The recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females. At the 10% significance level, do the data suggest that adult females are, on average, getting less than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.2 mg. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: x bar equals=14.65 mg.)1. State the hypotheses for the one-mean z-test.
2. Compute the value of the test statistic. z=______
3. Determine the critical value(s).
4._________ the null hypothesis. At the 10% significance level, the data____________sufficient evidence to conclude that adult females are ___________ the RDA of iron, on average.
Answers
Answer:
Step-by-step explanation:
Given that the recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females.
1)
(left tailed test at 10% sigl level)
Mean difference = -3.35
2) Test statistic Z = Mean difference/std error =-5.35
3) Critical values are -1.28
Since critical value is > test statistic accept H0
4) ___Fail to reject______ the null hypothesis. At the 10% significance level, the data_____shows_______sufficient evidence to conclude that adult females are ____equal to 18 mg_______ the RDA of iron, on average.
Related Questions
A triangular bandana has an area of 54 square inches. The height of the triangle is3 6 - inches. Enter and solve an equation to find the length of the base of the triangle. 4 Use b to represent the length of the base. An equation to find the length of the base of the triangle is 54 = The length of the base of the triangle is inches.
What is the answer pls it’s for a grade
The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among the TV sets in use, 18% were tuned to CSI: Shoboygan. Assume that an advertiser wants to verify that 18% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a CSI: Shoboygan broadcast. Find the probability that none of the households are tuned to CSI: Shoboygan. P(none) = Find the probability that at least one household is tuned to CSI: Shoboygan. P(at least one) = Find the probability that at most one household is tuned to CSI: Shoboygan. P(at most one) = If at most one household is tuned to CSI: Shoboygan, does it appear that the 18% share value is wrong? (Hint: Is the occurrence of at most one household tuned to CSI: Shoboygan unusual?)
Write the number 0.0049 in scientific notation.
Answers
Answer:
36 miles
Step-by-step explanation:
If she can drive 12 miles only using 1/3 of a gallon of gas, that means if she uses a full gallon (3/3) she would be driving 36 miles.
12/1 x 1/3
36/1 x 3/3
Multiply the numerators by 3.
Answers
The given triangle is a righttriangle.
Option E is the correct answer.
What is a triangle?
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The sum of the angles must be 180.
So,
45 + 45 + 90 = 180
This is a condition for the right triangle.
Thus,
The given triangle is a righttriangle.
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D and E
the triangle is right as it has a right angle as one of the 3 angles
the triangle is isosceles as it has 2 equal sides , indicated by the score on the equal sides and 2 equal base angles of 45°
Answers
Answer:
y = 1/4x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.
Plug this value (1/4) into your standard point-slope equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.
-1 = 1/4(4) + b
To find b, multiply the slope and the input of x (4)
-1 = 1 + b
Now, subtract 1 from both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 1/4x - 2
This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)
Hope this helps!
Answers
Answer:
2
Step-by-step explanation:
First you must use distributive property on the numberator. You multiply 4 with 8, then 4 with 2. It will look like this: 32-8. Then you solve, it equals 24. Then add the denominator, which equals 12. Lastly, divide 24 by 12, which gets you 2.
Answer:
2
Step-by-step explanation:
4(8-2)/3+9
First subtract 8 by 2
8-2=6
4(6)/3+9
Now multiply 4 and 6
4(6)=24
24/3+9
now add 3 and 9
3+9=12
24/12
now divide the top by the bottom
24/12=2
Hope This Helps :)
what is the GCF of both these numbers?
Answers
Answer:
the answer is 9
Step-by-step explanation:
look at all the factors of both numbers, then find the factors that they both have, and then multiply those factors
Answers
Answer:
15.74% of the player's serves were between 115 mph and 145 mph
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What percentage of the player's serves were between 115 mph and 145 mph
This is the pvalue of Z when X = 145 subtracted by the pvalue of Z when X = 115.
X = 145
has a pvalue of 0.9987
X = 115
has a pvalue of 0.8413
0.9987 - 0.8413 = 0.1574
15.74% of the player's serves were between 115 mph and 145 mph
Final answer:
A total of 27% of the player's serves at the U.S. Open Tennis Championship were between 115mph and 145mph. This was found using the Empirical Rule which applies to a normal distribution of serve speeds.
Explanation:
This problem is a classic example of the use of the Empirical Rule in statistics. The Empirical Rule, also known as the 68-95-99.7 rule, applies to a normal distribution, which is a bell-shaped curve (mound-shaped and symmetric) as mentioned in the problem. This rule states that approximately 68% of the data falls within one standard deviation from the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
Given that the mean serve speed is 100 mph and the standard deviation is 15 mph, serves of 115 mph are one standard deviation above the mean and serves of 145 mph are three standard deviations above the mean. Therefore, we are looking for the percentage of serves between these two values. According to the Empirical Rule, this would be 95% (coverage for up to 2 standard deviations) minus 68% (coverage for up to 1 standard deviation), which equals 27%. So, 27% of the player's serves were between 115 mph and 145 mph.
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