MATHEMATICS COLLEGE

Heavy children: Are children heavier now than they were in the past? The National Health and Nutrition Examination Survey (NHANES) taken between 1999 and 2002 reported that the mean weight of six-year-old girls in the United States was 49.3 pounds. Another NHANES survey, published in 2008, reported that a sample of 190 six-year-old girls weighed between 2003 and 2006 had an average weight of 46 pounds. Assume the population standard deviation is =σ17 pounds. Can you conclude that the mean weight of six-year-old girls in 2006 is different from what it was in 2002? Use the =α0.10 level of significance and the critical value method.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Hello!

You have two surveys that measure the weight of six-year-old girls in the USA,

1) 1999-2002

μ= 49.3 pounds

(I'll take this mean as the population value since it can be considered "historical data" or point of comparison to make the test.)

2)2003-2006

sample n= 190

sample mean x[bar]= 46 pounds

population standard deviation σ= 17 pounds

Assuming that the study variable X" Weight of six-year-old girls between 2003 - 2006" (pound) has a normal distribution.

If you need to test that the children are heavier now (2003-2006) than in the past (1999-2002) the test hypothesis is:

H₀: μ ≤ 49.3

H₁: μ > 49.3

α: 0.10

The statistic is Z= (x[bar]-μ) ~N(0;1)

(δ/√n)

The critical region is one-tailed to the right.

$Z_(1-\alpha ) = Z_(0.90) = 1.28$

So you'll reject the null hypothesis if the calculated statistic is equal or greater than 1.28.

Z= 46 - 49.3 = -2.67

17/√190

Since the calculated value -2.67 is less than 1.28 you do not reject the null hypothesis. In other words, the six-year-old girls from 2003-2006 are thinner than the girls from 1999-2002.

I hope it helps!

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A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?

Answers

Answer:

528 miles

Step-by-step explanation:

First, we need to figure out how many miles it drives in 1 hour:

480 divided by 4 = 120

now, we add 12 to 120: 120 + 12 = 132

132 x 4 = 528

hope this helped have a great day/night!! :'')

Final answer:

The car would have traveled 528 miles in 4 hours with the increased speed of 12 mph.

Explanation:

To calculate the distance the car would have traveled in 4 hours with a speed that is 12 mph faster, we need to find the original speed of the car. We can use the formula speed = distance/time, where the speed is the original speed of the car, the distance is the distance the car traveled in 4 hours (480 miles), and the time is 4 hours. Rearranging the formula, we have distance = speed x time. So, the distance the car would have traveled with the increased speed in 4 hours is 480 miles + 12 mph x 4 hours.

Using the formula, we can calculate the distance:
distance = (480 miles) + (12 mph x 4 hours) = 480 miles + 48 miles = 528 miles.

Therefore, if the car's speed was 12 mph faster, it would have traveled a distance of 528 miles in 4 hours.

Learn more about calculating distance with increased speed here:

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#SPJ11

Find the Pythagorean triplet in which one number is 32

Answers

Answer:

What is the Pythagorean triplet of 32?

But 32/2 = 16 which is even so:

But 32/4 = 8 which is even so:

But 32/8 = 4 which is even so:

Answer:

Answer in explanation below.

Step-by-step explanation:

32² => 1024 => 1024/4 => 256 => 256 + 1 = 257, 256 - 1 = 255: 32, 255, 257

16² => 256 => 256/4 => 64 => 64 + 1 = 65, 64 - 1 = 63: 2 x ( 16, 63, 65) = 32, 126, 130

8² => 64 => 64/4 => 16 => 16 + 1 = 17, 16 - 1 = 15: 4 x ( 8, 15, 17) = 32, 60, 68

4² => 16 => 16/4 => 4 => 4 + 1 = 5, 4 - 1 = 3: 8 x ( 4, 3, 5) = 32, 24, 40

Help please, I’ll mark brainylest or what ever it’s called .

Answers

Answer:

a. y+7 1/2=x

s=5

Step-by-step explanation:

What is the total interest paid on an $185,000 loan at 6.25% APR over 15 years (monthly payments)?

Answers

Answer:

$100,522

Step-by-step explanation:

Answer:

Total Interest $100,522

Step-by-step explanation:

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The alternative hypothesis for this problem would be stated as:

Answers

Therefore the correct answer is for the alternative hypothesis is,

$H_1:P_(internet)-P_(store)\leq0.10$

Null Hypothesis:

A null hypothesis is a theory that assumes there is no statistical importance between the two variables in the hypothesis.

Let $P_(internet)$ be the proportion of the internet sales and $P_(store)$ be the proportion of the store sales.

The researchers claim is that ''the internet sales are more than 10% higher than store sales''.

The alternative hypothesis is,

$H_1:P_(internet)-P_(store)\leq0.10$

The opposite of alternative hypothesis is,

$H_0:P_(internet)-P_(store)\leq0.10$

It can be observed that the alternative hypothesis contains greater than a symbol.

Learn more about the topic Null Hypothesis:

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Answer:

$H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10$

Step-by-step explanation:

We are given the following in the question:

Let $P_{\text{Internet}}$ be the proportion of the internet sales and $P_{\text{Store}}$ be the proportion of the store sale.

Hypothesis:

We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.

Thus, we can design the null and alternative hypothesis as:

$H_(0): P_{\text{Internet}}-P_{\text{Store}}\leq 0.10\nH_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10$

Alternate Hypothesis:

The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.

WXYZ is a parallelogram. Name an angle congruent to ∠WZY.

Answers

Answer:

Angle congruent to ∠WZY is ∠WXY

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