Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. Use the t-table. H 0 : µ 1 - µ 2 = 0 H A : µ 1 - µ 2 = 249 = 272 s 1...

No.  2.
value:
1.11 points
 
    Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. Use the t-table.
     
    H0: μ1 − μ2 ≥ 0
    HA: μ1 − μ2 < 0
       = 249
    = 272
      s1 = 35
    s2 = 23
      n1 = 10
    n2 = 10
    a-1.
    Calculate the value of the test statistic under the assumption that the population variances are unknown but equal. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
      Test statistic
    
-1.74
 
    a-2.
    Calculate the critical value at the 5% level of significance. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
      Critical value
    
-1.734
 
    b-1.
    Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
      Test statistic
    
-1.74
 
    b-2.
    Calculate the critical value at the 5% level of significance. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
      Critical value
    
-1.753
 
    Pooled-Variance t Test for the Difference Between Two Means
    (assumes equal population variances)
    
    Data
    Hypothesized Difference
    0
    Level of Significance
    0.05
    Population 1 Sample
     
    Sample Size
    10
    Sample Mean
    249
    Sample Standard Deviation
    35
    Population 2 Sample
     
    Sample Size
    10
    Sample Mean
    272
    Sample Standard Deviation
    23
    
    
    Intermediate Calculations
    Population 1 Sample Degrees of Freedom
    9
    Population 2 Sample Degrees of Freedom
    9
    Total Degrees of Freedom
    18
    Pooled Variance
    877
    Standard Error
    13.2439
    Difference in Sample Means
    -23
    t Test Statistic
    -1.7367
    
    
    Lower-Tail Test
     
    Lower Critical Value
    -1.7341
    p-Value
    0.0498
    Reject the null hypothesis
     
    Separate-Variances t Test for the Difference Between Two Means
    (assumes unequal population variances)
    Data
    Hypothesized Difference
    0
    Level of Significance
    0.05
    Population 1 Sample
     
    Sample Size
    10
    Sample Mean
    249
    Sample Standard Deviation
    35.0000
    Population 2 Sample
     
    Sample Size
    10
    Sample Mean
    272
    Sample Standard Deviation
    23.0000
    
    
    Intermediate Calculations
    Numerator of Degrees of Freedom
    30765.1600
    Denominator of Degrees of Freedom
    1978.2956
    Total Degrees of Freedom
    15.5513
    Degrees of Freedom
    15
    Standard Error
    13.2439
    Difference in Sample Means
    -23
    Separate-Variance t Test Statistic
    -1.7367
    
    
    Lower-Tail Test
     
    Lower Critical Value
    -1.7531
    p-Value
    0.0515
    Do not reject the null hypothesis
     
    
    
No 3
1.11 points
 
    Consider the following sample data drawn independently from normally distributed populations with equal population variances. Use the t value.
    Sample 1
    Sample 2
    12.1
    8.9
    9.5
    10.9
    7.3
    11.2
    10.2
    10.6
    8.9
    9.8
    9.8
    9.8
    7.2
    11.2
    10.2
    12.1
    
    
Click here for the Excel Data File
    a.
    Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population.
     
     
H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠
    
    
    b-1.
    Calculate the value of the test statistic. (Negative value...