Mathematics, 06.05.2020 04:07 balletbella0531

If a random sample of 30 homes south of Center Street in Provo has a mean selling price of $145,000 and a standard deviation of $4750, and a random sample of 28 homes north of Center Street has a mean selling price of $148,325 and a standard deviation of $5750, can you conclude that there is a significant difference between the selling price of homes in these two areas of Provo at the 0.05 level.
(a) Find t. (Give your answer correct to two decimal places.)(b) Find the p-value. (Give your answer correct to four decimal places.)

Answers: 1

Show answers

Answers

Answer from: Kicanty20

(a) The value of test statistics = -2.41

(b) The P-value = 0.0097

Step-by-step explanation:

We are given that a random sample of 30 homes south of Center Street in Provo has a mean selling price of $145,000 and a standard deviation of $4750, and a random sample of 28 homes north of Center Street has a mean selling price of $148,325 and a standard deviation of $5750.

Let $\mu_1$ = mean selling price of homes south of Center Street in Provo

$\mu_2$ = mean selling price of homes north of Center Street in Provo

SO, Null Hypothesis, H_0 : $\mu_1-\mu_2=0$ or $\mu_1= \mu_2$ {means that there is no significant difference between the selling price of homes in these two areas of Provo}

Alternate Hypothesis, H_A : $\mu_1-\mu_2\neq 0$ or $\mu_1\neq \mu_2$ {means that there is a significant difference between the selling price of homes in these two areas of Provo}

The test statistics that will be used here is Two-sample t test statistics as we don't know about the population standard deviations;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ t__n__1+_n__2-2

where, $\bar X_1$ = sample mean selling price of homes south of Center Street in Provo = $145,000

$\bar X_2$ = sample mean selling price of homes north of Center Street in Provo = $148,325

s_1 = sample standard deviation of homes south of Center Street in Provo = $4,750

s_2 = sample standard deviation of homes north of Center Street in Provo = $5,750

n_1 = sample of homes south of Center Street in Provo = 30

n_2 = sample of homes north of Center Street in Provo = 28

Also, $s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(30-1)\times 4,750^{2}+(28-1)\times 5,750^{2} }{30+28-2} }$ = 5255.95

(a) So, the test statistics = $\frac{(145,000-148,325)-(0)}{5255.95 \times \sqrt{\frac{1}{30}+\frac{1}{28} } }$ ~ t_5_6

= -2.41

(b) Now, the P-value of the test statistics is given by;

P-value = P( t_5_6 < -2.41) = 0.0097 {using t table}

Answer from: Quest

one that is bigger than 3 1/2

Answer from: Quest

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

Another question on Mathematics

Mathematics, 21.06.2019 18:30

Sasha drank 8 bottles of water everyday for a week. how many bottles of water did she drink in total?

Answers: 2

Answer

Mathematics, 21.06.2019 20:30

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

With these 5 geometry questions! pls 1.)quadrilateral abcd is inscribed in this circle.what is the measure of ∠a ? enter your answer in the box.°2.)quadrilateral abcd is inscribed in a circle.what is the measure of angle a? enter your answer in the box.m∠a= 3.)quadrilateral abcd is inscribed in this circle.what is the measure of angle b? enter your answer in the box.m∠b= °4.)quadrilateral abcd is inscribed in this circle.what is the measure of angle a? enter your answer in the box.°5.) quadrilateral abcd is inscribed in this circle.what is the measure of angle c? enter your answer in the box.°

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Apyramid fits exactly inside a cube. the cube and the pyramid share the same square base, and they are both exactly the same height. the volume of the cube is 66 cubic inches. what is the volume of the pyramid? explain your answer. answer asap

Answers: 1

Answer

You know the right answer?

If a random sample of 30 homes south of Center Street in Provo has a mean selling price of $145,000...

Questions