please solve all the 7 question that you find in file of Statistical_inference and also the question in the PDF and you will find the data of the excel file I believe its for question # 2. please provide the solutions steps.

\fDay Bowls 1 0.2340227221 2 2.549318716 3 0.3018856996 4 1.0351737395 5 0.445554348 6 2.4116792351 7 0.8954809244 8 2.2787091885 9 1.3586076602 10 2.9645740207 11 0.083261312 12 1.1576454107 13 2.3898081266 14 2.4886944934 15 2.0206951054 16 2.4254588188 17 2.8743759363 18 0.4729375403 19 0.5476403668 20 1.7740873583 21 2.5799847375 22 2.3837351029 23 1.1066444557 24 1.0370226824 25 1.4814760443 26 1.2886944438 27 ECON 210 - Economic Statistics Problem Set IV 1) The average male drinks about 2 liters of water when active outdoors per day (with a standard deviation of 0.7 liters). A travel guide is planning a full day trip with a group of 50 men and plans to bring 110 liters of water. What is the probability that the group will run out of water? 2) An insurance company wants to audit health insurance claims in its very large database of transactions. In a quick attempt to assess the level of overstatement of this database, the insurance company selects at random 400 items from the database (each item represents a dollar amount). Suppose that the population mean overstatement of the entire database is $8, with population standard deviation $20. (i) Find the probability that the sample mean of the 400 would be less than $6.50. (ii) Why can we use the normal distribution in obtaining an answer to part (i)? (iii) For what value of w can we say that P(p-w 2.2) 2.22 P(X^=2.2)=P(Z 0.7/ 50 ) =P (Z2.202) =1-P(Z 2500 Test statistic. P (Z 2.75) = P(Z 2 65.5 t= 2.932 4.9 2 + 28 32 =0.4864 Critical-value at n1+n2-2=58 d.f=2.3924 P-value=0.314 Decision at = 0.01. Fail to Reject Ho because p-value (0.314) 0.01 Conclusion. There is no sufficient evidence to support the claim that Economists are the most narcissistic beings on the planet 7. Textbook Question 7.21. a. Yes, we can since the sample is random and we are testing if the rating is equal to a specific value from 0-11.This is like testing the mean of a sample whose entries are actual numbers from 0 to 11 b. H0: =0, Ha:0 (0.550) Z= 2.16 / 69 =2.115 Critical value at =0.05=1.96 Therefore, reject H0 and conclude that the mean is different from zero. 1. The average male drinks about 2 liters of water when active outdoors per day (with a standard deviation of 0.7 liters). A travel guide is planning a full day trip with a group of 50 men and plans to bring 110 liters of water. What is the probability that the group will run out of water? =2l Sigma=0.7 X-bar=110/50=2.2l P(run out)=P(use more than 110)=P(X-bar2.2) 2.22 P(X^=2.2)=P(Z 0.7/ 50 ) =P (Z2.202) =1-P(Z 2500 Test statistic. P (Z 2.75) = P(Z 2 65.5 t= 2.932 4.9 2 + 28 32 =0.4864 Critical-value at n1+n2-2=58 d.f=2.3924 P-value=0.314 Decision at = 0.01. Fail to Reject Ho because p-value (0.314) 0.01 Conclusion. There is no sufficient evidence to support the claim that Economists are the most narcissistic beings on the planet 7. Textbook Question 7.21. a. Yes, we can since the sample is random and we are testing if the rating is equal to a specific value from 0-11.This is like testing the mean of a sample whose entries are actual numbers from 0 to 11 b. H0: =0, Ha:0 (0.550) Z= 2.16 / 69 =2.115 Critical value at =0.05=1.96 Therefore, reject H0 and conclude that the mean is different from zero