Statistics Homework/Statcrunch
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homework3.pdf
Homework 3
1.
A random sample of data was obtained
47 95 54 79 64 40 80 57 90 80
80 67 13 49 40 44 79 80 48 16
68 70 15 21 52 60 78 102 40 50
29 35 28
a. Use StatCrunch to generate Summary Statistics
b. Use StatCrunch to create a Box Plot
c. Based on your summary statistics, IQR and Box Plot does the Data Contain Outliers?
d. Use StatCrunch to generate a 95% confidence interval for the mean
e. Use StatCrunch and Hypothesis Testing (P-Value Method) for the claim that the mean is different
from 50 at a 95% confidence level.
2.
A random sample of data was obtained
23 45 15 26 21 32 44 22 15 45
61 12 6 40 27 38 65 5 13 40
a. Use StatCrunch to generate Summary Statistics
b. Use StatCrunch to generate a Stem and Leaf Plot
c. Use StatCrunch to generate a 90% confidence interval for the mean
d. Use StatCrunch to generate a 95% confidence interval for the variance
e. Use StatCrunch and Hypothesis Testing (P-Value Method) for the claim that the mean is less than 35
at a 90% confidence level.
3.
A random sample of data was obtained
10.1 9.8 9.0 9.6 9.9 10.0 8.7 9.6 10.0 9.4
9.8 9.4 9.8 9.1
a. Use StatCrunch to generate Summary Statistics
b. Based on your summary statistics, IQR does the Data Contain Outliers?
c. Use StatCrunch to generate a 92% confidence interval for the mean
d. Use StatCrunch to generate a 98% confidence interval for the mean
e. Use StatCrunch and Hypothesis Testing (P-Value Method) for the claim that the mean is less than 10
at a 90% confidence level.
4.
A survey was done concerning – Do you favor like strawberry ice-cream? 1 = Yes, 0 = No and the results
were as follows
1 1 1 0 0 0 0 1 1 0
0 0 1 1 1 1 1 1 0 1
1 0 1 1 0 1 1 0 0 0
0 1 1 0 1 0 1 1 0 1
a. Use StatCrunch to the 90% confidence interval for the proportion of people that FAVOR strawberry
ice-cream.
b. Use StatCrunch to the 90% confidence interval for the proportion of people that DO NOT FAVOR
strawberry ice-cream.
c. Use StatCrunch and Hypothesis Testing (P-Value Method) for the claim that the proportion of people
that favor strawberry ice-cream is greater than 45% at 90% confidence level.
d. Use StatCrunch and Hypothesis Testing (P-Value Method) for the claim that the proportion of people
that favor that favor strawberry ice-cream is different from 40% at 90% confidence level.
5. Stock Prices A random sample of stock prices per share (in dollars) is shown.
Use Stat Crunch to find the Summary Statistics (include IQR, exclude Std. Error) and paste in the results.
a) Use Stat Crunch to create and paste in the Box Plot
b) Comment on the Box Plot in terms of median being shifted left or right and if there any
outliers.
c) Use Stat Crunch to form the “correct” 97% confidence interval for the mean paste in the
results and then make a type the interval form.
d) From previous data the mean was 35. Is there enough evidence at alpha = 0.05 to conclude
that the mean has increased. Use Stat Crunch, paste in the results. Use the P Value Method
to conclude to make a conclusion.
6. Triples and Home Runs The number of triples and the number of home runs obtained by a selected sample of MLB players are shown.
a) Use Stat Crunch to create a scatter plot and paste in your results.
b) Use Stat Crunch to calculate the correlation coefficient and paste in your results.
c) Use Stat Crunch to find the equation of the regression line, predict for x= 37, paste in the
results as well as the graph of the best line and then type in your equation.
7. Goodness of Fit Ages of Head Start Program Students The Head Start Program provides a wide range of services to low-income children up to the age of 5 and their families. Its goals are to provide services to improve social and learning skills and to improve health and nutrition status so that the participants can begin school on an equal footing with their more advantaged peers. The distribution of ages for participating children is as follows: 4% five-year- olds, 52% four-year-olds, 34% three-year-olds, and 10% under 3 years. When the program was assessed in a particular region, it was found that of the 200 participants, 20 were 5 years old, 120 were 4 years old, 40 were 3 years old, and 20 were under 3 years. Is there sufficient evidence at α = 0.05 that the proportions differ from the program’s?
a) Enter the data into Stat Crunch and paste in your data table.
b) Use Stat Crunch for Goodness of Fit and paste in your results.
c) Use the P Value Method to conclude to make a conclusion.
8. Calories in Fast-Food Sandwiches Three popular fast-food restaurant franchises specializing in burgers were surveyed to find out the number of calories in their frequently ordered sandwiches. At the 0.05 level of significance, can it be concluded that a difference in mean number of calories per burger exists?
a) Enter the data into Stat Crunch and paste in your data table.
b) Use Stat Crunch for ANOVA and paste in your results.
c) Use the P Value Method to conclude to make a conclusion.
