Question

?? 2000 Prof. Rathe NAME: Valeria Arredondo Project # 3 SHOW ALL WORK! The following data represents a sample of 24 cumulative averages for the current Nassau Community College Liberal Arts students with at least 30 credits. 2.88 2.80 3.41 3.78 3.35 3.34 3.23 2.49 2.11 2.84 3.91 2.51 2.37 3.34 2.06 2.93 4.00 1.00 2.22 2.83 1.95 3.28 2.76 2.33 Test the hypothesis that N.C.C Liberal Arts students have a 2.64 average if you believe the hypothesis is too low and answer the questions below. Use $\alpha = 5\%$. 1. State a Null ($H_0$) and Alternative ($H_a$) hypothesis for this test in symbols and in words. $H_0: \mu = 2.54$ $H_a: \mu < 2.54$ 2. Calculate the sample mean ($\bar{x}$) to two decimal places. 3. Calculate the estimate of the population standard deviation ($s$) to two decimal places. 4. Calculate the estimate of the standard deviation of the distribution of sample means (standard error). 5. Determine the degrees of freedom and critical $t$.

          ?? 2000
Prof. Rathe
NAME: Valeria Arredondo
Project # 3
SHOW ALL WORK!
The following data represents a sample of 24 cumulative averages for the current
Nassau Community College Liberal Arts students with at least 30 credits.
2.88
2.80
3.41
3.78
3.35
3.34
3.23
2.49
2.11
2.84
3.91
2.51
2.37
3.34
2.06
2.93
4.00
1.00
2.22
2.83
1.95
3.28
2.76
2.33
Test the hypothesis that N.C.C Liberal Arts students have a 2.64 average if you believe the
hypothesis is too low and answer the questions below. Use $\alpha = 5\%$.
1. State a Null ($H_0$) and Alternative ($H_a$) hypothesis for this test in symbols and in words.
$H_0: \mu = 2.54$
$H_a: \mu < 2.54$
2. Calculate the sample mean ($\bar{x}$) to two decimal places.
3. Calculate the estimate of the population standard deviation ($s$) to two decimal places.
4. Calculate the estimate of the standard deviation of the distribution of sample means
(standard error).
5. Determine the degrees of freedom and critical $t$.

?? 2000
Prof. Rathe
NAME: Valeria Arredondo
Project # 3
SHOW ALL WORK!
The following data represents a sample of 24 cumulative averages for the current
Nassau Community College Liberal Arts students with at least 30 credits.
2.88
2.80
3.41
3.78
3.35
3.34
3.23
2.49
2.11
2.84
3.91
2.51
2.37
3.34
2.06
2.93
4.00
1.00
2.22
2.83
1.95
3.28
2.76
2.33
Test the hypothesis that N.C.C Liberal Arts students have a 2.64 average if you believe the
hypothesis is too low and answer the questions below. Use α = 5%.
1. State a Null (H0) and Alternative (Ha) hypothesis for this test in symbols and in words.
H0: μ = 2.54
Ha: μ < 2.54
2. Calculate the sample mean (x̅) to two decimal places.
3. Calculate the estimate of the population standard deviation (s) to two decimal places.
4. Calculate the estimate of the standard deviation of the distribution of sample means
(standard error).
5. Determine the degrees of freedom and critical t.

Added by Melissa B.

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