Question 3 Workers at a private business was given a grade (A, B, C) based on their yearly performance. The data was recorded along with the depurtament they belong. The results obtained using MINITAB are shown below: Expected counta are printed below observed counts Total 12 Accounting (12.960) (7.830) (6.210) 17 10 Sales (16.800) (10.150) (8.050) 35 19 11 Marketing (18.240) (**) (8.740) 38 Total 48 29 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + 0.0024 0.0022 + 0.0003 + 0.0317 0.0000 + *** -0.2746 DF - 2?, p-value - 22? a) Carefully define the null and altermative hypotheses of the test of the above table. b) Find the missing values ,* *, * 7, ??? e) What is the conclusion of this test? Give reasons for your answer.

Suppose the value of a stock varies each day from $10.82 to $23.17 with a uniform distribution. Find the third quartile, i.e. , 75% of all days the stock is below what value ?

Survey was conducted about real estate prices. Data collected is 183237, 273290, 394891, 471556, 505379, 636091, 779283, 895021, 966565, 1012251, 1193014, 1212547, 1359408. What is the 85th percentile price?

The following are the GPAs of 18 r/s SCC students:1.3, 1.5, 1.7, 2.2, 2.5, 2.6, 2.6, 2.6, 2.6, 2.8, 2.9, 2.9, 3.0, 3.1, 3.5, 3.5, 3.6, 3.9(a) Find the 70th percentile of the data.(b) Find the median and Q1and Q3Make sure you properly justify how to find them.(c)Find all outliers using the IQR method d) Draw the box plot of this data

Compute each of the single-variable statistics discussed in class for the data below:   84.7 58.2 89.1 89.7 44.3 91.9 68.3 84.1 94.9 58.2 Find the mean, median, mode, 1st quartile, 3rd quartile, standard deviation, range, variance.

Ms. Lorraine Finch, a fifth grade teacher has a large class of 50 students for the 2018 - 2019 school year. After giving a reading comprehension test, Ms. Finch decided to do a brief statistical analysis. A frequency distribution of the results is presented below. a. Fill in the missing pa rts of Ms. Finch’s frequency distribution. Do any necessary scrap work in the space next to the table. b. Construct a histogram of the frequency distribution.   c Is the distribution of test scores normal? Explain.   Score   Frequency   Relative Frequency 84         2                    0.04 85         5                     0.1 86                                 0.08 87       8                       0.16 88       10                      89        90      5                         0.1 91       4                         0.08 92       3                         0.06

Q1]. [30%] The data for this question given in the table below come from the sample data folder of MINITAB. The data give you the monthly number of people employed (in units of 1000) in the retail trade industry in the state of Wisconsin from January 1970 to December 1974. Copy this timeseries data into an excel spreadsheet in your home area first before you start your analysis. You can use Excel to answer this question. Month 1970 1971 1972 1973 1974 1 322 322 330 348 361 2 317 318 326 345 354 3 319 320 329 349 357 4 323 326 337 355 367 5 327 332 345 362 376 6 328 334 350 367 381 7 325 335 351 366 381 8 326 336 354 370 383 9 330 335 355 371 384 10 334 338 357 375 387 11 337 342 362 380 392 12 341 348 368 385 396 (a) (b) (c) (d) Draw a time series plot of the data and comment on any noticeable patterns. Describe an appropriate time series model for this data, giving your reasons, and obtain estimates of the components of your model using the decomposition method. Using your model…

For scenarios of statistical studies are given below. Decide which study uses a population parameter. And estimated 15% of Americans don't use the Internet. Lakeside family dentistry reported that six of the 15 patients who came in for regular cleaning one day had at least one cavity.