314180
18.11.2019 •
Mathematics
Assume the general population gets an average of 7 hours of sleep per night. you randomly select 45 college students and survey them on their sleep habits. from this sample, the mean number of hours of sleep is found to be 6.87 hours with a standard deviation of 0.55 hours. you claim that college students get less sleep than the general population. that is, you claim the mean number of hours of sleep for all college students is less than 7 hours. test this claim at the 0.10 significance level.
(a) what type of test is this?
this is a right-tailed test.this is a left-tailed test. this is a two-tailed test.
(b) what is the test statistic? round your answer to 2 decimal places.
tx=
(c) what is the critical value of t? use the answer found in the t-table or round to 3 decimal places.
tα =
(d) what is the conclusion regarding the null hypothesis?
reject h0
fail to reject h0
(e) choose the appropriate concluding statement.
the data supports the claim that college students get less sleep than the general population.
there is not enough data to support the claim that college students get less sleep than the general population.
we reject the claim that college students get less sleep than the general population.
we have proven that college students get less sleep than the general population.
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Ответ:
The data supports the claim that college students get less sleep than the general population.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 7 hours
Sample mean,
= 6.87 hours
Sample size, n = 145
Alpha, α = 0.10
Sample standard deviation, s = 0.55 hours
a) First, we design the null and the alternate hypothesis
We use One-tailed t(left tailed) test to perform this hypothesis.
b) Formula:
Putting all the values, we have
c) Now,
d) Since,
We fail to accept the null hypothesis and reject it.
e) Thus, the data supports the claim that college students get less sleep than the general population.
Ответ:
Mason has
16 20¢ stamps;25 3¢ stamps; 40 49¢ stamps.Step-by-step explanation:
Let x be the number of 20¢ stamps, then the number of 3¢ stamps is x + 9.
Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.
Amounts:
in 49¢:Total amount:
Hence,
Mason has
16 20¢ stamps;25 3¢ stamps; 40 49¢ stamps.