Question
In: Statistics and Probability
A nutrition laboratory tests 40 “reduced sodium” hot dogs, finding that the mean sodium content is...
- A nutrition laboratory tests 40 “reduced sodium” hot dogs, finding that the mean sodium content is 310 mg with a standard deviation of 36 mg. Find a 95% confidence interval for the mean sodium content of this brand of hot dog. Be sure to check all necessary assumptions and conditions, and interpret your interval within the context of the problem.
- Conduct a hypothesis test at the .025 level as to whether the mean sodium content level is 300mg. Provide H0,Ha, test statistic, and approximate P-value. Interpret your decision about the hypotheses in the context of the claim.
- Repeat 1. & 2. using your (or your neighbor’s) TI-graphing calculator or JMP. Record the functions that were used, the hypotheses, test statistic, p-value, and confidence interval. Compare the two confidence intervals. Confirm that the decision about H0 was appropriate.
Solutions
Expert Solution
When comparing both confidence intervals
the confidence interval which contain mean sodium content is 300mg
is wider than the confidence interval of the mean sodium content as
310mg .
orchestra answered 2 years agoRelated Solutions
A nutrition laboratory tests 50 "reduced sodium" hot dogs, finding that the mean sodium content is...
A nutrition laboratory tests 50 "reduced sodium" hot dogs,
finding that the mean sodium content is 307 mg, with a standard
deviation of 37 mg.
a) Find a 95% confidence interval for the mean sodium content
of this brand of hot dog.
b) What assumptions have you made in this inference? Are the
appropriate conditions satisfied?
c) Explain clearly what your interval means.
A nutrition laboratory tests 60 "reduced sodium" hot dogs, finding that the mean sodium content is...
A nutrition laboratory tests 60 "reduced sodium" hot dogs,
finding that the mean sodium content is 305 mg, with a standard
deviation of 35 mg.
a) Find a 95% confidence interval for the mean sodium content
of this brand of hot dog
. b) What assumptions have you made in this inference? Are the
appropriate conditions satisfied?
c) Explain clearly what your interval means.
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 321.7mg with a
standard deviation of 17 mg. Assume that the assumptions and
conditions for the test are met.
a) Write appropriate hypothesis.:
b) the test statistic: t=
C. The p value: p=
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.
The test statistic is t = _
(Round to two decimal places as needed.)
The P-value is _
(Round to three decimal places as...
A nutrition lab tested 40 randomly selected hot dogs to see if their mean sodium content...
A nutrition lab tested 40 randomly selected hot dogs to see if
their mean sodium content was less than 325mg upper limit set by
regulations for "reduced sodium" franks. The sample yielded a mean
of 322 mg with a standard deviation of 11.5 mg.
A) To construct a confidence interval, would you use a z-chart
or a t-chart? why?
B) Construct a 90% confidence interval for for estimating the
mean sodium content for "reduced sodium" hot dogs. Interpret the
confidence...
The chart below shows the caloric content and the sodium content(in milligrams) for 10 beef hot...
The chart below shows the caloric content and the sodium
content(in milligrams) for
10 beef hot dogs (Source: Consumer Reports).
Calories,x 150 170 120 120 90 180 170 140 90 110
Sodium, y 420 470 350 360 270 550 530 460 380 330
(a) Graph a scatter diagram of the table and nd the equation of
the regression
equation and plot it on the same scatter diagram to see the
regression line.
(b) What is the correlation coefficient(r) of the...
The chart below shows the caloric content and the sodium content(in milligrams) for 10 beef hot...
The chart below shows the caloric content and the sodium
content(in milligrams) for
10 beef hot dogs (Source: Consumer Reports).
Calories,x 150 170 120 120 90 180 170 140 90 110
Sodium, y 420 470 350 360 270 550 530 460 380 330
(a) Graph a scatter diagram of the table and nd the equation of
the regression
equation and plot it on the same scatter diagram to see the
regression line.
(b) What is the correlation coefficient(r) of the...
The caloric contents and the sodium contents (in milligrams) of 10 beef hot dogs is given...
The caloric contents and the sodium contents (in milligrams) of
10 beef hot dogs is given below. (Source: Consumer
Reports)
Calories
x
150
170
120
120
90
180
170
140
90
110
Sodium y
420
470
350
360
270
550
530
460
380
330
State the null and alternative
hypotheses in symbols and words
H0 =
Ha =
Calculate the t test
statistic. t = _______ Calculate the p-value. _________
Circle the correct
conclusion: Reject H0
or
...
The caloric contents and the sodium contents (in milligrams) of 10 beef hot dogs is given...
The caloric contents and the sodium contents (in milligrams) of
10 beef hot dogs is given below. (Source: Consumer
Reports)
Calories
x
150
170
120
120
90
180
170
140
90
110
Sodium y
420
470
350
360
270
550
530
460
380
330
State the null and alternative
hypotheses in symbols and words
H0 =
Ha =
Calculate the t test
statistic. t = _______ Calculate the p-value. _________
Circle the correct
conclusion: Reject H0
or
...
The caloric contents and the sodium contents (in milligrams) of 10 beef hot dogs is given...
The caloric contents and the sodium contents (in milligrams) of
10 beef hot dogs is given below. (Source: Consumer
Reports)
Calories
x
150
170
120
120
90
180
170
140
90
110
Sodium y
420
470
350
360
270
550
530
460
380
330
Find the equation of the regression line.
Y = 80.819 +2.4715x
Slope of the regression line you wrote in part A = 2.4715 Write
a sentence to interpret this value in the context of the
problem...
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