Find the p -value for the following hypothesis test. H0: ?=24,? H1: ??24, n=64,

Question

Find the p-value for the following hypothesis test. H0: ?=24,?  H1: ??24,  n=64,  x¯=22.00,  ?=6.4

Round your answer to four decimal places.

Find the p-value for the following hypothesis test. H0: ?=23,  H1: ?<23,  n=49,  x¯=21.25,  ?=5.6

Round your answer to four decimal places.

Consider H0: ?=38 versus H1: ?>38. A random sample of 35 observations taken from this population produced a sample mean of 40.28. The population is normally distributed with ?=7.2.

Calculate the p-value. Round your answer to four decimal places.

p=

Explanation / Answer

1. The statistical software output for this problem is:

One sample Z hypothesis test:
: Mean of population
H0 : = 24
HA : 24
Standard deviation = 6.4

Hypothesis test results:

Hence,

p - value = 0.0124

2. The statistical software output for this problem is:

One sample Z hypothesis test:
: Mean of population
H0 : = 23
HA : < 23
Standard deviation = 5.6

Hypothesis test results:

Hence,

p - value = 0.0144

3. The statistical software output for this problem is:

One sample Z hypothesis test:
: Mean of population
H0 : = 38
HA : > 38
Standard deviation = 7.2

Hypothesis test results:

Hence,

p - value = 0.0305

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