
a)
To verify whether there are any outliers in given data.
a)

Explanation of Solution
Given:The Minitab output of data of daily calcium intake of a random sample of 36 women of age between 18 and 24 is shown below
Concept used:The boundaries for outliers are shown below
Any values which does not lie between these boundaries are considered as outliers in a data distribution.
Calculation:From the given information
We get Inter
Interpretation:
Here the minimum value is 374 and maximum value is 1425. Hence all values do lie between the boundaries of outliers. Hence there are no outliers in the data.
b)
To interpret the p value from Minitab output.
b)

Explanation of Solution
From the Minitab output the p value is 0.000
If the average daily calcium intake of women is 1200 mg, then the probability of getting a random sample of 36 women with an average intake 856.2 is approximately 0. It also concludes that the average intake among 36 sample of women is less than 1200.
b)
To verify if the data provide convincing evidence to support researchers suspicion.
b)

Explanation of Solution
Concept used:The conditions to perform a one sample t testfor µ.The sample has to be randomly selected.
The population should follow a
The sample should be less than 10% of the population.
Calculation:
To test the claim that recommended daily allowance of calcium of women between ages 18 and 24 years µ is less than the true value 1200.
The null and alternate hypothesis are shown below
The sample of 36 women are selected randomly. The population is of large size, so we can approximately assume it to be a normal distribution. There will be more than 360 women in U.S aged between 18 and 24, so 10% condition is also satisfied.
A one sample t test is run and we get test statistic
Conclusion:At 5% level of significance there is evidence to conclude that the women are getting calcium less than 1200 mg.
Chapter 9 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
University Calculus: Early Transcendentals (4th Edition)
Thinking Mathematically (6th Edition)
College Algebra (7th Edition)
Introductory Statistics
A First Course in Probability (10th Edition)
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