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Statistics and Probability

Recent questions in Statistics and Probability

Tammy Todd 2020-10-27

The number of boots that 25 students had in their homes in Florida were recorded below:
$0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8$
Create a dot plot of the data above.

emancipezN 2020-10-27

In 1997. Superman's cape from the 1978 movie Superman was sold at an auction. The winning bid was $ 17,000. Write and graph an inequality that represents the amounts all the losing bids.

vazelinahS 2020-10-27

Solvin system of equations graphically

Dolly Robinson 2020-10-27

A population of values has a normal distribution with $μ = 192.3$ and $σ = 66.5$ . You intend to draw a random sample of size $n = 15$ .
Find the probability that a sample of size $n = 15$ is randomly selected with a mean less than 185.4.
$P (M < 185.4) =$ ?
Write your answers as numbers accurate to 4 decimal places.

tabita57i 2020-10-27

Sharing music online (5.2, 5.3). A sample survey reports that 29% of Internet users download music files online, 21% share music files from their computers, and 12% both download and share music. Make a two-way table that displays this information.

zi2lalZ 2020-10-27

Round each z-score to the nearest hundredth.
A data set has a mean of
$x = 6.8$
and a standard deviation of 2.5. Find the z-score.
$x = 5.0$

defazajx 2020-10-26

A population of values has a normal distribution with $μ = 198.8$ and $σ = 69.2$ . You intend to draw a random sample of size $n = 147$ .
Find the probability that a single randomly selected value is between 184 and 205.1.
$P (184 < X < 205.1) =$ ?
Write your answers as numbers accurate to 4 decimal places.

postillan4 2020-10-26

For any three events A,B, and D, such that P(D) >0, prove that $P (A \cup B ∣ D) = P (A ∣ D) + P (B ∣ D) - P (A \cap B ∣ D)$ .

sagnuhh 2020-10-26

Listed below are amounts of strontium-90 (in millibecquerels or mBq per gram of calclum) in a simple random sample of baby teth obtained from resident of state A and state B. Use a 0.05 significance level to test the celm that amounts of Strontium-90 from state A residents vary more than amounts from state B resints. Assume that both samples are independent simple random samples from populations having normal distributions. $\begin{matrix} S t a t e A : & 162 & 143 & 150 & 130 & 152 & 152 & 143 & 155 & 131 & 139 & 164 \\ S t a t e B : & 136 & 140 & 142 & 131 & 133 & 129 & 141 & 140 & 142 & 136 & 142 \end{matrix}$

fortdefruitI 2020-10-26

What is data modeling? What is its primary tool?

zi2lalZ 2020-10-26

Find the pattern of the data of Chi-square goodness-of-fit from two options.

Reggie 2020-10-26

Calculate the value and interest that would be earned if $56,780 is invested at $2.8 %$ compounded a) quarterly for 23 quarters b) continuosly for 15 year

ediculeN 2020-10-26

Plotting points and finding distance in three dimensions. Two points P and $\underset{―}{O}$ are given.
(a) Plot P and $\underset{―}{O}$ .
(b) Find the distance between P and $\underset{―}{O} .$
$P (3, 1, 0), \underset{―}{O} (- 1, 2, - 5)$

Emily-Jane Bray 2020-10-26

When should i use the ANOVA test?
Remember that some tests, such as chi squared, can be used under various circumstances. The goal of the test changes based on the situation. Pay attention to the specific conditions noted in
parenthesis to ensure you are picking the correct goal.

Globokim8 2020-10-25

A population of values has a normal distribution with $μ = 239.5$ and $σ = 32.7$ . You intend to draw a random sample of size $n = 139$ .
Find the probability that a sample of size $n = 139$ is randomly selected with a mean greater than 235.9.
$P (M > 235.9) =$ ?
Write your answers as numbers accurate to 4 decimal places.

Efan Halliday 2020-10-25

A population of values has a normal distribution with $μ = 120.6$ and $σ = 48.5$ . You intend to draw a random sample of size $n = 105$ .
Find the probability that a sample of size $n = 105$ is randomly selected with a mean greater than 114.9.
$P (M > 114.9) =$ ?
Write your answers as numbers accurate to 4 decimal places.

cistG 2020-10-25

A normal population has mean $μ = 20$ and standard deviation $σ = 4$ .
What proportion of the population is less than 18?

CheemnCatelvew 2020-10-25

If $n = 110$ and $\hat{p}$ (p-hat) $= 0.66$ , construct a $95 %$ confidence interval. Give your answers to two decimals $? < p < ?$

Nann 2020-10-25

Is $Z_{3} \oplus Z_{9},$ isomorpbic to
$Z_{27} ?$
Decide and answer why exactly?

FizeauV 2020-10-23

1. Find each of the requested values for a population with a mean of $? = 40$ , and a standard deviation of $? = 8$ A. What is the z-score corresponding to $X = 52 ?$ B. What is the X value corresponding to $z = - 0.50 ?$ C. If all of the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores? D. What is the z-score corresponding to a sample mean of $M = 42$ for a sample of $n = 4$ scores? E. What is the z-scores corresponding to a sample mean of $M = 42$ for a sample of $n = 6$ scores? 2. True or false: a. All normal distributions are symmetrical b. All normal distributions have a mean of 1.0 c. All normal distributions have a standard deviation of 1.0 d. The total area under the curve of all normal distributions is equal to 1 3. Interpret the location, direction, and distance (near or far) of the following zscores: $a . - 2.00 b . 1.25 c . 3.50 d . - 0.34$ 4. You are part of a trivia team and have tracked your team’s performance since you started playing, so you know that your scores are normally distributed with $μ = 78$ and $σ = 12$ . Recently, a new person joined the team, and you think the scores have gotten better. Use hypothesis testing to see if the average score has improved based on the following 8 weeks’ worth of score data: $82, 74, 62, 68, 79, 94, 90, 81, 80$ . 5. You get hired as a server at a local restaurant, and the manager tells you that servers’ tips are $42 on average but vary about $$ 12 (μ = 42, σ = 12)$ . You decide to track your tips to see if you make a different amount, but because this is your first job as a server, you don’t know if you will make more or less in tips. After working 16 shifts, you find that your average nightly amount is $44.50 from tips. Test for a difference between this value and the population mean at the $α = 0.05$ level of significance.

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