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Given a population of 5000 scores with mean= 86 and SD= 10. How many scores are above 116

A random sample of ten measurements were obtained from a normally

distributed population wit mean μ = 8.5. The sample values are x̄= 6.2 and s=4

a. Test the null hypothesis that the mean of the population is 8.5 against the

alternative hypothesis, μ <8.5. Use α =0.05.


A class in advanced physics is composed of 10

juniors, 30 seniors, and 10 graduate students. The final

grades show that 3 of the juniors, 10 of the seniors, and

5 of the graduate students received an A for the course.

If a student is chosen at random from this class and is

found to have earned an A, what is the


From a finite population consisting of digits 1, 4, 5, and 9, construct the


sampling distribution of the sample mean


a. With a sample size of 2


b. With a sample size of 3

The following data relate to age of husband and age of wife in years at the time of marriage.



Age of Husband



23 24 25 26 27



Age of wife





19 19 20 21 22



Estimate age of husband (in years) if age of wife is 20 years.

determine the standard deviation of the data set represented by this frequency table

class frequency

4-8 6

8-12 2

12-16 5

16-20 7

20-24 1


a math 7 module has 12 pages with the following numbers of words 301,298,314,327,296,287,271,326,316,333,354 and 285.what is the standard number of words per pages


In survey, male and female respondents are asked if they prefer to be single or married.find the 99% confidence interval of the difference in the two proportions as shown in the table











Gender single. Married










Male. 100. 150










Female. 125. 75

A psychologist has measured the IQ for a group of 30 children, now in the third grade, who had been regularly exposed to a new interactive, computerized teaching device. The mean IQ for these children is X = 106.


a. Test the null hypothesis that these children are no different from the general population of third-graders (μ = 100, σ = 6) using alpha = .05.


 the mean monthly Internet bill is $32.79 per household. A sample of 50 households in the Belize District showed a sample mean of $30.63. Use a population standard deviation $5.60.

  

 What is the value of the test statistic? 

c) What is the p-value?

d) At α = .05, what is your conclusion?