What is the margin of error for a sample statistic for a population with a standard deviation of 7.75?

How many possibilities are there for naming line VZ?

Vlad [161]

Two possiblities.

VZ, and ZV.

7 0

3 years ago

An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and

Maslowich

Answer:

Null hypothesis: $\mu_{Visa}=\mu_{Mastercard}$

Alternative hypothesis: $\mu_{Visa} \neq \mu_{Mastercard}$

$t=\frac{66970-59060}{\sqrt{\frac{9500^2}{11}+\frac{10000^2}{17}}}}=2.108$

$p_v =2*P(t_{26}>2.108)=0.0448$

Comparing the p value with the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and a would be a significant difference between the in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold at 10% of significance .

Step-by-step explanation:

Data given and notation

$\bar X_{Visa}=66970$ represent the mean for Visa

$\bar X_{Mastercard}=59060$ represent the mean for the sample Mastercard

$s_{Visa}=9500$ represent the population standard deviation for Visa

$s_{Mastercard}=10000$ represent the population standard deviation for Mastercard

$n_{Visa}=11$ sample size for the group Visa

$n_{Mastercard}=17$ sample size for the group Mastercard

t would represent the statistic (variable of interest)

$\alpha=0.1$ significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis: $\mu_{Visa}=\mu_{Mastercard}$

Alternative hypothesis: $\mu_{Visa} \neq \mu_{Mastercard}$

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

$z=\frac{\bar X_{Visa}-\bar X_{Masterdcard}}{\sqrt{\frac{s^2_{Visa}}{n_{Visa}}+\frac{s^2_{Mastercard}}{n_{Mastercard}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$t=\frac{66970-59060}{\sqrt{\frac{9500^2}{11}+\frac{10000^2}{17}}}}=2.108$

What is the p-value for this hypothesis test?

First we need to calculate the degrees of freedom given by:

$df= n_{Visa}+n_{Mastercard}-2 = 11+17-2= 26$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{26}>2.108)=0.0448$

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, and a would be a significant difference between the in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold at 10% of significance .

4 0

2 years ago

What is the simplified value of the exponential expression 16 Superscript one-fourth?

pochemuha

<u>Answer: </u>

The value of the exponential expression $16^{\frac{1}{4}}$ is 2

<u>Solution:</u>

16 superscript one-fourth= $16^{\frac{1}{4}}$

As per the problem,

We have to find the value of $16^{\frac{1}{4}}$

16 in terms of 2 can be written as $2\times2\times2\times2$

= $(2 \times 2 \times 2 \times 2)^{\frac{1}{4}}$

= $\left(2^{4}\right)^{\frac{1}{4}}$

As per the exponential rule, $a^{(m)^{n}}=a^{m \times n}$

= $2^{4 \times \frac{1}{4}}$

Here, $4\times\frac{1}{4}=1$

= $2^{1}$

= 2

Hence, the value is 2.

9 0

2 years ago

Read 2 more answers

Dear maths grow up and start solving your problems I'm tired of solving them for you.

Liula [17]

Answer:

This is what brainly is for tho

Step-by-step explanation:

8 0

2 years ago

A jar contains, cardinal and

natulia [17]

Answer:

D

Step-by-step explanation:

ince the only colors are white, green, yellow, red, and purple, we can see that NOT getting red or purple is the same as GETTING white, green or yellow

So, P(NOT getting red or purple) = P(GETTING white, green or yellow)

There are 60 jellybeans in total.

Number of jellybeans that are white, green or yellow = 22 + 18 + 11 = 51

So, P(GETTING white, green or yellow) = 51/60

= 17/20

= 0.85

Answer: D

4 0

3 years ago