Question

A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.45 cups per day and 1.59 cups per day for those drinking decaffeinated coffee. A random sample of 51 regular-coffee drinkers showed a mean of 4.30 cups per day. A sample of 47 decaffeinated-coffee drinkers showed a mean of 4.89 cups per day. Use the 0.010 significance level. Is this a one-tailed or a two-tailed test? One-tailed test. Two-tailed test. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) What is the p-value? What is your decision regarding H0? Do not reject H0. Reject H0.

Answer 1

answer:

given data;

• Expect the populace standard deviation for those drinking consistent espresso is 1.45 glasses for each day and 1.59 mugs for every day for those drinking decaffeinated espresso.
• An arbitrary example of 51 general espresso consumers demonstrated a mean of 4.30 glasses for every day.
• An example of 47 decaffeinated-espresso consumers demonstrated a mean of 4.89 glasses for every day

now we are determind the.....

• 1. Use the 0.010 significance level. Is this a one-tailed or a two-tailed test? One-tailed test. Two-tailed test.
• 2.State the decision rule.
• 3. Compute the value of the test statistic.
• 4.What is the p-value?
• 5.What is your decision regarding H0?

so we are find the all bits below......

• 1.

It is a one-followed test

• 2.
• 2555 The choice lead thinks about the example intend to the speculated mean.
• In the event that the example mean is ... Before we can play out a measurable test, we require a couple of theory.
• By convention, we call ... a choice manage for: Suppose we need alpha=.05. ... choice administer as.
• Reject H0 if the 1-alpha certainty interim does not contain mu0.
• A choice decide is a strategy that the scientist uses to choose whether to acknowledge or dismiss the invalid theory .
• For instance, an analyst may guess that a populace mean is equivalent to 10. He/she may gather an irregular example of perceptions to test this speculation.

3.

• The test measurement is
• we know the equation
• Z=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)
• presently substitute the qualities

=(4.3-4.89)/sqrt(1.45^2/51+1.59^2/47)

=(- 0.59)/sqrt (1.45^2/51+1.59^2/47)

=-1.91  

-1.91

• 4.
• The p-value= P(Z<-1.91) =0.0281 (from standard typical table)
• 5.
• Do not dismiss Ho.