According to the N.Y. Times Almanac the mean family size in the U.S. Is 3.18. A sample of a college math class resulted in the following family sizes: 5; 3; 5; 4; 4; 3; 7; 4; 3; 2; 5; 4; 6; 3; 3; 2; 7; 4; 5; 3; 2; 3; 4; 2. At = 0.05 level, is the class's mean family size greater than the national average? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. OH: 3.18 ⒸH: ≤3.18 ⒸH₂=3.18 O Ho: μ>3.18 State the alternative hypothesis. ⒸH₂3.18 ⒸH₂ μ<3.18 Ο Haid = 3.18 OH₂>3.18

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According to the NY Times Almanac the mean family size in the US. Is 3.18. A sample of a college math class resulted in the following family
sizes:
5; 3; 5; 4; 4; 3; 7:43254633; 27: 4:53; 23;4;2
At a 0.05 level, is the class's mean family size greater than the national average?
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In
general, you must first prove that assumption, though.)
Fart tal
State the null hypothesis.
ⒸH: 44-3.18
ⒸH: 43.18
OH H=318
OM
4>3.18
State the alternative hypothesis.
OH ≤3.18
OH, μ<3.18
- Hattila
ⒸH-43.18
Transcribed Image Text:According to the NY Times Almanac the mean family size in the US. Is 3.18. A sample of a college math class resulted in the following family sizes: 5; 3; 5; 4; 4; 3; 7:43254633; 27: 4:53; 23;4;2 At a 0.05 level, is the class's mean family size greater than the national average? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Fart tal State the null hypothesis. ⒸH: 44-3.18 ⒸH: 43.18 OH H=318 OM 4>3.18 State the alternative hypothesis. OH ≤3.18 OH, μ<3.18 - Hattila ⒸH-43.18
Part (bl
What is the p-value for the test?
Part (3)
State alpha. (Enter an exact number as an integer, fraction, or decimal.)
PET(S)
What is your decision?
Ⓒ Reject the null hypothesis.
O Do not reject the null hypothesis.
Partle]
Write a conclusion.
There is sufficient evidence to support the claim that the class's mean family size is greater than the national average of 3.18.
There is not sufficient evidence to support the claim that the class's mean family size is greater than the national average of 3.18
Panin
Does the Almonor claim remain valid? Why?
O The Aimanoc claim can still be considered valid, because the sample does not meet the requirements for inference. For instance, it is
not a randomly generated sample
O. The Almoeos dlaim cannot still be cons dered valid, because the samole meets
the requirements for inference For instance it is a
ht
Fundomly generated sample
Dhed
Transcribed Image Text:Part (bl What is the p-value for the test? Part (3) State alpha. (Enter an exact number as an integer, fraction, or decimal.) PET(S) What is your decision? Ⓒ Reject the null hypothesis. O Do not reject the null hypothesis. Partle] Write a conclusion. There is sufficient evidence to support the claim that the class's mean family size is greater than the national average of 3.18. There is not sufficient evidence to support the claim that the class's mean family size is greater than the national average of 3.18 Panin Does the Almonor claim remain valid? Why? O The Aimanoc claim can still be considered valid, because the sample does not meet the requirements for inference. For instance, it is not a randomly generated sample O. The Almoeos dlaim cannot still be cons dered valid, because the samole meets the requirements for inference For instance it is a ht Fundomly generated sample Dhed
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