formulas.) (a) State the null hypothesis  H0  and the alternative hypothesis  H1 . H0: H1: (b) Determine the type of test statistic to use.   ▼(Choose one)   (c) Find the value of the test statistic. (Round to three or more decimal

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 
1950
 pounds and a standard deviation of 
50
 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, 
μ
, of the cables is now greater than 
1950
 pounds. To see if this is the case, 
90
 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 
1964
 pounds. Can we support, at the 
0.10
 level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 
1950
 pounds? Assume that the population standard deviation has not changed.

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)

(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the critical value. (Round to three or more decimal places.)
 
(e) Can we support the claim that the population mean breaking strength of the newly-manufactured cables is greater than 
1950
 pounds?
 
Yes 
 
No
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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