1. Suppose the average weight of a sample of 25 packets of garlic cloves has a mean weight of 499.29g with a standard deviation of 5g

Calculate the t test stat for testing the claim the mean weight is less 500g also find the pvalue for testing the claim by entering probability t distribution df=24

into wolframalpha.com for example if your t test stat is -1.5 enter probability t distribution df=24<-1.5 into wolframalpha.com

Note that in question you use wolframalpha.com , You might not have access to wolframalpha,com in the exam but you do have access to the t table, using the t table -t,0.05,24 =-1.711

so you know the Pvalue will be less than 0.05 if the test stat is less than -1.711

Choose the answer:

a.the Pvalue is 0.14

b.the test stat is -0.71

c.the Pvalue is 0.24

d.the test stat is -0.81

2.Suppose you have a sample of 10,000 potential customers and 1986 would buy the product.

Calculate the test stat for testing the claim the proportion is less than 20% also use wolframalpha.com to calculate the Pvalue using the test stat enter probability Z distribution < test stat so if the test stat is -1.3 enter probability Z distribution< -1.3 into wolframalpha.com

Choose the answer:

a.The pvalue is 0.36

b.The z test stat for one sample proportion is -0.450

c.The z test stat for one sample proportion is -0.350

d.The pvalue is 0.26

3.Suppose you have a sample of 10,000 voters and5090 voters support a politician

Calculate the z test stat for testing if the proportion is more than 50%

Also find the Pvalue by using wolframalpha.com enter probability Z distribution > test stat so if your test stat is 1.2 enter probability Z distribution > 1.2 into wolframalpha.com

It is not required for this question but if you did not have access to wolframalpha.com you could use the fact that Z0.05 =1.645 so if the test stat is more than 1.645 then the pvalue is less than 0.05

Choose the answer:

a.The test stat is 1.80

b.he pvlaue is -0.06

c.the pvlaue is 0.04

d.The test stat is 1.70