could you please help me with this: 
is this correct
:arrow:
The manager of a take away food bar is monitoring service quality at the bar. Of
particular interest is the time taken to supply customers with the basic order of a
regular burger, fries and soft drink.
The manager considers that such an order should be delivered within 80 seconds.
Assuming the null hypothesis is that the average time taken is 80 seconds (or less)
explain the meaning of making Type I and Type II errors in this context and the
implications of these two types of error.
Which of these errors is likely to be considered more important? Why?
Ho: mean <= 80
type I error: you think the order will not be delivered within 80 sconds when it can be done. Reject true Ho.
type II error: you think the order will be delivered within 80 seconds when it can't be done. Do not reject false Ho.
He observed customers placing this order over a period of several weeks and
found that a random sample of 36 times taken from those he recorded gave an
average of 89.0 seconds and standard deviation of 19.46 seconds.
Assuming the distribution of times taken to produce this basic order is normal,
conduct a z test to determine whether he has cause for concern regarding the
efficiency of the staff. α = 0.05.
Calculate the P-value for this test.
n=36
Sampled mean=89
S=19.46
alpha=0.05
Ha: mean > 80
Ho: mean = 20
rejection regon is Z>1.645
Z=2.77
so reject at alpha=0.05
is this correct
:arrow:
The manager of a take away food bar is monitoring service quality at the bar. Of
particular interest is the time taken to supply customers with the basic order of a
regular burger, fries and soft drink.
The manager considers that such an order should be delivered within 80 seconds.
Assuming the null hypothesis is that the average time taken is 80 seconds (or less)
explain the meaning of making Type I and Type II errors in this context and the
implications of these two types of error.
Which of these errors is likely to be considered more important? Why?
Ho: mean <= 80
type I error: you think the order will not be delivered within 80 sconds when it can be done. Reject true Ho.
type II error: you think the order will be delivered within 80 seconds when it can't be done. Do not reject false Ho.
He observed customers placing this order over a period of several weeks and
found that a random sample of 36 times taken from those he recorded gave an
average of 89.0 seconds and standard deviation of 19.46 seconds.
Assuming the distribution of times taken to produce this basic order is normal,
conduct a z test to determine whether he has cause for concern regarding the
efficiency of the staff. α = 0.05.
Calculate the P-value for this test.
n=36
Sampled mean=89
S=19.46
alpha=0.05
Ha: mean > 80
Ho: mean = 20
rejection regon is Z>1.645
Z=2.77
so reject at alpha=0.05