Question

he 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 10% level of significance. Give answer to at least 4 decimal places.

Hours |
---|

47 |

50 |

60 |

54 |

47 |

67 |

53 |

45 |

47 |

49 |

55 |

50 |

What are the correct hypotheses?

H_{0}: Select an answer x̄ σ μ s² s σ² p̂
p Select an answer > ≠ = < ≤
≥ hours

H_{1}: Select an answer p̂ σ² x̂ p s² σ μ
s Select an answer ≠ = ≥ > ≤
< hours

Based on the hypotheses, find the following:

Test Statistic=

p-value=

The correct decision is to Select an answer Reject the null hypothesis Accept the null hypothesis Fail to reject the null hypothesis Accept the alternative hypotheis .

The correct summary would be: Select an answer There is enough evidence to reject the claim There is enough evidence to support the claim There is not enough evidence to support the claim There is not enough evidence to reject the claim that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.

Answer #1

we have to test whether mean is more than 40 or not. So, it is a right tailed hypothesis test

Using TI 84 calculator

enter the given data set in list L1

press stat then tests then Ttest

select L1

press calculate

we get

test statiistic = 2.7262

p value = 0.0099

p value is less than 0.10 significance level, rejecting null hypothesis

Conclusion:- There is enough evidence to support the claim

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 1% level of significance. Give...

The US Department of Energy reported that 45% of homes were
heated by natural gas. A random sample of 300 homes in Oregon found
that 170 were heated by natural gas. Test the claim that proportion
of homes in Oregon that were heated by natural gas is different
than what was reported. Use a 5% significance level. Give answer to
at least 4 decimal places.
What are the correct hypotheses? (Select the correct symbols and
use decimal values not percentages.)...

The mean age when smokers first start is 13 years old with a
population standard deviation of 1.8 years. A researcher thinks
that smoking age has significantly changed since the invention of
ENDS—electronic nicotine delivery systems. A survey of smokers of
this generation was done to see if the mean age has changed. The
sample of 34 smokers found that their mean starting age was 12.2
years old. Do the data support the claim at the 10% significance
level?
What...

The US Department of Energy reported that 46% of homes were
heated by natural gas. A random sample of 300 homes in Oregon found
that 138 were heated by natural gas. Test the claim that proportion
of homes in Oregon that were heated by natural gas is different
than what was reported. Use a 1% significance level. Give answer to
at least 4 decimal places.
What are the correct hypotheses? (Select the correct symbols and
use decimal values not percentages.)...

You are conducting a study to see if the proportion of men over
the age of 50 who regularly have their prostate examined is
significantly less than 0.3. A random sample of 726 men over the
age of 50 found that 205 have their prostate regularly examined. Do
the sample data provide convincing evidence to support the claim?
Test the relevant hypotheses using a 1% level of significance. Give
answer to at least 4 decimal places.
What are the correct...

A random sample of 535 college freshman found that 144 bought
most of their textbooks from the college's bookstore. A random
sample of 266 college seniors found that 37 bought their textbooks
from the college's bookstore. You wish to test the claim that the
proportion of all freshman that purchase most of their textbooks
from the college's bookstore is not equal to the proportion of all
seniors at a significance level of α=0.01α=0.01. Round answers to 4
decimal places. Assume...

The mean age when smokers first start is 13 years old with a
population standard deviation of 1.8 years. A researcher thinks
that smoking age has significantly changed since the invention of
ENDS—electronic nicotine delivery systems. A survey of smokers of
this generation was done to see if the mean age has changed. The
sample of 34 smokers found that their mean starting age was 12.1
years old. Do the data support the claim at the 1% significance
level?
ho=...

You are testing the claim that the mean GPA of night students is
different from the mean GPA of day students. You sample 25 night
students, and the sample mean GPA is 2.23 with a standard deviation
of 0.93. You sample 60 day students, and the sample mean GPA is
2.05 with a standard deviation of 0.54. Test the claim using a 10%
level of significance. Assume the population standard deviations
are unequal and that GPAs are normally distributed.
H0:...

A new beta-blocker medication is being tested to treat high
blood pressure. Subjects with high blood pressure volunteered to
take part in the experiment. 160 subjects were randomly assigned to
receive a placebo and 210 received the medicine. High blood
pressure disappeared in 100 of the controls and in 112 of the
treatment group. Test the claim that the new beta-blocker medicine
is effective at a significance level of αα = 0.05.
What are the correct hypotheses?
H0: Select an...

Consider a paint-drying situation in which drying time for a
test specimen is normally distributed with σ = 9. The hypotheses
H0: μ = 74 and Ha: μ < 74 are to be tested using a random sample
of n = 25 observations.
(a) How many standard deviations (of X) below the null value is
x = 72.3? (Round your answer to two decimal places.)
_________________standard deviations
(b) If x = 72.3, what is the conclusion using α = 0.004?...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 5 minutes ago

asked 7 minutes ago

asked 11 minutes ago

asked 24 minutes ago

asked 24 minutes ago

asked 28 minutes ago

asked 37 minutes ago

asked 41 minutes ago

asked 45 minutes ago

asked 46 minutes ago

asked 47 minutes ago