Suppose you are testing the hypothesis that the population mean of a normally ditributed random variable is greater than 580. You drawa random sample of 49 observations and you assume to know the population standard deviation to be equal to 45. You calculate the sample mean to be equal to 590. You are further informed that P(Z < 1.555) = 0.9401. What is the p-value of this sample's test statistic, and can you therefore reject the null hypothesis in this instance? O p-value = 0.9401; can reject the null hypothesis at 5% significance O p-value = 0.4700; cannot reject the null hypothesis at 5% significance O p-value 0.0599; cannot reject the null hypothesis at 5% significance O p-value = 0.1198; can reject the null hypothesis at 5% significance

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question
QUESTION 30
Suppose you are testing the hypothesis that the population mean of a normally ditributed random variable is greater than
580. You draw a random sample of 49 observations and you assume to know the population standard deviation to be equal
to 45. You calculate the sample mean to be equal to 590.
You are further informed that P(Z < 1.555) = 0.9401. What is the p-value of this sample's test statistic, and can you therefore
reject the null hypothesis in this instance?
O p-value = 0.9401; can reject the null hypothesis at 5% significance
O p-value = 0.4700; cannot reject the null hypothesis at 5% significance
O p-value = 0.0599; cannot reject the null hypothesis at 5% significance
O p-value = 0.1198; can reject the null hypothesis at 5% significance
%3D
Transcribed Image Text:QUESTION 30 Suppose you are testing the hypothesis that the population mean of a normally ditributed random variable is greater than 580. You draw a random sample of 49 observations and you assume to know the population standard deviation to be equal to 45. You calculate the sample mean to be equal to 590. You are further informed that P(Z < 1.555) = 0.9401. What is the p-value of this sample's test statistic, and can you therefore reject the null hypothesis in this instance? O p-value = 0.9401; can reject the null hypothesis at 5% significance O p-value = 0.4700; cannot reject the null hypothesis at 5% significance O p-value = 0.0599; cannot reject the null hypothesis at 5% significance O p-value = 0.1198; can reject the null hypothesis at 5% significance %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON