1..A simple random sample of size nequals=200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 117 responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals α=0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. (b) Calculate the P-value. 2,.. A simple random sample of size nequals=15 is drawn from a population that is normally distributed. The sample mean is found to be x overbarxequals=23.9 and the sample standard deviation is found to be sequals=6.3 Determine if the population mean is different from 26 at the alph α=0.01level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Upper H0:mu equals=26 Upper H1: mμ not equals≠26 (b) Calculate the P-value. P-valueequals=nothing (Round to three decimal places as needed.) 3.,, A simple random sample of size nequals=40 is drawn from a population. The sample mean is found to be 106.5,and the sample standard deviation is found to be 17.8Is the population mean greater than 100at the alphaα =0.1 level of significance? Determine the null and alternative hypotheses. Upper H0: mu equals 100 Upper H1: mu greater than 100μ Compute the test statistic. ▼equals=nothing (Round to two decimal places as needed.) 4... In 1945,an organization asked 1502 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 795responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945?Use the α=0.01 level of significance. What are the null and alternative hypotheses? Upper H0: pp equals= 0.5 versus Upper H1: pp greater than> 0.5 (Type integers or decimals. Do not round.) Determine the test statistic, z0. z0 equals=nothing (Round to two decimal places as needed.) 5... A certain vehicle emission inspection station advertises that the wait time for customers is less than 66minutes. A local resident wants to test this claim and collects a random sample of 64wait times for customers at the testing station. Shefinds that the sample mean is 5.41minutes, with a standard deviation of 2.5 minutes. Does the sample evidence support the inspection station's claim? Use the α equals=0.005 level of significance to test the advertised claim that the wait time is less than 66 minutes. What are the hypotheses for this test? Upper H0: muμ quals= 66 minutes Upper H1: muμ less than< 66 minutes (Type an integer or a decimal.) What is the value of the test statistic? ▼ z0 t0 equals=nothing (Round to two decimal places as needed.)

1..A simple random sample of size nequals=200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 117 responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals α=0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. (b) Calculate the P-value. 2,.. A simple random sample of size nequals=15 is drawn from a population that is normally distributed. The sample mean is found to be x overbarxequals=23.9 and the sample standard deviation is found to be sequals=6.3 Determine if the population mean is different from 26 at the alph α=0.01level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. Upper H0:mu equals=26 Upper H1: mμ not equals≠26 (b) Calculate the P-value. P-valueequals=nothing (Round to three decimal places as needed.) 3.,, A simple random sample of size nequals=40 is drawn from a population. The sample mean is found to be 106.5,and the sample standard deviation is found to be 17.8Is the population mean greater than 100at the alphaα =0.1 level of significance? Determine the null and alternative hypotheses. Upper H0: mu equals 100 Upper H1: mu greater than 100μ Compute the test statistic. ▼equals=nothing (Round to two decimal places as needed.) 4... In 1945,an organization asked 1502 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 795responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945?Use the α=0.01 level of significance. What are the null and alternative hypotheses? Upper H0: pp equals= 0.5 versus Upper H1: pp greater than> 0.5 (Type integers or decimals. Do not round.) Determine the test statistic, z0. z0 equals=nothing (Round to two decimal places as needed.) 5... A certain vehicle emission inspection station advertises that the wait time for customers is less than 66minutes. A local resident wants to test this claim and collects a random sample of 64wait times for customers at the testing station. Shefinds that the sample mean is 5.41minutes, with a standard deviation of 2.5 minutes. Does the sample evidence support the inspection station's claim? Use the α equals=0.005 level of significance to test the advertised claim that the wait time is less than 66 minutes. What are the hypotheses for this test? Upper H0: muμ quals= 66 minutes Upper H1: muμ less than< 66 minutes (Type an integer or a decimal.) What is the value of the test statistic? ▼ z0 t0 equals=nothing (Round to two decimal places as needed.)

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

Question

1..A simple random sample of size

nequals=200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed,

117 responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals α=0.05

level of significance. Complete parts (a) through

(d).

(a) Determine the null and alternative hypotheses.

(b) Calculate the P-value.

2,..

A simple random sample of size nequals=15 is drawn from a population that is normally distributed. The sample mean is found to be

x overbarxequals=23.9 and the sample standard deviation is found to be

sequals=6.3 Determine if the population mean is different from

26 at the alph α=0.01level of significance. Complete parts (a) through (d) below.

(a) Determine the null and alternative hypotheses.

Upper H0:mu

equals=26

Upper H1: mμ

not equals≠26

(b) Calculate the P-value.

P-valueequals=nothing

(Round to three decimal places as needed.)

3.,,

A simple random sample of size nequals=40 is drawn from a population. The sample mean is found to be 106.5,
and the sample standard deviation is found to be 17.8
Is the population mean greater than 100
at the alphaα =0.1 level of significance?

Determine the null and alternative hypotheses.

Upper H0:

mu equals 100

Upper H1:

mu greater than 100μ

Compute the test statistic.

▼equals=nothing

(Round to two decimal places as needed.)

4...

In 1945,an organization asked 1502 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 795
responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945?
Use the α=0.01 level of significance.

What are the null and alternative hypotheses?

Upper H0: pp

equals= 0.5

versus

Upper H1: pp greater than> 0.5

(Type integers or decimals. Do not round.)

Determine the test statistic,

z0.

z0 equals=nothing

(Round to two decimal places as needed.)

5...

A certain vehicle emission inspection station advertises that the wait time for customers is less than 66minutes. A local resident wants to test this claim and collects a random sample of 64
wait times for customers at the testing station. She
finds that the sample mean is 5.41minutes, with a standard deviation of

2.5 minutes. Does the sample evidence support the inspection station's claim? Use the α equals=0.005 level of significance to test the advertised claim that the wait time is less than 66 minutes.

What are the hypotheses for this test?

Upper H0: muμ quals= 66 minutes

Upper H1: muμ less than< 66

minutes

(Type an integer or a decimal.)

What is the value of the test statistic?

▼

equals=nothing

(Round to two decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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