Question
In: Statistics and Probability
A random sample of 10 sales receipts for mail-order sales results in a mean sale amount...
A random sample of 10 sales receipts for mail-order sales results in a mean sale amount of $79.20 with a standard deviation of $18.75 A random sample of 16 sales receipts for internet sales results in a mean sale amount of $70.30 with a standard deviation of $28.75 Using this data, find the 98% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed. Step 2 of 3 : Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. Step 3: Find the upper and lower limits of the confidence interval.
Solutions
orchestra answered 1 year agoRelated Solutions
A sample of 49 sales receipts from Apple store has the sample mean of $450 and...
A sample of 49 sales receipts from Apple store has the sample
mean of $450 and population standard deviation of $70. Use these
values to test whether or not the mean of sales at the Apple store
would be different from $430.
a) Find 95% Confidence Interval for a mean.
b) Hypothesis Testing with significance level a =
0.05.
Step 1. State the null and alternative hypotheses.
Step 2. State Decision Rule for both p-value and critical value
methods
Decision Rule...
A simple random sample of 60 items results in a sample mean of 80. The population...
A simple random sample of 60 items results in a sample mean of
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Compute the 95% confidence interval for the population mean.
(Round to two decimal places) __________ and __________
Assume the same sample mean was obtained from a sample of 120
items. Provide a 95% confidence interval for the population mean.
(Round to two decimal places) __________ and __________
Let a random sample of 100 homes sold yields a sample mean sale price of $100,000...
Let a random sample of 100 homes sold yields a sample mean sale
price of $100,000 and a sample standard deviation of $5,000. Find a
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information provided above.
Calculate the following:
1) Margin of error = Answer
2) x̄ ± margin error = Answer < μ < Answer
Table1 -
Common Z-values for confidence intervals
Confidence Level Zα/2
90% 1.645
95% 1.96
99% 2.58
A random sample of 81 credit sales in a department store showed an average sale of...
A random sample of 81 credit sales in a department store showed
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Sales Order Processing System The customer sales order is received via phone or through the mail....
Sales Order Processing System
The customer sales order is received via phone or through the
mail. Gus Grinwich, the sales clerk, receives the sales order and
checks the customer’s credit record. Once Grinwich checks the
customer’s credit record, he prepares the sales order. From this
sales order, Grinwich prepares a customer copy, stock release,
shipping notice, two copies of the invoice, ledger copy, packing
slip, and the file copy. One of the invoice copies, the ledger
copy, and the file...
In order to conduct a hypothesis test for the population mean, a random sample of 12...
In order to conduct a hypothesis test for the population mean, a
random sample of 12 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 16.6 and 2.2,
respectively.
H0: μ ≤ 14.9 against
HA: μ > 14.9
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal
places and final answer to 3 decimal places.)
a-2. Find the
p-value.
0.05 p-value < 0.10...
In order to conduct a hypothesis test for the population mean, a random sample of 24...
In order to conduct a hypothesis test for the population mean, a
random sample of 24 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 13.9 and 1.6, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table).
H0: μ ≤ 13.0 against
HA: μ > 13.0
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal...
In order to conduct a hypothesis test for the population mean, a random sample of 24...
In order to conduct a hypothesis test for the population mean, a
random sample of 24 observations is drawn from a normally
distributed population. The resulting mean and the standard
deviation are calculated as 6.3 and 2.5, respectively. Use Table 2.
Use the critical value approach to conduct the following tests at α
= 0.05. H0: μ ≤ 5.1 against HA: μ > 5.1 a-1. Calculate the value
of the test statistic. (Round your answer to 2 decimal places.)
Test...
In order to conduct a hypothesis test for the population mean, a random sample of 24...
In order to conduct a hypothesis test for the population mean, a
random sample of 24 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 13.9 and 1.6, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table).
H0: μ ≤ 13.0 against
HA: μ > 13.0
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal...
In order to conduct a hypothesis test for the population mean, a random sample of 9...
In order to conduct a hypothesis test for the population mean, a
random sample of 9 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 14.0 and 1.4, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table).
H0: μ ≤ 13.3 against
HA: μ > 13.3
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal...
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