--%>
Assignment Help - homework help

State the hypotheses

At Western University the historical mean of scholarship examination score for freshman applications is 900. Population standard deviation is assumed to be known as 180. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed.

a) State the hypotheses.

b) What is the 95% confidence interval estimate of the population mean examination score if a

sample of 100 applications provided a sample mean 935?

c) Use the confidence interval approach to conduct a hypothesis test. What is your conclusion?

d) Assuming α = .05, conduct p-value based and critical-value based hypothesis tests. How do the results compare in all the three cases?

 

E

Expert

Verified

(a)

Null Hypothesis H0: µ =900

Alternative Hypothesis H1: µ ≠ 900

(b)

C.I for mean = [X-bar - Z*SD/  < µ < X-bar + Z*SD/  ]

                       = [935 - 1.96*180/10 < µ < 935 + 1.96*180/10]

                       = [899.72, 970.28]

(c)

900 is just within the interval at lower end, so we can't reject null hypothesis.

(d)

Z-statistic = (935-900)/180/

                   = 1.94

1.94 is neither greater than 1.96 nor smaller than -1.96 so we can not reject null hypothesis. P-value will be slightly greater than level of significance α.

 

   Related Questions in Basic Statistics

  • Q : Principles of data analysis For the

    For the data analysis project, you will address some questions that interest you with the statistical methodology we are learning in class. You choose the questions; you decide how to collect data; you do the analyses. The questions can address almost any topic,

    		•
  • Q : Designing a system What are the

    What are the questions that comes into mind when designing a system?

    		•
  • Q : Cumulative Frequency and Relative

    Explain differences between Cumulative Frequency and Relative Frequency?

    		•
  • Q : Homework help on Human memory & SPSS

    Effect of Scopolamine on Human Memory: A Completely Randomized Three Treamtent Design (N = 28) Scopolamine is a sedative used to induce sle

    		•
  • Q : Sample z test and Sample t test A

    A random sample X1, X2, …, Xn is from a normal population with mean µ and variance σ2. If σ is unknown, give a 95% confidence interval of the population mean, and interpret it. Discuss the major diff

    		•
  • Q : Assumptions in Queuing system

    Assumptions in Queuing system: • Flow balance implies that the number of arrivals in an observation period is equal to the

    		•
  • Q : OIL I need to product when oil will

    I need to product when oil will finish time (by years) for 6 countries if the keep their production (per day) in the same level. So, the 6 countries have fixed reserves and production 1. statistics for Bahrain Crude oil reserves (million barrels) = 124.6 be careful in million Crude oil producti

    		•
  • Q : Model Checking Approach Model Checking

    Model Checking Approach: • Specify program model and exhaustively evaluate that model against a speci?cation        –Check that properties hold   

  • Q : State the hypotheses At Western

    At Western University the historical mean of scholarship examination score for freshman applications is 900. Population standard deviation is assumed to be known as 180. Each year, the assistant dean uses a sample of applications to determine whether the mean ex

    		•
  • Q : How to solve statistics assignment in

    How to solve staistics assignment, i need some help in solving stats assignment on AVOVA based problems. Could you help in solving this?

    		•