Question

1.

In order to test the claim that average amount spent for lunch per day by MSU students is not $ 7.25. A random sample of 40 students is taken. After calculating sample mean and standard deviation p- value is found to be 0.0482. Which one of the following statement is correct.

Question 6 options:

	Reject H0 at 95% confidence level
	Reject H0 at 99% confidence level
	Reject H0 at 98% confidence level
	Reject H0 at 96% confidence level

2. US department of labor wanted to compare the average unemployment rate in two different states California and Washington. From California they took a sample of size 12 and found that sample mean 20.32 and sample standard deviation is 3.55. From Washington they took a sample of size 15 and found that sample mean 21.24 and sample standard deviation is 2.70. Find the critical value (use t-table) to compute 95% confidence interval of the true difference in population.  

3.

Following data shows number of ICU admission (X) and number of death per day (Y) for seven days due to COVID-19 virus. Calculate the test value to test the hypothesis there is no significant correlation between X and Y.

Day	ICU admission (X)	Death (Y)
1	21	2
2	15	5
3	26	6
4	30	12
5	35	15
6	25	9
7	40	18
Total	192	67

4. According to the data published by Minnesota Dept of Health, as of May 2, 2020 there are total 6228 conformed positive cases of COVID-19 and 395 death due to the virus. Find the point estimate of the death rate due to COVID-19 in Minnesota.

5. The CEO of a large electric utility claims that more than 82 percent of his 2,500,000 customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 200 customers, using simple random sampling. Among the sampled customers, 174 say they are very satisfied. Find the p value to test this claim.

Answer 1