Suppose x has a distribution with μ = 60 and σ = 17. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25.     Yes, the x distribution is normal with mean μ x = 60 and σ x = 17 Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 60 and σ x = 17.  Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1. Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25. (c) Find P(56 ≤ x ≤ 61). (Round your answer to four decimal places.)

Question

Suppose x has a distribution with μ = 60 and σ = 17.

(a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?
No, the sample size is too small.
Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25.   
 Yes, the x distribution is normal with mean μ x = 60 and σ x = 17
Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1.

(b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16?
No, the sample size is too small.
Yes, the x distribution is normal with mean μ x = 60 and σ x = 17. 
Yes, the x distribution is normal with mean μ x = 60 and σ x = 1.1.
Yes, the x distribution is normal with mean μ x = 60 and σ x = 4.25.

(c) Find P(56 ≤ x ≤ 61). (Round your answer to four decimal places.)

Expert Answer

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in

Related Statistics Q&A

Find answers to questions asked by student like you

Q: Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) sho...

A: given x represent the dollar amount spent on supermarket impulse buying in a 10-minute shopping inte...

Q: entle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the...

A:  (a) Level of significance:Level of significance (α) indicates the probability of rejecting null hyp...

Q: The same media consultants decided to continue their investigation of the focal relationship between...

A: Regression analysis:Regression analysis estimates the relationship among variables. That is, it esti...

Q: There are several possible explanations for the existence of a statistical relationship between two ...

A: The existence of a statistical relationship between two variables can be due to several factors that...

Q: About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than Eng...

A: Solution:Let us consider that your class has 30 students.Null and alternative hypotheses:Here, to ch...

Q: Listed below are amounts of arsenic in samples of brown rice from three different states. The amount...

A: Solution:Null and alternative hypotheses:Null hypothesis: µ1 = µ2 = µ3Alternative hypothesis: µ1 ≠ µ...

Q: Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for ...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

Q: In a survey of 4061 ​adults, 738 say they have seen a ghost. Construct a​ 99% confidence interval fo...

A: In this question, it has been given that 738 people out of 4061 people have seen the ghost, we have ...

Q: An economist claims that the proportion of people who plan to purchase a fully electric vehicle as t...

A: The provided information are: Sample size (n) = 750Hypothesised proportion (po)=0.65From the provide...