Central Michigan University Business Statistics Homework Paper i have done working on the all of the questions accept the last two if you could help me as

Central Michigan University Business Statistics Homework Paper i have done working on the all of the questions accept the last two if you could help me as soon as possible i only have 1 hour left for the due date. so for the last two questions you have to look at the instructions first and then see the other two files Homework Problems for Block 1-4 using Minitab version -19
This file includes the guidelines/instructions on the homework as well as Homework
Problems
Students can use IS 242 Business Statistics or Basic Business Statistics by Berenson, et al 13th
ed. The homework file shows page numbers of both books, IS 242 Business Statistics and the
original text – Basic Business Statistics by Berenson, Levine, Szabat 13th edition. Where BB
means Basic Business Statistics 13th ed by Berenson et al.
There are 4 sets of homework, one set for each block. Some problems in the homework require
using the Minitab – version 19 program and data files. Minitab program is installed on all the
PCs on the SCSU campus. Off-campus, users can access Minitab program through APPS
ANYWHERE (virtual lab),
All the data files for the Homework are posted on the D2L in Minitab Data for Homework or
Excel Data for Homework module. Download the Minitab/Excel data files on your USB (or a
PC with Minitab program installed). Log on a Campus PC and open Minitab 19 or access
Minitab 19 through AppsAnywhere. After open Minitab-19, follow the steps explained in each
problem. Refer “AppsAnywhere & Minitab 19 Using Tips” file posted on D2L
The homework should be submitted in an MS Word format file. Use copy and paste to include
Minitab outputs and graphs in the Word file to submit. Homework should be an independent
work for each student. All the submitted contents are evaluated and graded, clear violations of
homework guides, unnecessary or inconsistent contents will be penalized.
Submit all questions in each block in one packet with clear identification information such as the
name of the student, course number, homework number, problem number, sub-number, etc. For
example, 1.4 Do problems 3 and 5 on page 262 (Problems for Section 2 in The Normal Distribution
and Other Continuous Distributions Chapter) by showing all steps, 1.4 is Homework number; 3 and
5 are problem numbers, and (a) in 3 is sub-number.
Block 2 Homework Problems (100 pts):
2.1 Describe the three properties (characteristics) of the sampling distribution of the
sample mean which include properties on the shape, mean and standard error, limit the
answer with 50 or fewer words, and number them (20 pts). Refer 7.2 or summary
posted on D2L
2.2 The following problems are related to Section 2 in Sampling Distributions chapter
and also similar with problem 1 or 2 in page 295 (Problem 7.1 page 261 in BB – Book
by Berenson et al) (10 pts).
Given a normal distribution of µ = 100 σ = 10 if you select sample of n=25, what is the
probability that x̅ is
a) Less than 95?
b) between 95 and 97.5?
c) above 90?
d) there is a 65% chance that x̅ is above what value?
Refer that X has a normal distribution of mean = µ and standard deviation = σ, then z
has the standard normal distribution, where z = ( ͞χ – µ)/ / n and χ
͞ is mean of X.
2.3 Do problems 1 and 2 in page 316 (Problem 8.1-2 page 278 in BB) (Problems for
Section 1 in Confidence Interval Chapter), problem 11 on page 323 (Problem 8.11 page
285 in BB) (Problems for Section 2 in Confidence Interval Chapter) and problems 34
and 35 in page 332 (Problem 8.34-35 page 294 in BB) (Problems for Section 4 in
Confidence Interval Chapter) (20 pts).
Refer that the confidence interval is given as
σ is known, use
͞
χ
± zα/2 / n
For a 90% confidence interval use zα/2 = z 0.05 = 1.645
For a 95% confidence interval use zα/2 = z 0.25 = 1.96
For a 99% confidence interval use zα/2 = z 0.005 = 2.58
σ is unknown, use ͞χ ± tα/2 , df s/ n
Use tα/2 , df from t-table with df = n-1 (df is degrees of freedom)
Sample size n = [ zα/2 σ/e]2 where zα/2 from a confidence level, e=size of
error and σ population standard deviation; Specify the level of accuracy in terms
of error (e) and confidence level and determine the required sample size.
2.4 Do problem 13 in page 363 (Problem 9.13 page 321 in BB) (Problems for Section 1
in Fundamentals of hypothesis testing Chapter) (10 pts)
2.5 Confidence intervals; use MINITAB for the FORCE data file which is in the Minitab
Data for Homework, construct confidence intervals of the population mean force
(90%, 95%, and 99%) using t-distribution (10 pts).
To get the Minitab output:
To open Force file on a PC with Minitab installed:
Select.File → Open, select the data file (Force) → click open and OK( if Minitab format file does not
open, open Excel format file)
Go to top-line menu, and click Stat → Basic statistics → 1t – 1 Sample t
In the dialog box, choose One or more Samples, each in a column from the top-right pulldown menu box, and
double-click Force in the left column, to copy in the second-right box.
Click Options in the dialogue box (1-Sample t – Options), enter 90.0 in the Confidence level Box.
Click Ok and Ok.
Go to top-line menu and repeat for confidence level 95.0 and 99.0
The session window shows output (results), Select (mark) results, copy and paste on Word file to submit.
2. 6. Hypothesis tests –Use Minitab, answer problem 30, part a) on page 368 (Problem
9.30 page 326 in BB) (applying the concepts in Fundamentals of hypothesis testing
Chapter), use both t and p-value for DRINK file use α = 0.05.
Submit your own Minitab output with Hypothesis test using t and showing all 6 steps as
in pages 364-5 (page 322-324 in BB) (critical value approach section in Fundamentals
of hypothesis testing Chapter) (to simplify combine steps 3 and 4 together, then the sixstep approach becomes a five-step approach which is more common) and p-value (5
steps as in page 366 in P-value approach).
Test the hypothesis using the t following the 5 steps, and repeat the test
hypothesis using p-Value following 5 steps. (30 pts)
To get the Minitab output:
To open Drink file in a PC with Minitab installed:
Select.File → Open, select the data file (Drink) → click open and OK
Go to topline menu – click Stat → Basic statistics –> 1t 1 Sample t
In the dialog box, choose One or more Samples, each in a column from the top-right pulldown menu box, and
double-click Amount in the left column to enter the name of the column Amount to One or more Samples, each in
a column box (or simply type in Amount)
Check to Perform hypothesis test, type 2 in the Hypothesized mean box
Click Ok
You will get the following output (T-Value and P-value are deleted intentionally)
Descriptive Statistics
N
Mean
StDev SE Mean
50 2.00072 0.04456
90% CI for μ
0.00630 (1.99015, 2.01129)
μ: mean of Amount
Test
Null hypothesis
H₀: μ = 2
Alternative hypothesis H₁: μ ≠ 2
T-Value P-Value
———–
———
Use the T-value and p-value for the hypothesis test by following 5-step below
5 steps using t-value are:
1. State H0 and H1
2. Determine the level of significance of test: α such as 0.01. 0.05 or 0.1
3. Set-up critical value(s) – this means determining what test statistic to use and
rejection area(s) – this step is a combination of steps 3 and 4 in the 6 steps Critical
value approach in page 364 of text in Fundamentals of Hypothesis Testing: OneSample Tests Chapter. {For p-value, reject H0 if p-value < α} 4. Calculate the test statistic (use t = 0.11 from above Minitab output) 5. Make inference – conclusion 5 steps using p-Value (as a test statistic) are: 1. State H0 and H1 2. Determine the level of significance of test: α such as 0.01. 0.05 or 0.1 3. Set-up critical value(s): reject H0 if p-value < α 4. Calculate the test statistic (use p-value = 0.910 from above Minitab output) 5. Make inference – conclusion Both methods, using t or p-value for the same set of data., should lead the same conclusion. Force 1870 1728 1656 1610 1634 1784 1522 1696 1592 1662 1866 1764 1734 1662 1734 1774 1550 1756 1762 1866 1820 1744 1788 1688 1810 1752 1680 1810 1652 1736 Amount 2.109 2.086 2.066 2.075 2.065 2.057 2.052 2.044 2.036 2.038 2.031 2.029 2.025 2.029 2.023 2.020 2.015 2.014 2.013 2.014 2.012 2.012 2.012 2.010 2.005 2.003 1.999 1.996 1.997 1.992 1.994 1.986 1.984 1.981 1.973 1.975 1.971 1.969 1.966 1.967 1.963 1.957 1.951 1.951 1.947 1.941 1.941 1.938 1.908 1.894 Purchase answer to see full attachment