The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 45 46 59 54 49 60 54 50 50 45 51 55 (a) Determine the null and alternative hypotheses? Ho: P o 47 V o hours H1: P o 47 o hours (b) Determine the test statistic t= v 35.4236 (c) Determine the p-value. p-value : = 0.0000

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The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A
newly hired engineer at a start-up company believes that employees at start-up companies work more on
average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in
hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of
significance. Give answer to at least 4 decimal places.
Hours
45
46
59
54
49
60
54
50
50
45
51
55
(a) Determine the null and alternative hypotheses?
Ho: P
o 47
V o hours
H1: P
o 47
o hours
(b) Determine the test statistic t= v
35.4236
(c) Determine the p-value. p-value :
= 0.0000
Transcribed Image Text:The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 45 46 59 54 49 60 54 50 50 45 51 55 (a) Determine the null and alternative hypotheses? Ho: P o 47 V o hours H1: P o 47 o hours (b) Determine the test statistic t= v 35.4236 (c) Determine the p-value. p-value : = 0.0000
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A
newly hired engineer at a start-up company believes that employees at start-up companies work more on
average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in
hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of
significance. Give answer to at least 4 decimal places.
Hours
45
46
59
54
49
60
54
50
50
45
51
55
(a) Determine the null and alternative hypotheses?
Ho: P
o 47
V o hours
H1: P
o 47
o hours
(b) Determine the test statistic t= v
35.4236
(c) Determine the p-value. p-value :
= 0.0000
Transcribed Image Text:The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 45 46 59 54 49 60 54 50 50 45 51 55 (a) Determine the null and alternative hypotheses? Ho: P o 47 V o hours H1: P o 47 o hours (b) Determine the test statistic t= v 35.4236 (c) Determine the p-value. p-value : = 0.0000
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