Question

**“Every user of statistics should understand the
distinction between statistical significance and practical
importance. A sufficiently large sample will declare very small
effects statistically significant.”**

**In general, a population of elite female Canadian
athletes were believed to be consuming an average 2403.7 kcal/day
with population s.d. = sigma= 880 kcal/day. A nutritionist
implemented a new diet among a sample of these athletes. Under the
new diet, the sample of athletes had average daily intake of
x-bar=2453.7 kcal/day. The standard deviation is assumed to remain
the same with sigma x =** **880 kcal/day.**

**Conduct a statistical test to test whether we have
evidence that true average intake is larger than 2403.7
kcal/day for athletes on the new diet. Use these sample
sizes:**

**n=100****n=500****n=1000**

**No alpha level was mentioned for the above problems, so we used the default level of alpha= 0.05. If the alpha level were given as 0.1 or 0.01, would statistical significance be impacted in questions a)-c)?**

**Why did we use a ‘one-sided’ test for this problem?**

Answer #1

[6.74] Nutritional intake among Canadian high-performing female
athletes—A total of n = 201 elite female athletes participated in a
study to measure nutrition. One reported finding was that the
average caloric intake among these 201 women was 2403.7
kilocalories per day. The recommended amount is 2811.5 kcal/day.
Does this sample provided evidence at the 5% level that all female
Canadian athletes are deficient in caloric intake? (Assume that the
population standard deviation is known to be 880 kcal/day.
A.) Write...

NEED PART IIComprehensive TaskThe "Jupiter Bar" is a candy bar that is only manufactured and
sold in one size. Tens of thousands of bars are manufactured every
day. Nutritional content appears on the bar's wrapper, including a
statement that a given bar has a sodium content of 96
milligrams.Due to variability inherent in all manufacturing, we know that
some bars would have slightly less than 96 milligrams of sodium and
some bars would have more than 96 milligrams of sodium...

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