MAT 162: Statistical Reasoning

Project #5: Lessons 12 & 13 "Is There a Significant Difference Between Men's and Women's Systolic Blood Pressures?"

Directions Overview: You will explore a pair of datasets provided by your instructor and report on the procedures, results, and conclusions. In your report, be sure to use full sentences, and justify your answers using specific details or values as appropriate. The following template will guide you through this process.

This is the data and the questions I need answered are as followed:

Women's data:

Sample #1	Sample #2	Sample #3	Sample #4	Sample #5	Sample #6	Sample #7	Sample #8	Sample #9	Sample #10
94	118	127	107	110	101	102	115	117	116
152	141	133	95	99	129	115	143	130	118
103	117	117	125	118	152	122	115	104	142
96	84	103	106	108	99	110	99	121	143
102	98	142	121	113	117	167	129	98	121
127	122	135	111	107	142	133	128	109	119
132	126	119	116	106	115	159	132	161	112
160	100	104	114	115	114	131	142	170	124
128	160	133	126	118	144	161	152	105	119
133	116	156	99	106	126	104	108	103	163
112	102	151	120	104	103	109	126	102	114
117	113	92	97	135	141	117	119	121	106
104	105	127	114	139	106	106	105	125	103
112	120	127	129	126	107	110	92	97	149
124	133	131	156	112	143	117	108	105	118
129	98	97	132	118	161	115	108	129	108
104	113	115	133	105	84	104	101	110	99
107	160	106	101	124	102	89	107	116	120
108	108	130	131	111	103	137	126	138	111
109	104	102	131	100	115	105	116	107	102
105	120	137	110	96	114	157	164	114	103
133	100	91	119	148	104	115	111	141	115
108	119	118	96	106	91	104	106	133	102
126	116	112	104	124	142	139	108	110	105
141	105	116	103	127	132	138	96	120	143
130	107	157	119	103	102	99	123	92	125
142	114	123	101	112	109	102	95	134	120
120	111	114	112	100	108	123	122	89	116
124	135	116	131	103	123	125	89	110	110
114	114	101	117	124	103	120	83	121	98
105	123	116	108	111	168	158	107	140	115
107	127	105	111	149	152	120	114	125	133
115	131	114	124	122	95	109	119	120	128
95	97	143	135	110	99	99	112	119	196
128	116	148	113	117	111	161	105	108	141
102	99	114	106	107	109	102	130	161	118
138	105	114	158	114	105	141	148	111	104
101	112	106	105	103	128	102	121	99	89
129	115	106	110	106	136	107	109	154	160
109	109	116	217	122	111	95	140	102	137
120	133	106	118	105	92	129	127	114	108
104	158	126	98	107	131	98	109	138	120
124	121	113	118	105	101	104	115	106	100
128	112	135	92	131	119	112	96	144	128
109	90	142	114	101	132	123	97	193	130
114	118	115	136	107	102	132	124	124	119
97	138	102	95	113	153	116	89	166	101
86	103	103	116	124	150	117	113	100	106
134	114	112	105	133	133	134	111	113	113
102	124	114	109	120	123	114	119	96	116
103	120	100	112	100	112	104	104	138	108
138	113	107	136	163	129	124	116	109	101
112	160	111	112	129	117	105	94	136	97
113	113	129	113	137	105	100	160	110	128
132	158	141	196	97	121	152	119	120	99
112	101	136	121	123	160	105	142	160	104
96	133	113	86	123	112	145	146	132	156
102	117	100	114	142	153	101	108	117	103
100	121	112	137	102	113	109	101	121	105
105	122	116	91	158	107	112	124	108	108

Men's data:

Sample #11	Sample #12	Sample #13	Sample #14	Sample #15	Sample #16	Sample #17	Sample #18	Sample #19	Sample #20
99	126	106	113	139	146	114	123	153	111
115	148	139	121	109	130	158	120	115	121
114	119	122	119	105	100	132	114	119	127
119	123	119	108	111	138	128	105	136	137
144	154	115	108	121	131	120	122	146	158
130	111	121	174	120	126	120	122	131	113
105	130	112	132	116	98	110	145	105	131
128	118	119	105	122	125	111	115	107	111
117	134	103	104	141	126	121	167	126	111
118	107	114	114	153	121	139	125	116	129
115	109	125	131	103	123	118	118	122	123
144	136	134	119	113	100	107	111	129	121
165	104	121	149	134	120	122	171	143	141
118	120	130	119	119	130	130	108	138	111
116	124	117	113	137	122	114	136	129	147
110	120	102	108	130	107	128	128	131	122
119	110	108	117	132	122	111	120	93	137
116	112	120	118	143	136	111	133	108	123
114	152	126	100	125	113	121	130	129	122
118	120	115	107	111	106	123	122	99	136
124	118	120	111	135	136	110	109	110	115
149	122	109	124	131	102	125	124	120	129
113	147	127	130	130	113	126	103	115	140
112	160	124	102	108	118	123	111	142	119
135	102	119	109	159	91	110	113	116	98
141	125	121	119	118	131	99	111	112	109
145	120	123	125	132	159	114	95	136	119
130	126	119	140	171	180	159	145	112	139
134	121	127	107	93	120	116	109	96	142
126	119	125	121	125	115	109	119	114	117
120	112	113	128	106	130	141	102	156	114
116	140	128	125	112	126	137	113	114	114
113	116	130	118	111	107	121	139	108	120
122	129	121	191	118	138	113	101	129	148
141	110	103	123	119	142	128	127	105	114
124	137	139	145	100	138	126	137	101	88
159	106	119	138	118	120	133	161	137	93
133	141	114	111	95	116	146	125	111	126
120	113	165	105	112	122	107	105	122	113
121	119	121	130	139	112	115	160	126	147
125	116	109	98	125	135	137	149	116	103
122	119	111	111	117	128	107	103	102	135
118	137	129	133	107	121	111	112	150	110
131	118	122	108	141	139	88	116	132	137
130	137	121	142	130	119	108	115	114	113
96	114	125	137	109	156	129	123	112	134
129	124	128	112	112	109	127	115	129	120
114	133	138	135	124	141	125	130	120	109
124	122	134	120	114	109	153	125	141	149
125	164	151	129	112	110	113	132	104	107
126	179	131	102	134	98	119	110	131	111
146	113	131	122	120	126	104	120	119	125
139	96	116	124	114	100	125	111	110	130
110	116	132	140	132	125	121	138	126	120
143	112	116	118	112	133	116	107	126	147
138	122	101	129	122	154	193	118	122	126
132	124	129	123	125	160	119	142	113	119
100	116	117	148	121	118	130	126	111	121
102	120	128	153	126	110	132	103	161	118
134	119	95	131	124	105	143	108	118	117

For Questions 1 and 2, you will review the quantitative datasets that you were assigned.

• Referring to the data provided to you by your instructor:

• The data you were assigned are a subset of the data collected as part of the National Health and Nutrition Examination Survey (NHANES) in 2011-2012.Do you believe these datasets are representative of the population?

• Use technology to answer the following questions.

• Provide a screen clip of the Descriptive Statistics for both of your datasets. Be sure to adjust the group names/labels so they describe your data.

• Provide screen clips of the side-by-side boxplots AND side-by-side histograms. Label each graph to show which is which.

• describe in detail the distribution of each dataset.

For Questions 3 through 6, you will set up, calculate, and analyze inferential statistics (confidence interval and hypothesis test) for the two datasets you were assigned.

• Are your two datasets independent or dependent? Give your answer and support it

• Use technology to construct and interpret the 95% confidence interval.

• What point estimate can we use to construct a confidence interval for the difference between the two assigned data sets? Include appropriate units.

• What is the margin of error? Include appropriate units.

• What is the 95% confidence interval? Use interval notation.

interpret the confidence interval in context of the application, using appropriate units.

• Develop a hypothesis about your population means.

• describe your developed hypothesis about the two population means.(Example: I hypothesize that the mean household income in 2020 was higher than the mean household income in 2016.)

• Explain what the symbols and OR represent in context.

• the null hypothesis in symbols.

• the alternative hypothesis in symbols.

• Is your hypothesis test one-tailed or two-tailed?

• Conduct the hypothesis test at a level of significance 5%,

• What is the test statistic?

• What is the p-value?

• What is the conclusion about the null hypothesis?

• make a conclusion of the hypothesis test in context of the application, using correct units.

For Question 7, make a Final Report that summarizes and builds upon all the work from Questions 1 through 6.

• Make a Final Report for this project. This is a cohesive report, not a series of responses to questions. Use the following guidelines to structure the report:

• Introduction: Set the stage for the report by providing an overview of the two assigned datasets. Include a summary of the analysis from Questions 1 & 2.
• Confidence Interval Results: Summarize the results from the research and discuss the findings of your confidence interval. Incorporate the findings from Question 4.
• Hypothesis Test Results: Discuss the procedure, results, and conclusion of the hypothesis test. Incorporate the findings from Questions 5 & 6.
• Conclusion: Based on the project results, do you believe there is a significant difference between men's and women's systolic blood pressures? Reflect on the results of the data analysis, confidence interval, and hypothesis test. Comment on the alignment between the confidence interval and hypothesis test results. Discuss any results that were surprising, interesting, or confirmed your expectations. Include at least one good statistical question related to your research you would like to investigate further. Include reflections about the project that would add insight.

Questions 8 and 9 give you the opportunity to use statistics to explore your own interests.

• Make a good statistical question about a topic that interests you, personally or professionally, that would require a study of two means for quantitative data.

• Design a method for collecting sample data that would answer the statistical question from Question #8.
• Explain how you would acquire the data. Be specific.

• Explain why your data collection method would be an observational study or an experiment.

• Would your two datasets be independent or dependent? Give your answer and support