Question-10:15 & 10.17 The manager of the women\'s dress department of a departm

Question

Question-10:15 & 10.17 The manager of the women's dress department of a department store wants to know whether the true average number sold per day is 24. If in a random sample of 36 days the average number of dresses sold is 23 with a standard deviation of seven dresses, is there, at the 0.05 level of significance, sufficient evidence to reject the null hypothesis that mu = 24? The nurse in a dentist's office claims that he treats 20 patients per day. To verify this claim, the nurse randomly selects a sample of records for 100 days and concludes that the mean number of patients is 18.1 with a standard deviation of 5.4. Use the 0.05 level of significance to test the null hypothesis mu = 20 patients against the alternative hypothesis mu

Explanation / Answer

Claim: The average number of dresses sold per day is 24.

Hypotheses:

Null   H0:    µ   =   µ0   = 24

Alternative   HA: µ 24   

Test Statistic:

t = (n)(Xbar - µ0)/s where

n = sample size = 16

Xbar = sample mean = 23

µ0   (given)     = 24

s = sample standard deviation = 7

So, tcal = - 0.5714

Distribution and Critical Value

Under H0, t ~ t with DF = n - 1   = 15

Given = 0.05

Critical Value, tcrit = upper

/2 % point of tn-1 = 2.1316

Decision Criterion (Rejection Region)

Reject H0 if |tcal| > tcrit

Since |tcal| < tcrit, H0 is accepted.

Conclusion:

There is sufficient evidence to support the .

claim that the mean number of dresses sold per day is 24.

DONE

Claim: The average number of dresses sold per day is 24.

Hypotheses:

Null   H0:    µ   =   µ0   = 24

Alternative   HA: µ 24   

Test Statistic:

t = (n)(Xbar - µ0)/s where

n = sample size = 16

Xbar = sample mean = 23

µ0   (given)     = 24

s = sample standard deviation = 7

So, tcal = - 0.5714

Distribution and Critical Value

Under H0, t ~ t with DF = n - 1   = 15

Given = 0.05

Critical Value, tcrit = upper

/2 % point of tn-1 = 2.1316

Decision Criterion (Rejection Region)

Reject H0 if |tcal| > tcrit

Since |tcal| < tcrit, H0 is accepted.

Conclusion:

There is sufficient evidence to support the .

claim that the mean number of dresses sold per day is 24.

DONE

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.