(b) What sampling distribution will you use? What assumptions are you making?O The Student's t, since we assume that x has a normal distribution with known o.O The Student's t, since we assume that x has a normal distribution with unknown o.O The standard normal, since we assume that x has a normal distribution with known o.O The standard normal, since we assume that x has a normal distribution with unknown o.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Find (or estimate) the P-value.O P-value > 0.250O 0.125 < P-value < 0.250O 0.050 < P-value < 0.1250.025 < P-value < 0.050O 0.005 < P-value < 0.025O P-value < 0.005Sketch the sampling distribution and show the area corresponding to the P-value.-4-2244. The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a randomsample of 10 owners who had the fuel injection system replaced. The ages of the cars at the time of replacement were (in months):21 46 49 48 53 46 30 51 42 52A USE SALT(i) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to four decimal places.)X =monthsmonths(ii) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance.What are we testing in this problem?O single meanO single proportion(a) What is the level of significance?0.05State the null and alternate hypotheses.O Ho: H = 48; H,: H # 48O Ho: p = 48; H,: p # 48O Ho: p = 48; H: p > 48O H: H = 48; H,: µ < 48O Ho: P = 48; H: p < 48O Ho: H = 48; H,: µ > 48(b) What sampling distribution will you use? What assumptions are you making?O The Student's t, since we assume that x has a normal distribution with known o.tion with unkno wn c

As due to the honor-code, we are authorized to answer only 3 subparts for each question and that you haven't specified which of the 3 subparts you want the solutions for, the first 3 subparts are being answered for now. Requesting you to re-upload the question stating the remaining subparts for the answers to them with all the required information. The data is given as: Ages of the cars (xi) 21 46 49 48 53 46 30 51 42 52 number of observations: n = 10The Mean and Standard deviation are obtained as: mean : x¯ = 1n∑i=1nxi = 43.8standard deviation : s= 1n∑i=1n(xi - x¯ )2 = 10.3902 Therefore, x¯ = 43.8 , s = 10.3902 The null and alternative hypotheses are given as: H0 : μ = 48 months vs H1: μ < 48 monthsμ: population mean age of fuel injection systemThe sampling distribution to use with assumptions to make is given as: The student's t , since we assume that X has a normal distribution with unknown σThe P-value is obtained as: P( t < |t0 = -1.28|) = 0.117 Therefore, 0.050 < p-value <0.125

Math

Statistics

(b) What sampling distribution will you use? assumpti O The Student's t, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. The standard normal, since we assume that x has a normal distribution with unknown o. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value.

(b) What sampling distribution will you use? assumpti O The Student's t, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. The standard normal, since we assume that x has a normal distribution with unknown o. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t, since we assume that x has a normal distribution with known o.
O The Student's t, since we assume that x has a normal distribution with unknown o.
O The standard normal, since we assume that x has a normal distribution with known o.
O The standard normal, since we assume that x has a normal distribution with unknown o.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
Sketch the sampling distribution and show the area corresponding to the P-value.
-4
-2
2
4
4.

The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a random
sample of 10 owners who had the fuel injection system replaced. The ages of the cars at the time of replacement were (in months):
21 46 49 48 53 46 30 51 42 52
A USE SALT
(i) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to four decimal places.)
X =
months
months
(ii) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance.
What are we testing in this problem?
O single mean
O single proportion
(a) What is the level of significance?
0.05
State the null and alternate hypotheses.
O Ho: H = 48; H,: H # 48
O Ho: p = 48; H,: p # 48
O Ho: p = 48; H: p > 48
O H: H = 48; H,: µ < 48
O Ho: P = 48; H: p < 48
O Ho: H = 48; H,: µ > 48
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t, since we assume that x has a normal distribution with known o.
tion with unkno wn c

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