What statement is FALSE? Select one: D a. x2 distribution is skewed O b. tdistribution has a mean of zero 0 :3. x2 distribution is non-negative D d. Standard normal distribution has variance equal to 1 D e. F distribution is centered on its degrees of freedom.

A beverage company produces bottled Iuvater. The volume of the bottled water is 16.?oz and quality control requires the standard deviation of volume be at most 0.2oz. A new production line is recently installed and you are asked to see it the producing process meet the quality,r control requirement. In order to find the answer, the quality control department has randomlyr sampled 60 bottles of water produced with the new production line and finds a sample variance of 0.03. K2 0321;59:332-117; K2 6105594193. K2 o.st5,59=39-55. X2 u.ss,59=42-34 Find a 95% interval for the volume variance. Select one: Q a. [0.03223. 0.04141] [0.02155. 0.614463] [0.03, H.041 [3 9.66. 32.1 1?] [033, [LE]

Manager of a chicken farm wants to investigate the possibility of replacing the current chicken food with a new generation proven to result in heavier chickens. There are two brands A and B available and the manager would like to pick the better one before signing a contract with the chicken food seller. Using sample products of those brands, 35 new born chickens were fed A [population 1} and 40 were fed B (population 2} for a month. Sample means and standard deviations of chicken weights after the feeding period are 22.5 lbs and 1.? lbs for brand A and 21.1 lbs and 1.3 lbs for brand El. Brand B is recommended bva consulting companyr but the manager wants to test their claim and seeks to prove that brand A is superior. Construct a 95% confidence interval for the difference in means (Note: the two unknown population variances are equal}. 10.n25,73=1-993 to.oa,?3=1-555 in.u2s.sa=1-933 to.ns,ss=1-553 Fn.025.34,39=1-922 Fn.ns,34.3s=1-723 F0.n25,39,34=1-951 Fn.os.3s,34=1-749 Select one: D a. [—1.249,-D.21?] O b. [—D.35?2,3.8931] O c. [D.?082. 2091?] O cl. [0.4925, 3112?] D e. There is not enough information provided to compute the interval's limits.

Which of the following statement is incorrect? Select one: D a. x2 distribution is sym metric C} b. Standard normal distribution has zero mean 0 c. The meanr median and mode of normal distribution are the equal 0 d. F distribution is non—negative C} e. One should reject the null hypothesis more ifthe p—value is smaller

Suppose you're conducting a two—tailed test on a population mean with known population variance. The variance guantity was taken from an old study. A new study shows the population variance is larger than what you have been using so far and you decide to redo the procedure based on this new population variance and the original sample. Which of the following is likely to happen? Select one: C} a. The 95% confidence interval becomes tighter. C} b. The p—valueincreases. C} c. The absolute value of test statistic increases. 0 d. The rejection region becomes wider. C} e. Band D.

A producer of low—calorie protein bars wants to test if the product makes consumers eat fewer calories at lunchr so he can use this claim to improve the image of the product and get more clients. according to his advisors, people that eat these bars as morning snacks consume on average fewer calories than people who do not eat them. To have evidence that supports this claim, the companyr interviewed 200 people including 115 consumers and 85 non—consumers of the protein bars. Theyr collected information about the number of calories each person consumed at lunch. The collected data shows that the consumers of the protein bars eat on average 653 calories at lunchr and the non—consumers eat on average 65:] calories at lunch. Moreoverr the variance for the caloric consumption at lunch among consumers is 9923 and among non—consumers is 105?5. What is the value of the test statistics for this problem? {For this problem. assume unequal population variances]. Select one: Q a. [3.234 O b. [1212}? O c. 1.441 Q d. 6.243 C! e. 1.322