Statistics and Probability Answers

Q.3A population consists of five numbers 1, 3, 4, 5, and 7. (i) Enumerate all possible samples of size two which can be drawn from the population without replacement. (ii) Calculate the mean and variance of the population. (iii) Show that the mean of the sampling distribution of the sample means is equal to the population mean. (iv) Calculate the standard error of the mean.

the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes

A simple random sample of 15 people from a certain population has mean age of 25 with a standard deviation of 10. Can we conclude that the mean age of the population is younger than 25? Let alpha = 0.05

• Formulate the hypothesis: the null hypothesis and the alternative hypothesis.
• Set the significance level for a. type of test critical value of z/t
• Compute the z-statistic or t-statistic
• Decision: compare the computed value of z or t with the Critical value.
• Conclusion

can anyone help me with this? please :(

Identify the regions under the normal curve of the following standard normal values using the z table (refer to

the last page of this module).

1.) z = - 3.25 _____ 6.) z = -1.33 _____

2.)z = 1.25 ______ 7.) z = -2.5 _____

3.) z = 0.56 _____ 8.) z = 0.29 _____

4.) z = 3 ________ 9.) z = - 0.13 ____

5.)z = 1.96 ______ 10.) z = - 1.96 _____

A. The following numbers are the number found at the left side and upper part of the table. Identify the number that lies on the intersection between the given set of numbers. Use the Table of the Area Under Normal Curve indicated below

1.) - 1.6 and 0.09= _____

2.) 1.0 and 0.07 = _____

3.) 1.1 and 0.06 = _____

4.) 0.5 and 0.08 = _____

5.) 1.0 and 0.00 = __

Blood glucose levels for those obese teenagers have a mean of 120. A researcher thinks that a diet high in raw corn starch will have a positive or negative effect on blood glucose levels. A sample of 25 students who have tried the raw corn starch diet has a mean glucose level of 135 with a standard deviation of 38. Test the hypothesis using the level of significance of 0.10 that the raw corn starch diet had an effect.

A population N = 5 consists of the following values: 11, 13, 15, 17, and 19. Estimate the population mean (u) using a random variable of size n = 3

A random sample of 60 Grade 11 students’ ages is obtained to estimate the mean ages of all Grade 11 students. Suppose the sample mean is 17.3 and the population variance is 18,

What is the point estimate of the population parameter?

Find the 95% confidence interval for the population parameter?

Find the 99% confidence interval for the population parameter?

N=10 X= 82.5; s = 3. The parent population is normally distributed. Use the 95% confidence level to find the interval estimate for µ.