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Taya2010 [7]
3 years ago
5

Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed with a mean of 143 lbs and

standard deviation equal to 15 lbs. Suppose that Roger, a public health researcher, believes that the popularity of video and computer gaming has made teenagers less active, and predicts that 16-year old males today weigh more than 16-year old males did in 1995. To test the theory, he chooses a random sample of 50 16-year old males and records their weights. The average weight of the sample is 147 lbs. Roger uses a z ‑ test to test the hypothesis that the average weight of 16-year old males has increased. He calculates the z ‑ statistic as 1.89 standard deviations above the mean. Use this standard normal z-distribution table to calculate the p-value of this statistic. Give your answer as a decimal rounded to four places. Also how to determin if this is a one-sided or two-sided test?
Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

Step-by-step explanation:

The null hypothesis is:

H0: μ(1995)=μ(2019)

The alternative hypothesis is:

H1: μ(1995)<μ(2019)

Because Roger wants to know if mean weight of 16-old males in 2019 is more than the mean weight of 16-old males in 1995 the test only uses one tail of the z-distribution.  It is not a  two-sided test because in that case the alternative hypothesis would be:  μ(1995)≠μ(2019).

To know the p-value, we use the z-statistic, in this case 1.89 and the significance level. Because the problem does not specify it, we will search for the p-value at a 5% significance level and at a 1%.

For a z of 1.89 and 5% significance level, the p-value is: 0.9744

For a z of 1.89 and 1% significance level, the p-value is: 0.9719

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HELP i will give brainliest<br> all questions ;(
Rama09 [41]

Answer:

<u>1. The theoretical probability of rolling an even number and flipping heads is 25%.</u>

<u>2. The experimental probability of rolling a 1 and flipping tails is 15%.</u>

<u>3. The experimental probability of flipping heads is 40%.</u>

<u>4. I think around 7%.</u>

<u>5. I would expect to roll 3 and land on heads 8 times.</u>

Step-by-step explanation:

I am not sure about number 4.

Have a nice day!

Ask me if you need my work. :-)

8 0
3 years ago
Find the average rate of change of f(x)=2x-1 from x=-1 to x=2
MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

<u>Solution:</u>

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

<em><u>The average rate of change is given as:</u></em>

\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}

<em><u>Find f(2) and f( - 1)</u></em>

<em><u>Substitute x = 2 in given function</u></em>

f(2) = 2(2) - 1 = 4 - 1 = 3

<em><u>Substitute x = -1 in given function</u></em>

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

<em><u>Substitute the values in above formula,</u></em>

\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2

Thus average rate of change from x = -1 to x = 2 is 2

3 0
3 years ago
Hamdi lives 452 miles from her
scZoUnD [109]

Answer:

It's 317 miles.

Step-by-step explanation:

You just take the amount of miles it is from her grandparents house and the amount of miles to her cousins house and then you subtract them.

 452-135=317 miles apart.

7 0
3 years ago
At noon, a tank contained 10 in. of water. After several hours, it contained 7 in. of water. What is the
Olin [163]
-30% answer is right because it lost 3 inches and 30 percent of 10 is 3.

Answer: -30%
5 0
2 years ago
Find the slope of the line that passes through (4,2) and (9,1)?
pshichka [43]

Answer:

The slope of the line is \displaystyle -\frac{1}{5}.

Step-by-step explanation:

We are given two coordinate points:

  • (4, 2)
  • (9, 1)

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

(x_1, y_1), (x_2, y_2)

Therefore, we can also label our coordinates as such:

  • x_1 = 4
  • y_1 = 2
  • x_2 = 9
  • y_2 = 1

Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}

Therefore, our slope is \displaystyle -\frac{1}{5}.

8 0
3 years ago
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