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MATH 225N Week7 Assignment- Conducting a hypothesis test P-Value Approach, complete solutions.

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1. What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.73? (Do not round your answer; compute your answer using a value from the table below.) z−1.8−1.7−1.6−1.5−1.40.000.0360.0450.0550.0670.0810 .010.0350.0440.0540.0660.0790.020.0340.0430.0530.0640. 0780.030.0340.0420.0520.0630.0760.040.0330.0410.0510. 0620.0750.050.0320.0400.0490.0610.0740.060.0310.0390. 0480.0590.0720.070.0310.0380.0470.0580.0710.080.0300. 0380.0460.0570.0690.090.0290.0370.0460.0560.068 0.084 2. Mary, a javelin thrower, claims that her average throw is 61 meters. During a practice session, Mary has a sample throw mean of 55.5 meters based on 12 throws. At the 1% significance level, does the data provide sufficient evidence to conclude that Mary's mean throw is less than 61 meters? Accept or reject the hypothesis given the sample data below.  H0:μ=61 meters; Ha:μ61 meters  α=0.01 (significance level)  z0=−1.99  p=0.0233  The Right Choice Is Option E  i.e  Do Not Reject The Null Hypothesis because The P value is 0.02333 is Greater than The Significance Level 0.01 3. What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=0.27? (Do not round your answer; compute your answer using a value from the table below.) z0.10.20.30.40.50.000.5400.5790.6180.6550.6910.010.54 40.5830.6220.6590.6950.020.5480.5870.6260.6630.6980.0 30.5520.5910.6290.6660.7020.040.5560.5950.6330.6700.70

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Week 7 Assignment: Conducting a Hypothesis
Test for Mean - Population Standard Deviation
Known: P-Value Approach
1. What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic
of z0=−1.73? (Do not round your answer; compute your answer using a value from
the table below.)

z−1.8−1.7−1.6−1.5−1.40.000.0360.0450.0550.0670.0810
.010.0350.0440.0540.0660.0790.020.0340.0430.0530.0640.
0780.030.0340.0420.0520.0630.0760.040.0330.0410.0510.
0620.0750.050.0320.0400.0490.0610.0740.060.0310.0390.
0480.0590.0720.070.0310.0380.0470.0580.0710.080.0300.
0380.0460.0570.0690.090.0290.0370.0460.0560.068
0.084

61 meters. During a practice
2. Mary, a javelin thrower, claims that her average throw is
session, Mary has a sample throw mean of 55.5 meters based on 12 throws. At the
1% significance level, does the data provide sufficient evidence to conclude that Mary's
mean throw is less than 61 meters? Accept or reject the hypothesis given the sample
data below.

 H0:μ=61 meters; Ha:μ<61 meters
 α=0.01 (significance level)
 z0=−1.99
 p=0.0233
The Right Choice Is Option E

i.e

Do Not Reject The Null Hypothesis because The P value is

0.02333 is Greater than The Significance Level 0.01
3. What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic
of z0=0.27? (Do not round your answer; compute your answer using a value from the
table below.)

z0.10.20.30.40.50.000.5400.5790.6180.6550.6910.010.54
40.5830.6220.6590.6950.020.5480.5870.6260.6630.6980.0
30.5520.5910.6290.6660.7020.040.5560.5950.6330.6700.70

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