Suppose cattle in a large herd have a mean weight of 1428lbs and a standard deviation of 119lbs . What is the probability that the mean weight of the sample of cows would differ from the population mean by less than 11lbs if 49 cows are sampled at random from the herd? Round your answer to four decimal places.

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: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information,Mean (µ) = 162000Standard deviation (σ) = 36000Sample size (n) = 58

Q: Five hundred children participated in a field demonstration. Their heights averaged 110cm with a…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 771 grams and a standard…

A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…

Q: The operation manager at a tire manufacturing company believes the mean mileage of a tire is

A:

Q: a division wide aptitude test in mathematics was conducted to 1000 students. the mean of the test is…

A: Given : No. of students : Sample size (n) = 1000 Let X : Scores in aptitude test in mathematics…

Q: The mean life of pairs of shoes is 40 months with a standard deviation of 8 months If the life of…

A: The random variable X is the life of shoes It is normally distributed. The mean life of the pair of…

Q: how much will the probability that the students are aged above 15 years old change?

A:

Q: The test scores in a class are normally distributed with a mean score of 77. if the standard…

A: The distribution of test score are normally distributed with mean of 77. Now consider the standard…

Q: A population has a mean of 200 and a standard deviation of 25. A sample of 64 observations will be…

A: We have to find out given probabiity..

Q: population has a mean of 350 and a standard deviation of 25, determine the probability that a random…

A: GIVEN DATA, μ=350σ=25n=40p(335<x¯<375)=?

Q: A particular fruit's weights are normally distributed, with a mean of 702 grams and a standard…

A: Introduction: Define X as the random variable of interest here, denoting the weight of a randomly…

Q: The population mean for the average weigh of 12 year old children is 102 pounds and the population…

A: Solution: Let X be the weight of 12 year old children. From the given information, µ=102 pounds,…

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x  ; x=0,1,2...,n

Q: |(a) What are the null hypothesis Ho and the alternative hypothesis Hj that should be used for the…

A: Test is that whether the mean weight of babies is greater than 7.2 pound. The type I error is…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300⁢lbs and the…

A:

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A: The sampling distribution of sample mean follows the normal distribution, if the population is…

Q: A baseball team has 31 players, 8 of whom bat left-handed. Suppose that the manager of this team is…

A: A baseball team has 31 players, 8 of whom bat left-handed. Suppose that the manager of this team is…

Q: High school girls average 80 text messages daily. Assume the population standard deviation is 15…

A: Given information:

Q: The mean points obtained in an aptitude examination is 167 points with a standard deviation of 20…

A: Solution-: Given: μ=167,σ=20,n=76 We find, P[the mean of the sample would differ from the population…

Q: The mean of a test is 400 and the standard deviation is 75. It is normally distributed. A sample of…

A: 1] Mean μ=400 2] standard deviation σ=75 3] n=25 4] μx¯=400σx¯=σn=7525=15

Q: The variance of the scores on a skill evaluation test is 123,201 with a mean of 1528 points. If 343…

A:

Q: The mean weight of an adult is 79 kilograms with a standard deviation of 10 kilograms. If 188…

A: Let  X be the random variable from normal distribution with mean (μ) = 79, standard deviation (σ) =…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

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

A: GivenMean(μ)=6.04standard deviation(σ)=0.21Sample size(n)=33

Q: A newly-hired school registrar in a Science High School would like to determine the overall…

A:

Q: The mean points obtained in an aptitude examination is 187 points with a standard deviation of 13…

A: Calculation:Denote μ as the true population mean of points. Hence, μ = 187.The sample is of size n =…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A:

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…

Q: loaded my die so that the chance of a 1 is 0.1, the chance of a 6 is 0.2, and the chances of the…

A: Use ∑P(x) =1   to find the remaining probability

Q: The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of…

A:

Q: The life of lightbulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: The following information has been provided: The population mean is μ=600. The population standard…

Q: A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons.…

A:

Q: Find the probability that a single randomly selected salary that doesn't exceed 181000 dollars.…

A: The random variable X is defined as the salary for graduates which follows normal distribution with…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations be taken.…

A: Given: Population mean μ = 84 Population standard deviation σ = 12 Sample size n = 36

Q: TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013…

A: given  mean μ=2.24 standard deviation σ=1.2 n=80

Q: The IQ of highschool seniors is normally distributed with a mean of 100 and a standard deviation of…

A: The sample size is n=15. The population mean is μ=100. The population standard deviation is σ=15. We…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

A:

Q: The mean number of words per minute (WPM) read by sixth graders is 81 with a standard deviation of…

A: Let X be the random variable from normal distribution with mean (μ) = 81, standard deviation (σ) =…

Hypothesis Testing

In statistics, there are two ways to calculate the sample data. One is descriptive statistics and the other is inferential statistics.  In descriptive statistics, all of the information is defined through graphs and charts. In inferential statistics, it allows one to test the hypothesis and it is always used to predict the data. Inferential statistics has two main areas: estimating parameters and hypothesis testing. A hypothesis is a statement about the unknown parameter of the population which we want to verify from the information available from the sample. The premise may or may not be true. The estimation of the whole population would be a reasonable way of deciding if the statistical hypothesis is valid. There are two types of hypotheses. They are null hypothesis and alternative hypothesis.