STAT 200 Homework Assignment 7 | 2,3,5,8,9 Solution

Homework Assignment 7

Stat 200 
Instructions: Be sure to record the final answer next to “Answer” and show all your calculation steps or assumptions under “Work.” You can type in your calculations, use the equation tool, or insert images of your handwritten calculations. 
The case studies are all at the end of the book. To find them, use ctrl+f and search for "case studies", but you could also just find it in the full table of contents for the book. For example, here is the link to the ADHD case study:  http://onlinestatbook.com/2/case_studies/adhd.html
Remember to add your last and first name to the end of the file name and upload your answers here (e.g., FILENAME_LASTNAME.docx) before submitting. 
*Page numbers are approximate
Problem Number    Problem and Solution
#1
(2 pts)    Text    Chapter    Exercise     page
Lane et al.    14    2    512

#2
(2 pts)    Text    Chapter    Exercise     page
Lane et al.    14    6    512

 
#3
(2 pts)    Text    Chapter    Exercise     page
Lane et al.    17    5    614

  
#4
(2 pts)    Text    Chapter    Exercise     page
Lane et al.    17    14    617
 

#5
(2 pts)    Text    Chapter    Exercise     page
Illowsky et al.    11    72    611

Use the chi-square solution sheet in Appendix E of your textbook to solve this problem.

72. A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair. The data below are the result of the 120 rolls.
Face Value            Frequency           Expected Frequency
1                                 15
2                                 29
3                                 16
4                                 15
5                                 30
6                                 15

    
#6
(2 pts)    Text    Chapter    Exercise     page
Illowsky et al.    11    102    618

#7
(2 pts)    Text    Chapter    Exercise     page
Illowsky et al.    11    123    620

Use the chi-square solution sheet in Appendix E of your textbook to solve this problem.

123. Isabella, an accomplished Bay to Breakers runner, claims that the standard deviation for her time to run the 7.5 mile race is at most three minutes. To test her claim, Rupinder looks up five of her race times. They are 55 minutes, 61 minutes, 58 minutes, 63 minutes, and 57 minutes.

#8
(2 pts)    Text    Chapter    Exercise     page
Illowsky et al.    11    129a    620

Use the chi-square solution sheet in Appendix E of your textbook to solve this problem.

129. A company packages apples by weight. One of the weight grades is Class A apples. Class A apples have a mean weight of 150 g, and there is a maximum allowed weight tolerance of 5% above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a Class A apple package. Given the following apple weights of the batch, does the fruit comply with the Class A grade weight tolerance requirements? Conduct an appropriate hypothesis test.
Weights in selected apple batch (in grams): 158; 167; 149; 169; 164; 139; 154; 150; 157; 171; 152; 161; 141; 166; 172
(a) at the 5% significance level

    
#9
(2 pts)    Text    Chapter    Exercise     page
Illowsky et al.    12    66    673

#10
(2 pts)    Text    Chapter    Exercise     page
Illowsky et al.    12    82    680