Reference no: EM131050654
Archaeology: Arrowheads The Wind Mountain archaeological site is in southwest New Mexico. Prehistoric Native Americans called Anasazi once lived and hunted small game in this region. A stemmed projectile point is an arrowhead that has a notch on each side of the base. Both stemmed and stemless projectile points were found at the Wind Mountain site. A random sample of n1 = 55stemmed projectile points showed the mean length to be x1 = 3.0 cm, with sample standard deviation s1 = 0.8 cm. Another random sample of n12 = 51stemless projectile points showed the mean length to be x2 = 2.7 cm, with s2 = 0.9 cm (Source: Mimbres Mogollon Archaeology, by A. I. Woosley and A. J. McIntyre, University of New Mexico Press). Do these data indicate a difference (either way) in the population mean length of the two types of projectile points? Use a 5% level of significance.
Assume that the distribution of population means for both stem and stemless projectile arrowheads are normally distributed.
1) Find the value of the test statistic for this hypothesis test._____________________
2) Find the critical value for this hypothesis test.____________________
3) Find the P-value for this hypothesis test. (Use your calculator) ________________________
4) Write the conclusion for this hypothesis test.
Choose from the following _______________
A. Reject the null hypothesis. There is sufficient evidence that the population mean lengths of these two types of projectile points are different.
B. Fail to reject the null hypothesis. There is insufficient evidence that the population mean lengths of these two types of projectile points are different.
C. Fail to reject the null hypothesis. There is sufficient evidence that the population mean lengths of these two types of projectile points are the same.
D. Reject the null hypothesis. There is insufficient evidence that that the population mean lengths of these two types of projectile points are the same.
5) Compare the critical region method conclusion with the one obtained by using the P-value method. Are they the same? Select the correct answer: ________________
A. The conclusions obtained by using both methods are the same.
B. We reject the null hypothesis using the critical region method, but fail to reject using the P-value method.
C. We reject the null hypothesis using
|
Study the ages of couples applying for marriage licenses
: A student wanted to study the ages of couples applying for marriage licenses in his county. He studied a sample of 94 marriage licenses and found that in 67 cases the husband was older than the wife.
|
|
Data on per capita consumption
: Here is data on per capita consumption (in pounds) of mozzarella cheese in the US and the number of Ph.Ds in civil engineering awarded in the US for the years 2000 - 2009.
|
|
Fraud division of the district attorney office
: You obtain an internship working in the fraud division of the District Attorney' office. One of the investigators believes that there is a tendency for those writing fraudulent checks to begin them with the number 5.
|
|
Does jodee have any rights against viking pty ltd
: Does Jodee have any (and if so, what) rights against Viking Pty Ltd under Part 5-4 Division 2 and/or under Part 3-5 of the Australian Consumer Law in relation to the defective phone?
|
|
Question regarding the archaeology
: Arrowheads The Wind Mountain archaeological site is in southwest New Mexico. Prehistoric Native Americans called Anasazi once lived and hunted small game in this region.
|
|
Create one example using forecasting did better decision
: Discuss the process, noting if an assumption was more challenging than expected- such as obtaining data or formulating the forecast. Additionally, share or create one example where using forecasting did or could have led to a better decision.
|
|
Zero-interest-bearing note to brown company
: Samson Corporation issued a 4-year, $75,000, zero-interest-bearing note to Brown Company on January 1, 2014, and received cash of $47,664. The implicit interest rate is 12%. Prepare Samson's journal entries for (a) the January 1 issuance and (b) ..
|
|
Estimate the fraction of defective parts
: How many units would have to be sampled to be 95% confident that you can estimate the fraction of defective parts within 2% (using the information from today's sample--that is using the result that )?
|
|
Identify the null hypothesis and the alternative hypothesis
: Assume we want to use a 0.10 significance level to test the claim. (a) Identify the null hypothesis and the alternative hypothesis. (b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will r..
|