A basic arbitrary example of 10 individuals from a specific populace has a mean age of 27. Would we be able to reason that the mean age of the populace isn't 30? The change is 20. Test at the 0.05 level. Is this a couple of tail test?
For a similar set up as above, would we be able to reason that the mean age of the populace is under 30? Is this a one or a two followed test?
A place of business utilizes lights that have a mean existence of 900 hours. Another producer guarantees that his lights last more than 900 hours. They request you to direct a test to decide the legitimacy from their case. You take an example of 64 bulbs and compute a mean of 920 hours with a standard deviation of 80 hours. Test this at .05 level.
An eatery tells its clients that the normal expense of a supper there is $52 with a standard deviation of $4.50. A gathering of concerned clients feels that the normal expense is higher. To test the eateries guarantee, 100 clients buy a supper at the store and track down the mean cost is $52.80. Play out a speculation test at .05 importance level and express the choice.
Play out a similar test as above, however accept just 15 clients bought supper. The wide range of various boundaries are something very similar. How does this influence the aftereffects of the test?
An example of 40 deals receipts from a gadgets store has mean $137 and a standard deviation of $30.2. Utilize the worth to test whether the mean deals at the hardware store are not the same as $150. Test at the .01 level.
On the off chance that you get a p-worth of .001, do you dismiss the invalid speculation at the 0.05 level? The 0.01 level?
You accept that a populace mean is equivalent to 6.2. To test this conviction, you theory test at the .05 level dependent on an example of information that you gathered:
a. Mean = 5.9
b. Standard deviation is 4.1
c. Test size =42
Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water Location 1 2 3 4 5 6 Sample Mean Sample SD Bottom (B) 0.430 0.266 0.567 0.531 0.707 0.716 0.5362 0.1564 Surface (S) 0.415 0.238 0.390 0.410 0.605 0.609 0.4445 0.1294 Difference (B - S) 0.015 0.028 0.177 0.121 0.102 0.107 0.09167 0.0554 You may assume the data are normally distributed. Is there sufficient evidence, at o = 0.05. that there is a higher concentration of zinc in bottom water than of the surface, on average? Calculate the test statistic. 3.32 4.05 0.42 1.90Question 8 (5 points) Two technicians measured the surface finish of a metal part, obtaining the data presented in the table below. Assume that the measurements are normally distributed. The to test statistic was calculated for these measurements resulting in a value of to = 0.11. Using of = 0.05 and assuming equal variances, the following test hypothesis was tested for the mean surface finish measurements made by the two technicians: Hot #1 - /2 = 0. Hi: /1 - /2 0 Based on the above information, which of the following statement(s) are correct? Technician 1 Technician 2 1.45 1.54 1.37 1.41 1.21 1.56 1.54 1.37 1.48 1.20 1.29 1.31 1.34 1.27 1.35 Do not reject the Ho and conclude that there is sufficient statistical evidence of a difference between measurements obtained by the two technicians The degree of freedom of the calculated test statistic is N-1 = 6. The mean surface finish measurements by the two technicians are not statistically equal. If the null hypothesis should be rejected, we would be concerned that the technicians obtain different measurements. It does not matter which technician measures parts; the readings will be statistically the sameTwo technicians measured the surface finish of a metal part, obtaining the data presented in the table below. Assume that the measurements are normally distributed. The to test statistic was calculated for these measurements resulting in a value of to = 0.11. Using & = 0.05 and assuming equal variances, the following test hypothesis was tested for the mean surface finish measurements made by the two technicians: Ho: HI - H2 = 0, H1:/1 - 12+ 0 Based on the above information, which of the following statement(s) are correct? Technician 1 Technician 2 1.45 1.54 1.37 1.41 1.21 1.56 1.54 1.37 1.48 1.20 1.29 1.31 1.34 1.27 1.35 If the null hypothesis should be rejected, we would be concerned that the technicians obtain different measurements. It does not matter which technician measures parts; the readings will be statistically the same Do not reject the Ho and conclude that there is sufficient statistical evidence of a difference between measurements obtained by the two technicians The degree of freedom of the calculated test statistic is N-1 = 6. The mean surface finish measurements by the two technicians are not statistically equal