A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 293. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 32. At a =0.14, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H. Choose the correct answer below. OA. H p2 285 (claim) H u<285 OD. H = 285 O B. H: = 285 (daim) H, p> 285 OE Hu<285 H p2 285 (claim) C. H: us 285 H p> 285 (claim) OF. H: us 285 (claim) H> 285 (claim) Hp> 285 (b) Find the standardized test statistic z, and its corresponding area. z= 2.17 (Round to two decimal places as needed.) (c) Find the P-value. P-value= (Round to three decimal places as needed.)

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Chapter10: Statistics
Section10.3: Measures Of Spread
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21WB_MATH_1016_WBON
Ashley Ramos &
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A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 293. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is
more than 285. Assume that the population standard deviation is 32. At a = 0.14, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
(a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below.
O A. Ho: H2285 (claim)
O B. Ho: H= 285 (claim)
Ha:H> 285
Ψc. H : μ# 285
Ha:H<285
Ha: µ> 285 (claim)
OD. Ho:H= 285
Ο Ε. H : μ< 285
Ha: H2 285 (claim)
O F. Ho:us285 (claim)
H:µ> 285
Hai H> 285 (claim)
(b) Find the standardized test statistic z, and its corresponding area.
z = 2.17 (Round to two decimal places as needed.)
(c) Find the P-value.
P-value =
(Round to three decimal places as needed.)
%3D
Enter your answer in the answer box and then click Check Answer.
2 parts
Z remaining
Clear All
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P Type here to search
7:12 PM
1/14/2021
2)
DII
FS
Home
F9
PrtScn
F3
End
F10
PgUp
F4
De
F6
F8
F12
24
&
4.
6.
8.
Backspace
(8)
శ్రీ ీ
Transcribed Image Text:21WB_MATH_1016_WBON Ashley Ramos & Homework: Unit 7 Homework Save Score: 0.83 of 5 pts 6 of 14 (11 complete) HW Score: 49.17%, 24.58 of 50 pts 7.2.31-T Question Help A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 293. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 32. At a = 0.14, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: H2285 (claim) O B. Ho: H= 285 (claim) Ha:H> 285 Ψc. H : μ# 285 Ha:H<285 Ha: µ> 285 (claim) OD. Ho:H= 285 Ο Ε. H : μ< 285 Ha: H2 285 (claim) O F. Ho:us285 (claim) H:µ> 285 Hai H> 285 (claim) (b) Find the standardized test statistic z, and its corresponding area. z = 2.17 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) %3D Enter your answer in the answer box and then click Check Answer. 2 parts Z remaining Clear All Check Answer P Type here to search 7:12 PM 1/14/2021 2) DII FS Home F9 PrtScn F3 End F10 PgUp F4 De F6 F8 F12 24 & 4. 6. 8. Backspace (8) శ్రీ ీ
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