A: Given that,The random variable follows binomial distribution,n=6p=90%=0.9,q=1-p, q= 0.1

Q: The average age of accountants is 53 years, with a standard deviation of 5 years. If an accounting…

A: We have to find probability..

Q: A quiz consists of 20 true or false questions. If the student guesses on each question what is the…

A: Solution: Let X be the number of correct answers and n be the number of questions. Since the…

Q: The time that a shopper spends in the grocery store is normally distributed, with a mean of 65…

A: We have to find given probability..

Q: The average public high school has 468 students with a standard deviation of 87. If a public school…

A: Given, mean=μ=468 and standard deviation=σ=87.

Q: Suppose you want to test if left-handed individuals have a higher IQ than right-handed individuals.…

A: State the hypotheses. That is, the left- and right-handed individuals have the same IQ. That is,…

Q: statistics professor reported that the mean score in a recent quiz is 72 and the standard deviation…

A: Solution

Q: The standard deviation may not be greater than the mean. O True O False

A: False: standard deviations may be greater than mean  example: random variable x follow standard…

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of  60  and…

A:

Q: In 1999, the murder rates (per 100,000) for the 50 states and the District of Columbia had a mean of…

A:

Q: Suppose you are told that a computer programmer in Portugal who makes $809.40 has a z-score of -0.50…

A: Solution: It is given that a computer programmer in Portugal who makes $809.40 has a z-score of…

Q: In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with…

A: Given data,μ=500σ=10.7P(X<489)=?

Q: A set of final examination grades in an introductory statistics course is normally distributed, with…

A:

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A: Let Z be the standard normally distributed random variable with mean 0 and standard deviation 1.

Q: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

A: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

Q: A mathematics professor gives two different tests to two sections of his college algebra courses.…

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the…

Q: A recent Gallop Poll indicates that 80 % of voting age adults disapprove of Congress. If 700 voting…

A: Let p be the probability that a voting age adult disapproves of Congress. Given that p = 0.80 Let X…

Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: Given,sample size(n)=33mean(μ)=5.97standard deviation(σ)=0.1

Q: On the final exam in a large statistics class the average score was 76 with a standard deviation of…

A:

Q: According to a recent study, if a person smoked, the average number of cigarettes smoked per day was…

A:

Q: A researcher predicts that showing a certain film will change people’s attitudes toward alcohol. The…

A: The mean score of the experiment for 36 people is 70. In general the mean score of the people on the…

Q: A light bulb manufacturer guarantees that the mean life of its brand of light bulb is 750 hours. If…

A: Given Information: Hypothesized value of the population mean is μ0=750 Sample size (n) = 36 Sample…

Q: Proctor & Gamble reported that an American family of four washes an average of 1 ton (2000…

A: Introduction:Here, the suggested population mean, μ = 2,000 pounds.The population standard…

Q: 21 year old men rates at rest are normally distributed with a mean of 70 beats per minute, and a…

A: Given that   21 year old men rates at rest are normally distributed Mean (μ)=70 beats per minute…

Q: A researcher polled a sample of  1087  adults in the year  2010 , asking them how many hours per…

A: Given that  Sample sizes n1=1087      , n2=1046      Sample means X̄1=10.49      , X̄2=9.45    ?1…

Q: The probability that a patient recovers from a delicate heart operation is 60%. There are 20…

A: Solution: Let X be the number of recovered patients and n be the sample number of patients under an…

Q: In a recent survey, 80% of the community favored building a police substation in their neighborhood.…

A:

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation  :

Q: Suppose 36% of movie goers say comedy is their favorite genre. If a random sample of 120 movie goers…

A: Obtain the mean number of movie goers that prefer comedy. The mean number of movie goers that prefer…

Q: The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find…

A: Given that, Mean = 130 Standard deviation = 35 Sample size = 25

Q: The Jackson triplets , Jenny , John and James , are in different algebra classes at city high . On…

A: The information about the final exams of Jackson triplets is provided as follows:   Xi μi σi…

Q: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: The Wall Street Journal reported that approximately 25% of the people who are told a product is…

A: Utilising Binomial distribution. Reason there is two possibilities and number of sampled…

Q: A psychologist believes that it will take at least an hour for certain special child to learn a…

A: Given,sample size(n)=30sample mean(x¯)=50population standard deviation(σ)=15α=0.01

Q: There is an 85% chance that a randomly selected person will take their own re-usable bags to the…

A:

Q: A cardiologist wishes to determine which of the two drugs A or B is more effective in lowering…

A: As Prof. N. G. Das defined, "Null Hypothesis: A hypothesis which is tested for plausible rejection…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: From the provided information, Mean (µ) = 175 Standard deviation (σ) = 10 X~N (175, 10) Here X be a…

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A:

Q: According to the U.S. Energy Administration, the mean monthly household electric bill in the United…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: a small company is looking to see if they have reached their goal of $30.20, in saving per family.…

A:

Q: According to the US energy administration, the mean monthly household electric bill in the united…

A:

Q: Given a set of data that is skewed-right, there is at least _____ % of the data within 2 standard…

A:

Q: A Physics test has a mean of 150 and a standard deviation of 12.  A Geography test has a mean of 46…

A: Solution: Let X be the physics test and Y be the geography test. From the given information, X has…

Q: In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide…

A: Formula of z score : z = x - μσ

Q: on the test was 450 and the standard deviation was 50.  If the board wants to set the passing scores…

A: According to the sum, the board of examiners that administers the real estate broker’s examination…

Q: he probability that a football game will go into overtime is 12%. In 200 randomly selected football…

A: It is given than n=200 and p =0.12.

Q: An online stock trading company makes part of their revenue from clients when the clients trade…

A: Givensample size(n)=98Mean(x)=85standard deviation(s)=17α=10%=0.10

Q: a distribution with a mean of 100 and a standard deviation of 15, what is the probability that a…

A:

Q: A population has μ = 50 and σ = 5. If 10 points are added to every score in the population, what are…

A: Consider, (µ) = 50 and (σ) = 5 Let, X be the scores of the population. If 10 points are added to…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.