hypothesis testing, P-value calculation, standard deviation unknown
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i have following problem,
"The null hypothesis says that a sprinter's reaction time follows a normal distribution with mean at most 0.150 seconds. Six measurements of a sprinter's reaction time show 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds. What is the p value?"
i have calculated first sample mean as 0.157
and standard deviation under t-student distribution as 0.00686
then applying $t=frac{bar{x}-mu}{s/sqrt{n}}$ i got 2.45
CDF of t(2.45) is around 0.973 which i believe is the p-value requested.
what wrong did i do?
hypothesis-testing
asked Dec 10 '18 at 14:22
NourNour
254
$endgroup$
add a comment |
$begingroup$
i have following problem,
"The null hypothesis says that a sprinter's reaction time follows a normal distribution with mean at most 0.150 seconds. Six measurements of a sprinter's reaction time show 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds. What is the p value?"
i have calculated first sample mean as 0.157
and standard deviation under t-student distribution as 0.00686
then applying $t=frac{bar{x}-mu}{s/sqrt{n}}$ i got 2.45
CDF of t(2.45) is around 0.973 which i believe is the p-value requested.
what wrong did i do?
hypothesis-testing
asked Dec 10 '18 at 14:22
NourNour
254
$endgroup$
$begingroup$
It's $p=1-0.973$.
$endgroup$
– Michael Hoppe
Dec 10 '18 at 19:20
$begingroup$
Yes p = 1 - cdf(t_score). thank you Michael.
$endgroup$
– Nour
Dec 12 '18 at 2:59
add a comment |
$begingroup$
i have following problem,
"The null hypothesis says that a sprinter's reaction time follows a normal distribution with mean at most 0.150 seconds. Six measurements of a sprinter's reaction time show 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds. What is the p value?"
i have calculated first sample mean as 0.157
and standard deviation under t-student distribution as 0.00686
then applying $t=frac{bar{x}-mu}{s/sqrt{n}}$ i got 2.45
CDF of t(2.45) is around 0.973 which i believe is the p-value requested.
what wrong did i do?
hypothesis-testing
asked Dec 10 '18 at 14:22
NourNour
254
$endgroup$
i have following problem,
"The null hypothesis says that a sprinter's reaction time follows a normal distribution with mean at most 0.150 seconds. Six measurements of a sprinter's reaction time show 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds. What is the p value?"
i have calculated first sample mean as 0.157
and standard deviation under t-student distribution as 0.00686
then applying $t=frac{bar{x}-mu}{s/sqrt{n}}$ i got 2.45
CDF of t(2.45) is around 0.973 which i believe is the p-value requested.
what wrong did i do?
hypothesis-testing
hypothesis-testing
asked Dec 10 '18 at 14:22
NourNour
254
asked Dec 10 '18 at 14:22
NourNour
254
asked Dec 10 '18 at 14:22
NourNour
254
asked Dec 10 '18 at 14:22
NourNour
254
asked Dec 10 '18 at 14:22
NourNour
254
254
$begingroup$
It's $p=1-0.973$.
$endgroup$
– Michael Hoppe
Dec 10 '18 at 19:20
$begingroup$
Yes p = 1 - cdf(t_score). thank you Michael.
$endgroup$
– Nour
Dec 12 '18 at 2:59
add a comment |
$begingroup$
It's $p=1-0.973$.
$endgroup$
– Michael Hoppe
Dec 10 '18 at 19:20
$begingroup$
Yes p = 1 - cdf(t_score). thank you Michael.
$endgroup$
– Nour
Dec 12 '18 at 2:59
$begingroup$
It's $p=1-0.973$.
$endgroup$
– Michael Hoppe
Dec 10 '18 at 19:20
$begingroup$
It's $p=1-0.973$.
$endgroup$
– Michael Hoppe
Dec 10 '18 at 19:20
$begingroup$
Yes p = 1 - cdf(t_score). thank you Michael.
$endgroup$
– Nour
Dec 12 '18 at 2:59
$begingroup$
Yes p = 1 - cdf(t_score). thank you Michael.
$endgroup$
– Nour
Dec 12 '18 at 2:59
add a comment |
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$begingroup$
It's $p=1-0.973$.
$endgroup$
– Michael Hoppe
Dec 10 '18 at 19:20
$begingroup$
Yes p = 1 - cdf(t_score). thank you Michael.
$endgroup$
– Nour
Dec 12 '18 at 2:59