A magazine listed the number of calories and sodium content (in milligrams) for 13 brands of...
A magazine listed the number of calories and sodium content (in milligrams) for 13 brands of hot dogs. Examine the association, assuming that the data satisfy the conditions for inference. Complete parts a and b.
Variable Coefficient SE(Coeff) t-ratio P-value
Constant 90.4899 83.47 1.08 0.3015
Calories 2.49052 0.5728 4.35 0.0012
a) State the appropriate hypotheses about the slope. Choose the correct answer below.
A. Upper H 0: beta 1 not equals 0; there is a linear association between calories and sodium content. Upper H Subscript Upper A: beta 1 equals 0; there is no linear association between calories and sodium content.
B. Upper H 0: beta 1 equals 0; there is no linear association between calories and sodium content. Upper H Subscript Upper A: beta 1 not equals 0; there is a linear association between calories and sodium content.
C. Upper H 0: beta 1 equals 0; there is no linear association between calories and sodium content. Upper H Subscript Upper A: beta 1 less than 0; there is a negative linear association between calories and sodium content.
D. Upper H 0: beta 1 equals 0; there is no linear association between calories and sodium content. Upper H Subscript Upper A: beta 1 greater than 0; there is a positive linear association between calories and sodium content.
b) Test your hypotheses and state your conclusion in the proper context.
Find the test statistic.
t=____(Round to two decimal places as needed.)
Find the P-value for the test.
The P-value is ____ (Round to four decimal places as needed.)
Fail to reject Reject or Reject the null hypothesis. ____There is sufficient or insufficient evidence____ of a linear association between calories and sodium content in hot dogs.
Homework Answers
a) Null hypothesis
vs
Alternative hypothesis
Option B
b)
t test statistic = 4.35 (by using given output directly )
p value for slope = 0.0012 < 0.05
Therefore we reject H0.
We have sufficient evidence to say that there is linear relationship between calories and sodium content.
Add Answer to:
A magazine listed the number of calories and sodium content (in
milligrams) for 13 brands of...
A nutrition lab tested 40 hot dogs to see if their mean sodium content was less...
A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium" franks. The mean sodium content for the sample was 322.3 mg with a standard deviation of 17 mg. Assume that the assumptions and conditions for the test are met. a) Test the hypothesis that the mean sodium content meets the regulation. b) Will a larger sample size ensure that the regulations are met?...
For the data set shown below, complete parts (a) through (d) below. x 3 4 5...
For the data set shown below, complete parts (a) through (d) below. x 3 4 5 7 8 y 4 7 8 12 14 (a) Find the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to three decimal places as needed.) beta 1almost equalsb 1equals nothing (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for sigma. s Subscript eequals nothing (Round to four decimal places as needed.) (c) ...
An agency examined the relationship between the ozone level (in parts per million or ppm) and...
An agency examined the relationship between the ozone level (in parts per million or ppm) and the population (in millions) of cities. Part of the regression analysis is shown to the right. Complete parts a and b below. Dependent variable is: Ozone R squaredequals82.2% s=5.158 with 16-2=14 df Variable Coeff SE (Coeff) Intercept 18.769 2.311 Population 6.701 2.027 a) It is suspected that the greater the population of a city, the higher its ozone level. Is the relationship statistically...
A nutrition lab tested 40 hot dogs to see if their mean sodium content was less...
A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium* franks. The mean sodium content for the sample was 321.9 mg with a standard deviation of 19 mg. Assume that the assumptions and conditions for the test are met. a) Test the hypothesis that the mean sodium content meets the regulation. b) Will a larger sample size ensure that the regulations are met?...
The sodium content of twenty 300-gram boxes of organic cornflakes was determined. The data (in milligrams)...
The sodium content of twenty 300-gram boxes of organic cornflakes was determined. The data (in milligrams) are as follows: 131.29 130.63 130.91 129.54 129.64 128.77 130.72 128.33 128.24 129.65 130.14 129.29 128.71 129.00 129.39 130.42 129.53 130.12 129.78 130.92 (a) Test the hypothesis Upper H O mu equals 130 versus H 1 mu not.equals 130, Compute the p value.
What can predict how much a motion picture will make? Data on a number of recent...
What can predict how much a motion picture will make? Data on a
number of recent releases that includes the Gross ($M), the
Budget ($M), the Run Time (minutes), and the average number of
Stars awarded by reviewers was collected and a regression model was
created to predict Gross. Use the computer output given below to
complete parts a through d.
c) What null hypothesis can you test with it?
A.
Upper H 0H0:
beta Subscript BudgetβBudgetequals=beta Subscript Run TimeβRun...
A consumer magazine listed the price in dollars) and power (in cold cranking amps) of auto...
A consumer magazine listed the price in dollars) and power (in cold cranking amps) of auto batteries. A test is run to determine if more expensive batteries are generally better in terms of starting power. Use the technology output given below to answer parts a) through g). Click the icon to view technology output. b) Are the conditions for inference satisfied? Explain. Select all conditions for inference that are satisfied. O O A. The scatterplot of the data is roughly...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) bel...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
Using the accompanying data below, perform a chi-square test using alphaαequals=0.01 to determine if the proportion...
Using the accompanying data below, perform a chi-square test using alphaαequals=0.01 to determine if the proportion of "Yes" observations differs between Populations A and B. Observed frequencies: Population Yes No A 18 20 B 22 20 Expected frequencies: Population Yes No A 19 19 B 21 21 Click the icon to view an excerpt from the table of chi-square critical values. What are the null and alternative hypotheses? A. Upper H 0H0: p Subscript Upper A Baseline not equals p...
A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium" franks. The mean sodium content for the sample was 322.3 mg with a standard deviation of 17 mg. Assume that the assumptions and conditions for the test are met. a) Test the hypothesis that the mean sodium content meets the regulation. b) Will a larger sample size ensure that the regulations are met?...
A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium* franks. The mean sodium content for the sample was 321.9 mg with a standard deviation of 19 mg. Assume that the assumptions and conditions for the test are met. a) Test the hypothesis that the mean sodium content meets the regulation. b) Will a larger sample size ensure that the regulations are met?...
The sodium content of twenty 300-gram boxes of organic cornflakes was determined. The data (in milligrams) are as follows: 131.29 130.63 130.91 129.54 129.64 128.77 130.72 128.33 128.24 129.65 130.14 129.29 128.71 129.00 129.39 130.42 129.53 130.12 129.78 130.92 (a) Test the hypothesis Upper H O mu equals 130 versus H 1 mu not.equals 130, Compute the p value.
What can predict how much a motion picture will make? Data on a
number of recent releases that includes the Gross ($M), the
Budget ($M), the Run Time (minutes), and the average number of
Stars awarded by reviewers was collected and a regression model was
created to predict Gross. Use the computer output given below to
complete parts a through d.
c) What null hypothesis can you test with it?
A.
Upper H 0H0:
beta Subscript BudgetβBudgetequals=beta Subscript Run TimeβRun...
A consumer magazine listed the price in dollars) and power (in cold cranking amps) of auto batteries. A test is run to determine if more expensive batteries are generally better in terms of starting power. Use the technology output given below to answer parts a) through g). Click the icon to view technology output. b) Are the conditions for inference satisfied? Explain. Select all conditions for inference that are satisfied. O O A. The scatterplot of the data is roughly...
Most questions answered within 3 hours.
-
S sells property with a $500 basis to B for $450, and B later
sells the...
asked 14 minutes ago -
On January 1, 20X7, Green Corp. paid $1,020,000 to acquire Wax
Co. Wax maintained separate incorporation....
asked 15 minutes ago -
C++
Write a class Fraction that defines adding, subtracting,
multiplying, and dividing fractions by overloading standard...
asked 1 hour ago -
This java code won't run and I can't figure out the problem with
it. Please help...
asked 2 hours ago -
Trace the following recursive methods:
a) isPal with the string “abccda”
b) isAnBn with the string...
asked 3 hours ago -
1. Which of the following is false about photosynthesis?
A. ATP is the molecule used to...
asked 4 hours ago -
A simple random sample of size n=64 is obtained from a
population with a mean of...
asked 5 hours ago -
(2 dimensions, 1 object, 2 accelerations)
1) A projectile is thrown with a wind. The wind...
asked 6 hours ago -
Brian makes $34,100 per year. How much can Brian expect to
contribute to FICA taxes in...
asked 6 hours ago -
To buy a new house you must borrow $155,000. To do this you take
out a...
asked 7 hours ago -
Spacely Sprockets is evaluating the construction of a new plant
on land the company purchased for...
asked 7 hours ago -
1. Consider a linear regression model of y on K regressors and
an intercept.
(i) Describe...
asked 8 hours ago