Normal Distribution Questions and Answers: Get Expert Help

Recent questions in Normal distributions

Emily-Jane Bray 2021-02-16

A fair coin is flipped 104 times. Let x be the number of heads. What normal distributions best approximates x?

fortdefruitI 2021-02-13

Basic Computation: $\hat{p}$ Distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(a) Suppose $n = 33$ and $p = 0.21$ . Can we approximate the $\hat{p}$
distribution by a normal distribution? Why? What are the values of $μ_{\hat{p}}$ and $σ_{\hat{p}}$ .?

permaneceerc 2021-02-12

(c) Give a brief outline describing how the sample size for a predetermined error tolerance and level of confidence is determined from the normal distribution.

Chesley 2021-02-11

Which of the following binomial distributions can be well approximated by a normal distribution? A Poisson distribution? Both? Neither?
(с) $n = 500$ , $p = .001$

tabita57i 2021-02-09

Assume two normal distributions where $μ_{1} = 0.0001, σ_{1} = 0.01, μ_{2} = - .0002, σ_{2} = 0.015, and ρ = .45$ . Using $z_{s} = {.814, .259}$ , generate $z_{1} and z_{2}$ .

Kye 2021-02-09

Which of the following binomial distributions can be well approximated by a normal distribution? A Poisson distribution? Both? Neither?
(a) $n = 40$ , $p = .05$

snowlovelydayM 2021-02-08

Find the following percentiles for the standard normal distribution. Interpolate where appropriate.
a.91st
Percentage value is 91.

Rui Baldwin 2021-02-08

State the empirical rule for variables.

BenoguigoliB 2021-02-06

1. Going forward, let’s define as the average number of dots after forty rolls.
What is the expected value of x?
The standard deviation of x is 2.197. What is the standard error of x?
2. What is the probability of obtaining an average that is less than 4.25?
$n = 40$
$σ = 2.197$

babeeb0oL 2021-02-05

A normal distribution $μ = 30$ and $σ = 5$ .
Find the z score corresponding to $x = 25$ .

sodni3 2021-02-05

zScore and Raw Score A normal distribution has $μ = 30$ and $σ = 5$ .
(a)Find the z score corresponding to $x = 25$ .

Haven 2021-02-04

Let two independent random samples, each of size 10, from two normal distributions $N (μ_{1}, σ_{2}) and N (μ_{2}, σ_{2})$ yield $x = 4.8, s_{1}^{2}$
$= 8.64, y = 5.6, s_{2}^{2}$
= 7.88.
Find a 95% confidence interval for $μ_{1} - μ_{2}$ .

nicekikah 2021-01-28

For the standard normal distribution, find the following probabilities.
(a) $P r (0 \leq Z \leq 2.5)$

BenoguigoliB 2021-01-28

There is a direct relationship between the chi-square and the standard normal distributions, whereby the square root of each chi-square statistic is mathematically equal to the corresponding z statistic at significance level $α$ .
1.True
2.False

tinfoQ 2021-01-28

Select all that apply. We show that our sample statistics have (at minimum) a somewhat normal distribution because
this allows us to use t and z critical values.
this allows us to use t and z tables for probabilities.
this tells us that our sampling is appropriate.
normal distributions are cool and that's all we talk about in this class.

DofotheroU 2021-01-27

Np>5 and nq>5, estimate P(at least 11) with n=13 and p = 0.6 by using the normal distributions as an approximation to the binomial distribution. if $n p < 5 or n q < 5$ then state the normal approximation is not suitable.
p (at least 11) = ?

generals336 2021-01-22

What is the number called that determines each unique T distribution?

Suman Cole 2021-01-19

Identify the null and alternative hypothesis in the following scenario.
To determine if battery 1 lasts longer than battery 2, the mean lasting times, of the two competing batteries are compared. Twenty batteries of each type are randomly sampled and tested. Both populations have normal distributions with unknown standard deviations.
Select the correct answer below: $H_{0} : μ_{1} \geq μ_{2}, H_{a} : μ_{1} < μ_{2}$
$H_{0} : μ_{1} \leq - μ_{2}, H_{a} : μ_{1} > - μ_{2}$
$H_{0} : μ_{1} \geq - μ_{2}, H_{a} : μ_{1} < - μ_{2}$
$H_{0} : μ_{1} = μ_{2}, H_{a} : μ_{1} \neq μ_{2}$
$H_{0} : μ_{1} \leq μ_{2}, H_{a} : μ_{1} > μ_{2}$

Lennie Carroll 2021-01-13

(b) Give a brief outline describing how the normal approximation to the binomial distribution is used in the construction of confidence intervals for a proportion p.

Reeves 2021-01-13

a) Which of the following properties distinguishes the standard normal distribution from other normal distributions?
-The mean is located at the center of the distribution.
-The total area under the curve is equal to 1.00.
-The curve is continuous.
-The mean is 0 and the standard deviation is 1.
b) Find the probability $P (z < - 0.51)$ using the standard normal distribution.
c) Find the probability $P (z > - 0.59)$ using the standard normal distribution.

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