3)
X | X² | (Xi-1)² | (X - X̄)² |
13 | 169 | 144 | 0.51 |
12 | 144 | 121 | 0.08 |
15 | 225 | 196 | 7.37 |
10 | 100 | 81 | 5.22 |
9 | 81 | 64 | 10.80 |
11 | 121 | 100 | 1.65 |
16 | 256 | 225 | 13.796 |
a) sample size = 7
b) Σxi = 13+12+15+10+9+11+16 = 86
c) Σx² = 13²+12²+15²+10²+9²+11²+16² = 1096
d) Σ(X-1) = Σx - 7 = 86-7 = 79
e) Σ(Xi - 1)² = 931
f) (Σxi)² = 86² = 7396
g) mean = ΣX/n = 86.000
/ 7 = 12.2857
h) sample variance = Σ(X - X̄)²/(n-1)=
39.4286 / 6 =
6.571
i) sample std dev = √ [ Σ(X - X̄)²/(n-1)] =
√ (39.4286/6) =
2.563
j) sample median = 4th value of sorted data = 12
k) sample mode=there is no mode
robem(1) Applications of statisties can be divided into two broad descript Andmernal states. Use your own...
1 2 3 Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.92, and by the second inspector with probability 0.7. Assume the inspectors function independently Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it? Round the answer to three...
Problem 1. Consider the two data collections (x,..-, X) and (y,. ya). The median difference statistic is the median of the (v-x) differences for the mn possible (x, y.) pairings, i= 1, ..., mandj = 1, . . ., n. Construct two specific data collections (x,. Xm) and (y,. .. V) that demonstrate that the median difference statistic is not equal to the difference in the separate medians for the two collections Problem 2. A Venn diagram is a graphical...
(a)-(d)? Problem(11) (10 points) Let Z~Normal(0, 1). Recall the definition of -value, i.e., P(Z>)-r. (a) (1 point) Find the probability of P(-2a/2<Z < 2a/2) (b) (3 points) Let X1, X2, , Xa be a random sample from some known) mean p and (known) variance o2. Based on the Central Limit Theorm and part (a) above, show that the confidence intervals for the population mean u can be estimated by population with (un- P(x- <pAX+Za/2 =1-a. Za/2 (c) (2 points) The...
Problem #3: Let A and B be two events on the sample space S. Then show that a. P(B) P(AOB)+P(AnB) b. If Bc A, then show that P(A)2 P(B) Show that P(A| B)=1-P(A|B) C. P(A) d. If A and B are mutually exclusive events then show that P(A| AUB) = PA)+P(B) Problem 4: If A and B are independent events then show that A and B are independent. If A and B are independent then show that A and B...
hi can you please help me understant how to know when to reject or fail reject ho Aps/J0.250. 72) //30 9a05 1.oIS Perform the indicated hypothesis test using p-xalue method. 7) A medical school claims that/more than 28% of its students plan to go into general practice. It is found that among a random sample of1500f the school's students, 32 % of them plan to go into 7) HANDOU general practice. Find the P-value for a test of the schools...
1. In a simple random sample of n = 840 voters, X = 609 indicate that they will start holiday shopping this weekend. (a) Find the 95% confidence interval for p and the margin of error. (b) Use the six-step method of hypothesis testing to determine if the proportion is significantly different from 0.75. Use α = 0.05. (c) Is your conclusion the same with the test and the confidence interval? (d) How would the p-value change if you used...
can you do this project for me like use baseball and batting averages or whatever you feel like using we had to create our own problem Statistics project For this project you will be picking a topic and doing a hypothesis test for that topic. There will be five parts for this project. The four steps that I have outlined in the course, null and alternate hypothesis, check requirements, find the test statistic and p-value, and compare p-value and write...
CLO-3-5 Answer the following Questions 1) What do you mean by process is under Statistical Ouality Control OR What is difference between Variable data and Attribute data with one example 3 marks 12) Variations can take place in any manufacturing set up. List any four reasons for these variations 3 marks 13) Give the classification of Quality Control Charts 14) When all the points are with in the control limits. what are possible reasons for which it may prove the...
1. Many companies use a incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of n components can be viewed as the n trials of a binomial experimem. The outcome for each component tested (trialD will be that the component is classified as good or defective defective components in the lot do not exceed 1 %. Suppose a random sample of fiver...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2 3 .14 .25 .01 2 33 .10 .07 3 .03 .05 .02 Find the marginal probability distribution of Y and graph it. Show your calculations. b. Find the conditional probability distribution of Y (given that X = 2) and graph it. Show your calculations. c. Do your results in (a) and (b) satisfy the probability distribution requirements? Explain clearly. d. Find the correlation coefficient...