A sports shop selects a random sample and records the sales of items made in China and those made in America. Country of OriginnMeanStd. DeviationChina5022.59.75America3333.1511.6 a) What is the SE Mean for the sales from China? b) Calculate a 95% confidence interval for the mean sales amount made in America Question 2 The probability that a rosebud blooms is p. In a random sample of 500 rosebuds, 240 of them bloomed.With the data obtained in a random sample, a hypothesis test at the 1% level of significance is carried out to determine whether p is different from 0.45. a) State the null and alternative hypothesis.b) Calculate the test Statisticsc) What is the p-value of the test? d) Supporting your answer, state the conclusion of the test Question 3 Workers at a private business were given a grade (A, B, C) based on their yearly performance. The data were recorded along with the department to which they belong. The results obtained using MINITAB are shown below: Expected counts are printed below observed counts A BCTotalAccounting 12(12.960) 8 7 (7.830) (6.210)* Sales 17(16.800) 10 8 (10.150) (8.050)35 Marketing 19(18.240) 11 8 (**)(8.740)38 Total 4829 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + 0.0024 + 0.0022 +0.0003 + 0.0317 +0.0000 +*** = 0.2746 DF = ??, p-value = ??? a) Carefully define the null and alternative hypotheses of the ?2 test of the above table.b) Find the missing values ‘*’, ‘**’, ‘***’ ??, ??? c) What is the conclusion of this test? Give reasons for your answer.

From the provided information, The mean and standard deviation for the sales from China are given…

Answered: A sports shop selects a random sample…

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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Question

A sports shop selects a random sample and records the sales of items made in China and those made in America.

Country of Origin	n	Mean	Std. Deviation
China	50	22.5	9.75
America	33	33.15	11.6

a) What is the SE Mean for the sales from China?

b) Calculate a 95% confidence interval for the mean sales amount made in America

Question 2

The probability that a rosebud blooms is p. In a random sample of 500 rosebuds, 240 of them bloomed.

With the data obtained in a random sample, a hypothesis test at the 1% level of significance is carried out to determine whether p is different from 0.45.

a) State the null and alternative hypothesis.

b) Calculate the test Statistics

c) What is the p-value of the test?

d) Supporting your answer, state the conclusion of the test

Question 3

Workers at a private business were given a grade (A, B, C) based on their yearly performance. The data were recorded along with the department to which they belong. The results obtained using MINITAB are shown below:

Expected counts are printed below observed counts
	A	B	C	Total
Accounting	12 (12.960)	8	7
(7.830)	(6.210)	*
Sales	17 (16.800)	10	8
(10.150)	(8.050)	35
Marketing	19 (18.240)	11	8
(**)	(8.740)	38
Total	48	29	23	100
Chi-sq =	0.0711 +	0.0037 +	0.1005 +
	0.0024 +	0.0022 +	0.0003 +
	0.0317 +	0.0000 +	*******

= 0.2746

DF = ??, p-value = ???

a) Carefully define the null and alternative hypotheses of the ?2 test of the above table.

b) Find the missing values ‘*’, ‘**’, ‘***’ ??, ???

c) What is the conclusion of this test? Give reasons for your answer.

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