The men body mas index (BMI) for boys of age 12 years is 23.6kg/m An investigator wants to test if the BMI is higher in 12-year-old boys living in New York CIty. How many bos are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 kg/m? Assume that the standard deviation in BMI is 5.7 kg/m.

Q: The assembly time required for certain product is normally distributed with mean 31.2 minutes and…

A: given data normal distributionmean(μ) = 31.2standard deviation (σ) = 4.6for x = 39.5Z = ?

Q: The daily production of a factory is normally distributed with mean 6.4 tons and standard deviation…

A: Answer: From the given data, Let X represent the daily production of a factory X is normally…

Q: A doctor said that newborns lose an average of 6 ounces in the first few days of their lives. The…

A: The hypothesized average weight loss (in ounces) of newborns, μ0=6.The sample size, i.e., the…

Q: A sample of bridge and tunnel officers has an average exam score of 89, with a standard deviation of…

A: The z-score at X =78 is,  The percentage of the bridge and tunnel officers have exam score less…

Q: Records indicate that the average weight of mature rainbow trout in Eagle Creek is1.75 kgwith a…

A: We are going to find the test statistic by using the test statistic formula of chi square test

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…

A: The sample size is .The sample mean is .The population standard deviation is known to be .The…

Q: The average healing time of a certain type of incision is 264 ​hours, with standard deviation of 25…

A: Solution:- from given information Average =264 hrs standard deviation = 25hrs

Q: is there sufficient evidence at the 0.05 level that the valve performs above the specifications?…

A: Let  be the population mean pressure.Given that,Population mean Sample size Sample mean Population…

Q: A shareholders' group is lodging a protest against your company. The shareholders group claimed that…

A: We want to find the test statistic and p value

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…

A: The question is about hypothesis testingGiven :Population mean pressure of valve (  ) = 5.2…

Q: High density lipoprotein in healty males follow a normal distribution with a mean of 50 and a…

A: Consider X be a random variable which follows normal distribution indicates the high-density…

Q: How large a sample is required to estimate the mean speed of all cars travelling on the high way…

A:

Q: From a sample of 100 tires the mean lifetime was 46,000 miles with a standard deviation of 5,500…

A: Given: n=100x¯=45000s=5500μ=45000

Q: You may believe that each day, men and women spend about the same amount of time using Facebook. We…

A: Hypothesis to be tested: H0: μ men = μ women  H1: μ men ≠ μ women Let, men and women are the…

Q: A certain type of thread is manufactured weh a mean tensle strength of 75.3 klograms and a standard…

A: We have given that a certain type of thread is manufactured with a mean tensile strength of 75.3 kg…

Q: The lifetime of a lithium-ion phone battery has a normal distribution with a population mean of u =…

A: We have given that  Sample size n=71 , population mean mu= 317.7 , population standard deviation…

Q: he height of adult men in Armenia was approximated to have a normal distributed with a mean of 1.7…

A: The probability that sample mean will be between 1.55 and 1.6 meters is obtained below as follows:…

Q: Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see…

A: Claim : people over age 60drive less than 24miles per day.

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…

A:

Q: In 2005, a random sample of 100 recorded deaths in the United States showed an average life span of…

A: Given data: Sample size  = 100 Sample mean  = 71.8 Population mean  = 70 Let assume,  significance…

Q: A shareholders' group is lodging a protest against your company. The shareholders group claimed that…

A:

Q: If a waitress fills on average a glass of OJ to 7.5 oz on average. And it is a normally distributed…

A: Given that, A waitress fills on average a glass of 7.5 oz on average. It is a normally distributed…

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…

A: Given:180 engines and the mean pressure was 6.1 lbs/square inch. Assume the standard deviation is…

Q: A farmer grows a particular type of apple which have normally distributed weights with a mean of 150…

A: It is given that, A farmer grows a particular type of apple which have normally distributed weights…

Q: The patient recovery time from a particular procedure is normally distributed with a mean of 5.3…

A:

Q: A random survey of 85 death row inmates revealed that the mean length of time on death row is 17.8…

A: Answer: From the given data, Sample size (n) = 85 Sample mean x = 17.8 years Sample standard…

Q: It is believed that the lower than normal level of human calcitonin (HCT) in men with rheumatoid…

A: Given- X¯=33.8s=23.6μ=47.9n=43α=0.05

Q: A car manufacturer has found that the impact force on their cars has a mean of 30 metric tons with a…

A: Given,mean(μ)=30standard deviation(σ)=1.5sample size(n)=4

Q: A tire manufacturer claims that the mean life of its tire is 75,000 miles. The me a sample of 50…

A: We have given that Mean(µ) = 75000 Sample mean(x̅) = 74200 Sample size (n) = 50 Standard…

Q: Mean typing speed is 90 wpm, with a standard deviation of 18 wpm.  What typing speed separates the…

A: Given,mean(μ)=90standard deviation(σ)=18

Q: A light bulb manufacturer claims that the mean life of a certain type of bulb is 7500hrs. You think…

A: We have given information, μ=7500 hrs n=30 x¯=7000 σ=5000 The level of significance α=0.10

Q: medical researcher wishes to see whether the pulse rate of smokers are higher than the pulse rates…

A: Smokers                           Non-SmokersMean = 90                         Mean = 88Standard…

Q: A class midterm had an average score of 75% with a standard deviation of 4%. Based on your answer…

A: Unusual: When z-score is less than -1.5 and greater than 1.5 then the event is said to unusual. The…

Q: A farmer grows a particular type of apple which have normally distributed weights with a mean of 150…

A: Given, Mean = 150 Standard deviation = 20   The objective is to find the percentage of apples weigh…

Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…

A: From the given information, it can be observed that the claim is that the valve performs more than…

Q: The Empirical Rule specifies the percentage of standard deviations that frame the normal curve. TRUE…

A: The Empirical Rule is also known as the 68-95-99.7 rule, specifies the percentage of data within…

Q: A shareholders' group is lodging a protest against your company. The shareholders group claimed that…

A: Solution: Given information : n= 67 Sample size  μ=11 years Population meanx= 9 years Sample means=…

Q: Suppose that that the average BMI of the patients at Beth Israel Deaconness Medical Center is 30…

A:

Q: A shareholders' group is lodging a protest against your company. The shareholder's group claimed…

A: n=96      ∴df=n-1=9sx=8.5S=5.7H0:μ=9H1:μ<9α=0.05

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: Mean()=69.0standard deviation()=2.8z-score=-0.1

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.