The average speed of 100 random cars traveling on a certain highway was 80 km/h. From past information, we can assume that the standard deviation of the population is 20 km/h. What is the margin of error with a 99% level of confidence for the population average ?speed

Q: We notice a mean loss of 7 pounds in a sample of 11 dieters, with a standard deviation of three…

A: We first find the critical value for 95% confidence interval

Q: In a vending machine the capacity of cups is normally distributed, with mean 200 cm³ and standard…

A: Given Data: let X be the variable for capacity of cups let Y be the variable for coffee discharged…

Q: If a population has a standard deviation σ of 36 units, what is the standard error of the mean if…

A: The population standard deviation is 36.

Q: As the sample size             , the standard deviation of ?¯x¯             . increases; decreases…

A: The formula for sample standard deviation can be written as:

Q: The population standard deviation for the height of students from STAT class is three inches. If we…

A: The confidence level is 98%, population standard deviation is 3, and margin of error is 1.

Q: Claim: The standard deviation of pulse rates of adult males is more than 12 BPM. For a random sample…

A: Given  Ho: σ=12 vsH1:σ>12 n=155, s=12.8 We want to find the test statistic

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A:

Q: Claim: The standard deviation of pulse rates of adult males is less than 10 bpm. For a random…

A: According to the provided information, n=131 s2=9.6 σ²=10 The test statistic is defined as:

Q: The depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard…

A: It is given that the depth of the snow follows a normal distribution with mean 2.5 inches and…

Q: Scores on a certain standarized test have a mean of 500, and a standard deviation of 50. How common…

A: Given, Mean = μ =500SD = σ = 50

Q: A boxer would like to know the mean diameter of a navel orange. If the standard deviation is 0.3…

A: Given Standard deviations=0.3 Margin of error=0.1 At 95% confidence z=1.96

Q: According to a recent survey, the population distribution of number of years of  education for…

A: What is the standard error of mean?

Q: if an approxemitly  bell shaped distribution has a mean of 30 and standard deviation of 5, what…

A: Given that  X~N( μ = 30 , ? = 5 ) μ = 30 , ? = 5 Formula for Z-score Z-score =( x - μ )/?

Q: A normally distributed variable has a mean of 75 and a standard deviation of 2. What is the z-score…

A: The z-score for 69 is obtained below: From the given information, the value of mean is 75 and…

Q: What is the standard deviation of the data?

A: We want to calculate standard deviation

Q: Scores on a recent national statistics exam were normally distributed with a mean of 80 and standard…

A: Obtain the standard z-score for X equals 89 The standard z-score for X equals 89 is obtained below:…

Q: A nutritionist claims that the mean tuna consumption by a person is 3.1 pounds per year. A sample…

A: Solution: Let X be the tuna consumption by a person. From the given information, n=90, x-bar=2.9 and…

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A: Solution: State the hypotheses. Null hypothesis: H0: µ=69 Alternative hypothesis: H1: µ≠69

Q: The length of time it takes a Grade 11 student to play the Candy Crush computer app follows a normal…

A: Given that  The length of time it takes a grade 11student to play the candy crush computer is…

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A: It is given that the claim is "The mean pulse rate​ (in beats per​ minute) of adult males is equal…

Q: As the size of a sample increases, the standard deviation of the distribution of sample means…

A: Here  Standard deviation of sample mean = σn

Q: Claim: The standard deviation of pulse rates of adult males is less than   10   bpm. For a random…

A:

Q: The heights of students are normally distributed with a mean of 59 inches and a standard deviation…

A:

Q: The scores of students on an exam are normally distributed with a mean of 241 and a standard…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 241 and…

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A: From the provided information, Population mean (µ) = 69 Sample size (n) = 181 Sample mean (x̅) =…

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69   bpm. For a…

A: GivenThe mean pulse rate in claim = 69 beats per minuteThe sample size = 129standard deviation =…

Q: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…

A: Givendata for adult men Mean(μ)=69.8standard devaition(σ)=2.62data for adult…

Q: The standard deviation of the sample mean is less than the standard deviation of the population.…

A:

Q: The heights of adult women in America are also normally distributed, but with a mean of 64.7 inches…

A: Consider a random variable X which represents the heights of adult women in America.  X  follow…

Q: The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a…

A: Let X be the height of men  And Y be the height of women  mean=μ deviation=σ X~N(μ=69.2, σ=2.64)…

Q: The average number of moves a person make in his/her lifetime is 12 and the standard deviation is…

A: Given,sample size(n)=25mean(μ)=12standard deviation(σ)=3.5

Q: If the standard deviation of all dogs is 54 lbs, what is the standard deviation of the average…

A: Given,σ=54n=110σx=?

Q: ​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A:

Q: If a population has a standard deviation σ , then the standard deviation of the mean of 100 randomly…

A:

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. If a random sample of…

A: Given that  μ= 400 , σ= 50 , n = 25

Q: According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a…

A:

Q: A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of…

A: (a) Let μ denotes the population mean tuna consumption. The claim of the test is that the mean tuna…

Q: What is the z-score if our standard deviation was 2, mean of 49 and our specific observation is 47?

A: Given: Standard deviation = 2 Mean= 49 Specific observation =47 Determine the Z- score using the…

Q: The speed of cars  on a specific road is normally distributed with a mean of 54 mph and a standard…

A: Let us denote X= The speed of cars  on a specific roadGiven that X follows a normal distribution…

Q: In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of…

A: 1.   From the given information, the sample size is 250.  The population standard deviation is 2.5.…

Q: The Drive-thru lane at Chick-fil-a's mean wait time is 7 minutes with a standard deviation of 2…

A: 8. The standard deviation for sampling distribution of means is, σx¯=σn=210=23.16227766=0.6325

Q: The variance of a sample of 81 observations equals 64. what is  standard deviation of the sample ?

A: Given data ,no of samples n=81Variance σ2=64Std. deviation σ= ?

Q: What conclusion can you make base on the standard deviation?

A: Answer:

Q: A farmer claims that the average fat content in his chickens is 29 g. A researcher tested 36…

A: From the provided information, Sample size (n) = 36 Sample mean (x̅) = 30.1 g Sample standard…

Q: The scores of students on an exam are normally distributed with a mean of 193 and a standard…

A:

Q: Claim: The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample…

A: Given data σ=12n=172s=11.5

Q: A nutritionist claims that the mean tuna consumption by a person is 3.6 pounds per year. A sample…

A: Given that  Claim :  Mean tuna consumption by a person is 3.6 pounds per year Sample size (n) = 90…

Q: The average score on the verbal portion of the college entrance exam is 453, with a standard…

A: From the provided information, Sample size (n) = 137 Sample mean (x̅) = 502 Population standard…

Q: A recent newspaper article reported the results of a survey of well-educated suburban parents. The…

A: Given that 2-year-old children watching an average of 60 minutes of television each day watching an…

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A: Suppose, X be the pulse rate​ (in beats per​ minute) of adult males. and X follows Normal…