Question

Assume that *z* is the test statistic.

(a) *H*_{0}: *μ* = 22.5,
*H*_{a}: *μ* > 22.5; *x* = 25.8,
*σ* = 7.8, *n* = 29

(i) Calculate the test statistic *z*. (Round your answer to
two decimal places.)

(ii) Calculate the *p*-value. (Round your answer to four
decimal places.)

(b) *H*_{0}: *μ* = 200,
*H*_{a}: *μ* < 200; *x* = 191.1,
*σ* = 30, *n* = 24

(i) Calculate the test statistic *z*. (Round your answer to
two decimal places.)

(ii) Calculate the *p*-value. (Round your answer to four
decimal places.)

(c) *H*_{0}: *μ* = 12.4,
*H*_{a}: *μ* ≠ 12.4; *x* = 11.3,
*σ* = 5.5, *n* = 39

(i) Calculate the test statistic *z*. (Round your answer to
two decimal places.)

(ii) Calculate the *p*-value. (Round your answer to four
decimal places.)

Answer #1

a. i. Here test statistics

ii. As test is right tailed test so P value is

b. i. Here test statistics is

ii. As it is left tailed test so P value is

c. i. Here test statistics is

ii. As it is two tailed test so P value is

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