In 1960, census results indicated that age at which American men first married had a mean of 23.3 years.  It is widely suspected that young people today are waiting longer to get married. We would like to find out if the mean age at 1st marriage has increased during the past 40 years.  A random sample of 40 men who married last year married at an average age of 24.2 years, with a sample standard deviation of 5.3 years.  Test the following hypotheses at alpha = 5%.  Ho: u = 23.3 vs Ha: u > 23.3 a) Calculate the value of test-statistics to be used. b) Calculate the P-value for the test c) Write your conclusion in the context of the problem.

Q: A company has 1,000 employees. The average number of workdays between absence for illness is 87 with…

A: The objective of this question is to find the probability that the sample mean of workdays with no…

Q: Suppose 1% of students drink more than 3 cups of coffee each day. To check this claim, a researcher…

A: Given that p = 0.01 ,n=133 What is the sampling distribution of the sample proportion? What is the…

Q: A simple random sample of 21 people with early-onset dementia have the mean age at diagnosis of 52.3…

A: The random variable age is normally distributed. We have to test whether the mean age at diagnosis…

Q: The average weekly income of a U.S. student worker is $200 with a standard deviation of 50. If a…

A: The given values are, sample size = n = 100 standard deviation = σ = 50 mean = μ = 200 P ( -20 <…

Q: The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their…

A: Let X be the random variable denoting that the amounts of weight that male college students gain…

Q: Cititon Forest contains a population of 297 chupacabra, whose masses have a mean of 40.1 kg and a…

A: Given that.   X~N( μ , ?^2 )   μ=40.1  , ?=8.3  , n=103   Z-score =( x - μ )/?

Q: Cititon Forest contains a population of 326 chupacabra, whose masses have a mean of 30.2 kg and a…

A: Given that ; N = 326 u = 30.2 kg n = 70 kg ? = 7.4 kg By using standard normal distribution we solve…

Q: Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What…

A:

Q: What is the random variable in this narrative

A: Claim is that the average number of weeks an individual is unemployed is 17.5 weeks.

Q: unts of weight that male college students gain during their freshman year are normally distributed…

A: Given that.   X~N( μ , ?^2 )   μ=2.3     , ?=10.2   Z-score =( x - μ )/?

Q: The mean starting salary offered to graduating students with a certain major in a recent year was…

A: given data normal distributionμ  = 64275σ = 3712n = 85P(x¯≥64000) = ?

Q: In a population of heroin users, the mean duration of heroin abuse is 5 years with a standard…

A: From the provided information, Mean (µ) = 5 years Standard deviation (σ) = 3 years X~N (5, 3) Sample…

Q: According to data from the 2010 United States Census, 64.2% of Americans in Susanville, CA were…

A: 64.2% of Americans in Susanville, CA were male, p = 0.642 Sample size, n = 100 Among the sample, 54…

Q: According to a report from a business intelligence​ company, smartphone owners are using an average…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: The population mean is 35. The population standard deviation is 7.5. The sample size is 50. We have…

Q: A recent survey suggests that the working residents of math city have an average commute of 35…

A: The objective of this question is to find the probability that the mean commute time of a sample of…

Q: The annual salary for an emergency room nurse is a normally distributed random variable with a mean…

A: Mean()=80000standard deviation()=12000sample size(n)=36

Q: 3. In 2014, according to the National Center for Health Statistics, the age at which American men…

A: Null hypothesis: µ=28.9. Alternative hypothesis: µ>28.9 Since the population standard deviation…

Q: The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their…

A: To determine the probability that a randomly selected male college student gains 15 pounds or more…

Q: Suppose that the height distribution of students in your class was normally distributed with mean 68…

A:

Q: Suppose we know that the mean score among the population of college students taking the GMAT test is…

A: Solution-: Given: μ=1000,σ=1200,n=100 We find, P(we will observe a sample mean greater than 1200)=?…

Q: Are young people waiting longer to buy their first home? Some believe that many [10] factors, such…

A:

Q: The annual salary for an emergency room nurse is a normally distributed random variable with a mean…

A: Suppose the random variable x defines the annual salary for an emergency room nurse.

Q: Per the Barron's report the average weeks unemployed is 21.5 (population mean) with a population…

A: Given, μ=21.5σ=5n=55

Q: Suppose that IQ scores have a bell shape distribution with a mean of 105 and a standard deviation at…

A: Solution: Let X represent the IQ scores of students.  The distribution of X is bell shape…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Solution: We are given:

Q: The starting salaries of individuals with an MBA degree are normally distributed with a mean of…

A: From the provided information, Mean (µ) = $40,000 Standard deviation (σ) = $5,000

Q: The mean for life expectancy is 47.6 for White people who were born in 1900 and 33.0 for non-white…

A: It is given that a hypothesis test is needed to see if the mean is the same for both countries for…

Q: Say that an extraversion scale has a population mean of 40 and a standard deviation of 10. About…

A:

Q: The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their…

A: Formula : Z =(X - μ)/σ

Q: a sample size of 49 drawn from a population with a mean of 36 and a standard deviation of 15 for the…

A:

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.