I need help with this question please! We got a new teacher over spring break an

Question

I need help with this question please! We got a new teacher over spring break and he just threw this assignment at us and I am so lost! Can you show the work on how it is done please?

Thanks! I have uploaded 2 pictures of some charts we were given not sure if it will help you or not.

Question 1:

You calculate a one-sample t test with a sample size of 5. SPSS tells you that the t value is 3.45 Assume a two-tailed test. What do you conclude? 1. b. You calculate a one-sample t test with a sample size of 3. SPSS tells you that the t value is 1.475 Assume a one-tailed test (on the right side of the curve). What do you conclude? c. You calculate a dependent samples t test with a sample size of 15. SPSS tells you that the t value is- 1.876. Assume a one-tailed test (on the left side of the curve). What do you conclude? d. You calculate a dependent samples t test with a sample size of 25. SPSS tells you that the t value is 1.709. Assume a one-tailed test (on the right side of the curve). What do you conclude? e. Let's say we know the average household income in the United States is $60,000. We want to know if the average income in the Culture Cultural neighborhood of Flint is higher than the national average. We survey six people and collect the following data: $50,000; $30,000; $25,000; $40,000; $20,000; $60,000 Calculate t by hand (showing your work) and make a conclusion f. We are interested in changes in pollution levels over time. We test five brownfield sites in Flint over a ten year period. Let's say that contamination is rated 1-100, with 100 meaning that the site is very contaminated. We collected the following data (below). Calculate t by hand (showing your work) and determine if there has been an increase in contamination over time Site Year 2000 Year 2010 27 46 12 98 51 8 4 *Note, when doing a real study, you need much larger sample sizes than what were used in this homework. We are using small sample sizes just to demonstrate how the process works and how the statistics are calculated

Explanation / Answer

SOlution-

1. Vaue of t statistic = 3.45 and sample size, n = 5

SO critical value of t test is given by - t5-1,0.05 = t4,0.05 = 2.131 [ one tailed test ]

As value of t statistic is greater than critical value, then null hypothesis is rejected at 5% level of significance.

2. Vaue of t statistic = 1.475 and sample size, n = 3

SO critical value of t test is given by- t3-1,0.05 = t2,0.05 = 2.919 [ one tailed test ]

As value of t statistic is less than critical value, then null hypothesis is not rejected at 5% level of significance.

3. Vaue of t statistic = -1.876 and sample size, n = 15

SO critical value of t test is given by - t15-1,0.95 = t14,0.95 = -1.76 [ one tailed test ]

As value of t statistic is less than critical value, then null hypothesis is rejected at 5% level of significance.

4. Vaue of t statistic = 1.709 and sample size, n = 25

SO critical value of t test is given by - t25-1,0.05 = t24,0.05 = 1.171 [ two tailed test ]

As value of t statistic is less than critical value, then null hypothesis is not rejected at 5% level of significance.

Thanks!

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