Statistics-hypothesis questions

Assignment Help Basic Statistics
Reference no: EM13110503

1. A researcher claims that the average age of people who buy lottery tickets is 70. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 16. At alpha = 0.05 is there enough evidence to reject the researcher's claim?

49 63 90 52 22 80 72 56 82 56

24 46 70 74 70 61 65 71 39 74

79 76 71 49 62 68 71 67 69 45

2. Choose a variable (such as number of daily admissions at a local theater or number of miles students have to commute daily to get to their college.) Before collecting the data, decide what a likely average might be, then complete the following:

Scenario: Number of customers at a late night fast food restaurant.

Variable: 30

Likely Average: 15

a. Write a brief statement of purpose of the study

b. Define the population

c. State the hypotheses for the study

d. Select an a value

e. State how the sample was selected

f. Show the raw data

g. Compute the test statistic

h. Find the critical values(s)

i. State the decision

j. Summarize the results

You may obtain raw data from the random number table in the appendix section of your text or from any other sources on the World Wide Web.

3. List the steps involved in hypothesis testing using: a) the traditional/classical method; b) the probability-value method. Provide an example of each.

4. A sample size of 35 is used to test H0: m 65 vs. Ha: < 65.

Given that = 63.5 and = 2.5, answer the following questions

a. What is the computed value of the test statistic?

b. What distribution does the test statistic have when the null hypothesis is true?

c. Is the alternative hypothesis one-tailed or two-tailed?

d. What is the p-value?

Reference no: EM13110503

Determining the average lifespan

Tires a and tires b have an average lifespan of 50,000 miles. Tires A was found to have a standard deviation of 12,000 miles and tires b was found to have a standard deviati

Compute probability density function

The radius of the hole and the radius of the shaft. Let the random variable X denote the clearance, in millimeters. The probability density function of X is?

Determining linear correlation coefficient

Determine: SS(xy)Linear correlation coefficient, r. Bar graph below compares mean time in seconds for 7-yr old girls to complete certain task.

Use the given level in testing each null hypothesis

Given the following data for a two-way ANOVA, identify the sets of null and alternative hypotheses, then use the 0.05 level in testing each null hypothesis.

Independent ?ips of a coin

Consider n independent ?ips of a coin having probability p of landing heads. Say a changeover occurs whenever an outcome differs from the one preceding it. For instance, if

Problem related to average running time of movies

Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the popu

Uniform distribution over the interval

If we assume that the errors made by rounding off are iid and have a uniform distribution over the interval ( - ~, ~), compute approximately the probability that the sum of

Determining margin of error

Determine the margin of error that corresponds to the given values of n (times) and x (successes) and the degree of confidence: n=1400, x=420, 95%. Go 3 decimal places of pr

Reviews

Write a Review

 
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd