Question

Testing: H 0 : μ = 31.685 H 1 : μ ≠ 31.685 Your sample consists of 46 subjects, with a mean of 32.2 and standard deviation of 2.03. Calculate the test statistic, rounded to 2 decimal places. t =______

Answer #1

Solution :

This is the two tailed test,

The null and alternative hypothesis is ,

H_{0}
: = 31.685

H_{a} :
31.685

Test statistic = t =

= ( - ) / s / n

= (32.2 - 31.685) / 2.03 / 46

Test statistic = t = 1.72

1.
H 0 : p = 0.73
H 1 : p ≠ 0.73
Your sample consists of 83 subjects, with 59 successes.
Calculate the test statistic, rounded to 2 decimal places z
=_________________
2.
Testing:
H0:μ=27.5
H1:μ<27.5
Your sample consists of 22 subjects, with a mean of 26.1 and
standard deviation of 4.55.
Calculate the test statistic, rounded to 2 decimal places.
t=__________

T-Distribution Hypothesis Test Testing: H 0 : μ = 6.76 H 1 : μ
> 6.76 Your sample consists of 40 subjects, with a mean of 7.2
and standard deviation of 2.48. Calculate the test statistic,
rounded to 2 decimal places. t =

Testing: H0:μ= 38.375 H1: μ> 38.375 Your sample consists of
40 subjects, with a mean of 39.9 and a sample standard deviation
(s) of 4.65. Calculate the test statistic, rounded to 2 decimal
places. t=?

Testing:
H0:μ=6.915
H1:μ≠6.915
Your sample consists of 101 subjects, with a mean of 6.6 and
standard deviation of 3.77.
Calculate the test statistic, rounded to 2 decimal places.
t=_______________

Testing:
H0:μ=15.08H0:μ=15.08
H1:μ>15.08H1:μ>15.08
Your sample consists of 25 subjects, with a mean of 15.2 and
standard deviation of 2.24.
Calculate the test statistic, rounded to 2 decimal places.
t=

H0:μ=12.7H0:μ=12.7
H1:μ<12.7H1:μ<12.7
Your sample consists of 34 subjects, with a mean of 12.5 and
standard deviation of 1.42.
Calculate the test statistic, rounded to 2 decimal places.
t=t=

H 0 : p = 0.52
H 1 : p < 0.52
Your sample consists of 147 subjects, with 69 successes.
Calculate the test statistic, rounded to 2 decimal places

H0:μ=11.8H0:μ=11.8
H1:μ<11.8H1:μ<11.8
Your sample consists of 306 subjects, with a mean of 11.5 and
standard deviation of 4.72.
Calculate the test statistic, rounded to 2 decimal places.

In a hypothesis test with hypotheses H 0 : μ = 90 and H 1 : μ ≠
90 , a random sample of 16 elements selected from the population
produced a mean of 85.8 and a standard deviation of 5.7. The test
is to be made at the 10% significance level. Assume the population
is normally distributed.
What are the critical values of t?
-1.341 and 1.341
-1.746 and 1.746
-1.753 and 1.753
-1.645 and 1.645
What is the...

A researcher wishes to test the following hypotheses: H 0 : μ ≤
10 H A : μ > 10 Based on 54 independent observations, he
calculates a sample mean of 11 and a sample standard deviation of
4. Calculate the T-score he should use for his test statistic.
Report your answer to at least three decimal places, e.g.,
0.123.

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