1. How many different ways is it possible to get seven heads in a sample of twenty coin flips?

2.What is the probability of getting seven heads in a sample of twenty coin flips? Is this significantly different from the population in which P = 0.50 if the alpha is 0.05?

3. In which case would it be easier to reject the null hypothesis: a two-tailed test with an alpha of 0.10 or a one-tailed test with an alpha of 0.05?

4. What is the Chi-square value for an alpha of 0.01 with 10 degrees of freedom? If an obtained Chi-square value for 10 degrees of freedom at an alpha of 0.05 is 19.7, what is the researcher's decision in the hypothesis test?

5. The frequency distribution given below provides the distribution of mother's education from a sample taken from the National Youth Survey. Calculate the univariate Chi-square statistic, and determine if the sample is statistically different from a population in which the frequencies are hypothesized to be equal for all cells. State the null and alternate hypotheses, find the Chi-square critical value (for alpha of 0.01), and present the statistical decision.

Educational Level Frequency

Post grad degree 35
Completed college 120
Some college 336
High school/GED 506
Some high school 340
Grade school 78
Some grade school 59
Total 1474

Solution Summary

The solution gives the details of chi-square test, null hypothesis, alternative hypothesis, critical value and P value are given. Some basic probability calculation are also given.

To be sure that the various batches of data arriving at the research center were from the same population, the director developed an analysis of variance. The variance among the means was 4.54 and contained three degrees of freedom. The variance within the data was 1.20 and contained 10 degrees of freedom. There were four batche

How many curves does t have and what are they related to about the t-distribution?
Is there a restriction on the sample size when s can be used instead of sigma in the statement below?
The standard deviations s1 and s2 can be used when Ó1 and Ó2 are unknown and you believe that the underlying distribution is normal. Th

What is the F critical value to be used at the 0.05 level of significance with 7 numerator degrees of freedomand 12 denominator degrees of freedom?
What is the chi-square critical value with 12 degrees of freedom for a 0.05 probability?
What is the exact probability of a value that fits a chi-square distribution with 17 d

If we are testing for the difference between the means of 2 related populations with samples of n1 = 20 and n2 = 20, the number of degrees of freedom is equal to
39
19
18
Show all work.

What do you mean by degrees of freedom in statistics? Explain the concept of degrees of freedom for each of the following hypothesis tests. Use an example in each case and compute the degrees of freedom. Determine step by step how you arrived at the degrees of freedom.
1. One Sample T-Test
2. Two Sample T-Test for Independ

A company is researching the effectiveness of a new website design to decrease the time to access a website. Five website users were randomly selected and their times (in seconds) to access the website with the old and new designs were recorded. The results follow:
User Old Website Design New Website Design
A 30 15
B 45 20

Consider the following HypothesisTesting:
H0: δ1² = δ2²
Ha: δ1² ≠ δ2²
The sample size for sample 1 is 25, and for sample 2 are 21. The variance for sample 1 is 4.0 and for sample 2 is 8.2
a) at the confidence level of 0.98, what is your conclusion of this test?
b) What is the confidence

I need help with answering these 9 questions.
1) "µ = 17" is an appropriate null hypothesis.
A.
True
B.
False
2) If the p-value is less than a in a two-tailed test, the null should be rejected.
A.
True
B.
False
3) A Type II error is committed when we reject a null hypothesis that is true.
A

Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected.
10) In one town, monthly incomes for men with college degrees are found to have a standard deviation of $650. Use a 0.01 significance level to test the claim that for men wi

Question:
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.20 liters. A sample of 10 adults after the campaign shows the following consumption in liters:
- 1.34 1.32 1.38 1.40 1.70 1.40 1.32 1.90 1.38 1.36
At the 0.10 significance level, can we conclu