State the null and the alternative hypotheses for this test

Reference no: EM131705985

INTRODUCTORY STATISTICS Assessment: Problem Set

Q1) All first year students at the University of Irie are required to read a Foundation Course in Communications. For the purposes of Lectures, the first year intake of students are organized into two groups viz. Group A and Group B. Group B comprises students who have either an 'A' Level Pass or a Grade 'A' Pass at CXC General in English. All other students are assigned to Group A. However, both groups write the same final examination in the course.

The scores obtained in the course by two random samples of students, one from Group A and the other from Group B, are processed using MINITAB and some preliminary results are shown in Exhibit I below:

Exhibit I
Variable	N	Mean	Median	TrMean	StDev	SE mean
Group A	135	51.44	51.00	51.40	09.37	*
Group B	108	51.80	53.00	52.05	**	1.168

(a) Examine the results shown in Exhibit I and

(i) Fill in the gap marked * and **

(ii) Estimate the proportion of students scoring less than 60 in Group A.

(iii) Estimate the highest mark made by the first 75% of students in Group A.

(b) Exhibit II below shows the results of further analysis carried out on the Group B scores.

Exhibit II
Test of mu = 60 vs mu not = 60
Variable	N	Mean	StDev	SE Mean	T	P
Group B	135	51.444	9.368	0.806	*	**
95.0% CI = (49.850, 53.039)

(i) State the null and the alternative hypotheses for this test.

(ii) Calculate the missing value * and use tables to approximate the value of **.

(iii) If you were the statistician, what would you conclude and why?

Q2) It is claimed that the mean cost of a hotel room in Tobago is $125 US per day. A recent sample of 35 hotels showed that the mean cost of a hotel room is $138 US per day with a standard deviation of $26 US. Test at the 3% significant level if the current mean cost of a hotel room in Tobago is higher than $125US per day.

Reference no: EM131705985

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len1705985

11/4/2017 1:35:01 AM

Detailed Question: Only assessment 4 Problem Set #2, questions 17 to 18 are required to be completed. Only the question 17-18 of assessment 4 are to be completed. This assignment is to be prepared as a WORD document. Handwritten submissions can be scanned and uploaded to the dropbox for grading; however, care must be taken to ensure that the submission must be legible, not distorted in any way and is not rotated. The dropbox is set to accommodate only one file. Please be guided accordingly.

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