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2 years ago

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A doctor is measuring body temperature for patients visiting the office. The doctor believes the average body temperature is les

s than 98.6 degrees Fahrenheit and would like to test this claim. During the process of hypothesis testing, the doctor computes a value from the sample data, which will be used to compare the sample data to the population parameter. What value did the doctor compute?

1 answer:

Ivenika [448]2 years ago

3 0

Answer:

Test statistic

Step-by-step explanation:

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What is the y intercept of y =4x

Butoxors [25]

Answer:

origin of the graph (0)

Step-by-step explanation:

because it does not have a b value it is zero if there is no plus or minus a number at the end it is always 0 when dealing with the y=mx+b equation

7 0

3 years ago

According to a 2009 Reader's Digest article, people throw away about 14% of what they buy at the grocery store. Assume this is t

ahrayia [7]

Answer:

18.67% probability that the sample proportion does not exceed 0.1

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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.

For the sampling distribution of a sample proportion, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$\mu = 0.14, \sigma = \sqrt{\frac{0.14*0.86}{59}} = 0.045$

What is the probability that the sample proportion does not exceed 0.1

This is the pvalue of Z when X = 0.1. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.1 - 0.14}{0.045}$

$Z = -0.89$

$Z = -0.89$ has a pvalue of 0.1867

18.67% probability that the sample proportion does not exceed 0.1

5 0

3 years ago

At a certain time of the day, a tree that is x meters tall casts a shadow that is x-49 meters long. If the distance from the top

nikklg [1K]

The height of the tree is 60 meters.

Explanation:

Let the height of the tree be x. The tree casts a shadow of $x-49$ meters and the distance from the top of the tree to the end of the shadow is $x+1$ meters.

The sides of the triangle are attached in the image below:

Using pythagoras theorem,

$x^{2}+(x-49)^{2}=(x+1)^{2}$

Expanding, we get,

$2 x^{2}-98 x+2401=x^{2}+2 x+1$

$2 x^{2}-98 x+2400=x^{2}+2 x$

$2 x^{2}-100 x+2400=x^{2}$

$x^{2}-100 x+2400=0$

Solving the equation using the quadratic formula $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , we get,

$x=\frac{-(-100)\pm\sqrt{(-100)^{2}-4 \cdot 1 \cdot 2400}}{2 \cdot 1}$

Simplifying, we have,

$x=\frac{100\pm\sqrt{10000-9600}}{2}$

$x=\frac{100\pm\sqrt{400}}{2}$

$x=\frac{100\pm{20}}{2}$

Thus,

$x=\frac{100+20}{2} \\x=\frac{120}{2} \\x=60$ and $x=\frac{100-20}{2} \\x=\frac{80}{2} \\x=40$

where the value $x=40$ is not possible because substituting the value $x=40$ in $x-49$ results in negative solution. Which is not possible.

Hence, the value of x is 60.

Thus, The height of the tree is 60 meters.

7 0

2 years ago

The sum of consecutive positive integers is 93.find number

ycow [4]

I’m sure it’s 30, 31, 32

4 0

2 years ago

LCD of 1/15 and 9/10

soldi70 [24.7K]

The LCD of the 2 fractions is 30 by multiplying the first fraction by 2 and the second fraction by 3 for example:

1/15 x 2/2 = 2/30

9/10 x 3/3 = 27/30

Which these 2 fraction equals up to 29/30 Hope this helps my dude ^^

5 0

2 years ago