Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately ?2 = 47.1. However, a random sample of 13 colleges and universities in Kansas showed that x has a sample variance s2 = 85.2. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1.   Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)   What are the degrees of freedom?

Q: Two groups of students reported mean weights of 162 kgs and 148 kgs respectively. When would the…

A:

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

A: It is given that the mean and standard deviation are 4.4 and 8.24.

Q: d. What is the slope (b) of the regression line? e. Can we conclude that neighborhood contact…

A: The study is to examine whether friendship contact predicted likelihood to intervene. Given the…

Q: Suppose the yield (lb/acre) of corn from 2 types of soil is studied for years and the means  and…

A: Type A Type B Mean   4500  3900 Variance 455,625 152,100  , For part a) n1 = 10 and n2 =…

Q: In a series of 5 observations, the values of mean and variance are 4.4 and 8.24. If three…

A:

Q: Assume the mean height of soldiers to be 68.22 inches with a variance of 0.8 inches. How many…

A:

Q: A Fortune study found that the variance in the number of vehicles owned or leased by subscribers to…

A: Chi square test are used to measure the relationship between the independent and dependent variable.…

Q: Suppose that 10 observations are drawn from a normal population whose variance is 64. The…

A: Given that the population variance is 64. Sample size is 10. σ2=64n=10 Claim: There is enough…

Q: Compute the standard scores for the values 0.49, 0.18,and 0.90. Interpret these scores. What…

A: This question involves computing and interpreting standard scores (also known as z-scores) for given…

Q: Daily time spent (in minutes) on the website for 30 males 210 930 30 30 10 5 690 300 60 210 210 45…

A: The given sample observations for spent time (in minutes) by 30 male students is: The given sample…

Q: A researcher has collected the following sample data: 3, 5, 12, 3, 2. The mean of the sample is 5.…

A:

Q: A survey is conducted to young adults after they tasted a new brand of soda. Their satisfaction…

A: Box plot : Box plot is use full to compare the data graphically and it is most appropriate method to…

Q: Samantha found that the national average for all students who feel that taking “stats” with Prof.…

A: Given: Sample size (n) = 81 Sample mean x¯ =78 Population variance σ2=25 Hypothesized mean μ=80…

Q: State the null and alternative hypothesis as an expression

A: Given that x1=12.5 x2=13.9 s1=3.9 s2=5.2 n1=14 n2=17

Q: A psychologist hypothesizes that the children with type-K personality score higher than the children…

A: According to the provided information, the objective of the question is whether the children with…

Q: A report from the National Center for Health Statistics for 2010 showed that 20% of the adult…

A: The objective of this question is to find the average number of adult smokers in a sample of 25…

Q: One sample has n = 5 scores and M = 10. A second sample has n = 20 scores and M = 5. If the two…

A:

Q: A researcher calculates the variance of her sample to be s = -6. , what would you tell the…

A: Here's the explanation for this as follows; The sample variance, s², is used to calculate how varied…

Q: An office manager claims that the mean time required to handle a customer complaint is less than 30…

A:

Q: A researcher has collected the following sample data: 3, 5, 12, 3, 2. The mean of the sample is 5.…

A:

Q: A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the…

A: For actor (x1): sample size (n1) = 14 sample mean (x̄1) = Σx1 /n1 = 428/14=30.57 sample…

Q: 12) If the standard deviation of a data set is (17.2); the variance will be (295.84).   Select…

A:

Q: A researcher rcher believes that the mean earnings of top-paid actors, athletes and musicians are…

A: Here we’ve to compare 3 group means so we use ANOVA. Let A represents group of Actor, B represents…

Q: The scores in a high school are normally distributed with a variance of 225. Suppose that 27.43% of…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: researcher believes that the me arnings (in millions of dollars) fo able below. It has been confirme…

A: For actor (x1): sample size (n1) = 14 sample mean (x̄1) = Σx1 /n1 = 428/14=30.57 sample…

Q: A simple random sample of heights of 6400Englishmen has a mean of 67.85 inches and SD 2.56 inches,…

A: Since the sample size is large so we can assume normality.Null hypothesis: H0: Australians are same…

Q: Compute the population variance of the data: 16,18,23,21,17,16,24,23,9,17,11,16,22,10,15,14. A.…

A: σ2= ∑(xi-x¯)2n

Q: Mode = 35.4 a) Find the value of Pearson's Coefficient of skewness 1 and 2. (0.19,0.58) b) Determine…

A: Given that ; Average = 64.6 Mode = 35.4 Median = 34.3 Variance = 24432.1 By using the Pearson's…

Q: a study on using a chief executive officer's facial structure to predict a firm's financial…

A:

Q: Suppose that house prices in a city (measured in thousands of dollars) are normally distributed with…

A: It is required to find the z-score for a house price of 333 units.

Q: Should be consider this score unusual? What is the value of the test statistic?

A:

Q: Suppose a recent report indicates that the mean height of girls between the ages of seven and nine…

A: Given: Population meanμ=131Sample size(n)=49 The claim is that the height is higher than 131 cm.

Q: The purchase value of transactions at a grocery store is normally distributed with a mean of $244…

A: Consider X be a random variable which follows normal distribution indicates the purchase value of…

Q: 3. A study was conducted to determine whether the type of patient care (full-time, part-time) is…

A: There are two types of patient care 1. Full time          2. Part time The data relating to two…

Q: The director of research and development is testing a new medicine. She wants to know if there is…

A: From the provided information, The hypotheses can be constructed as:Null hypothesis: H0: µ = 309…

Q: The mean and variance of a sample of 25 data items are 78 and 100, respectively. Use Chebyshev's…

A:

Q: According to previous studies, the mean distance each visitor in Greenspan National Park hikes…

A:

Q: The data in the following Table 3 represent the number of hours of relief provided by five different…

A: The objective of this problem is to perform the analysis of variance and test the hypothesis at 0.05…

Q: A researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16 days from…

A: Given that, a researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16…

Q: what test is used to determine whether two population means are different when the variance are…

A: Solution :  when the variance are known and sample size is large then we use z test to determine…

Q: sufficient evidence to indicate a difference in the mean achievements between car owners and…

A: Given : n1=100 , n2=100 , X1-bar=2.70 , X2-bar=2.54 , s12=0.36 , s22=0.40 ,α=0.05 Here , assume that…

Q: Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling…

A: Here the given information is Suppose that the City of Chicago is interested in potential revenues…

Q: A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the…

A: The data for three variables is given…

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.