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Homework answers / question archive / 1)The standard error (SE) of X¯ is: 1 0

1)The standard error (SE) of *X*¯ is:

- 1
- 0.1111
- 1.56
- 0.98

- The critical value (CV) needed for 90% confidence interval estimation is:

- 2.56
- 1.67
- 1.28
- 1.64

- The 90% confidence interval estimate of
*μ*is

- 67±1.66
- 67±1.67
- 67±1.87
- 67±1.56

4) Suppose the Highway Safety Department claims that the average speed is 68 miles per hour. In light of the sample evidence and at the 10% level of significance,

Select one:

- We cannot reject Dell's claim
- We can reject Dell's claim

5) If we increase the confidence level (1-α) from 0.90 to 0.95, the margin of error (ME) of the confidence interval estimate will

- Increase
- Decrease
- Stays the same
- be zero

6) The standard error (SE) of *p*¯ is

- 0.352
- 0.00352
- 0.0352
- 0.3352

7) The critical value (CV) needed for the 90% confidence interval estimation of *p* is

- 1.56
- -1.56
- 2.56
- 1.64

8) The 90% confidence interval estimate of *p* is

- 0.7 ± 0.0512
- 0.7 ± 0.0419
- 0.7 ± 0.0119
- 0.7 ± 0.0578

9) Suppose around the period the above sample was taken, H & R Block (a tax preparation company) claims that 72% of all individual tax returns are electronically filed. In light of the sample evidence and at the 10% level of significance,

- We can reject the commentator's claim
- We cannot reject the commentator's claim

10) Using the current sample proportion of *p*¯=0.7 (from the 169 individual tax returns) as a basis, what sample size (n) would be required to achieve a 10% margin of error?

- 57
- 56
- 55
- 54

11) The sampling distribution of *X*¯

- is not normal because the sample size is too large
- is not normal because the sample size is too small
- is normal due to the Chebyshev's Theorem
- is normal due to the Central Limit Theorem

12) The standard error (SE) of *X*¯ is

- 5.3341
- 5.5355
- 5.3146
- 5.5766

13) What is the probability that a random sample of 200 cellular customers will provide an *average*(*X*¯) that is within $10 of the population mean (µ)?

- 0.9953
- 0.8990
- 0.9789
- 0.9576

14) The probability in the PRECEDING question would ------ if we were to increase the sample size (n) from 200 to 246.

- Decrease
- Be Zero
- Increase
- Stays the same

15) Suppose we reduce the sample size (n) from 200 to 25. The sampling distribution of *X*¯ will be normal only if

- X is normally distributed
- X has a left skewed distribution
- X has a bi-modal distribution
- X has a right skewed distribution

16) The sampling distribution of *p*¯ is normal because....

- n*p >= 5 and n*(1-p) >= 5
- n*p >= 5 and n*(1-p) <= 5
- n*p >= 5 or n*(1-p) >= 5
- n*p <= 5 or n*(1-p) >= 5

17) The standard error (SE) of *p*¯ is

- 0.0178
- 0.0297
- 0.0265
- 0.0249

18) What is the probability that a random sample of 250 U.S. adults will provide a sample proportion (*p*¯) that is within 0.03 of the population proportion (*p*)? (none of the option are the correct answer)

- 0.7561
- 0.8912
- 0.4345
- 0.7431

19) What is the probability that a random sample of 250 U.S. adults will provide a sample proportion (*p*¯) that is within 0.08 of the population proportion (*p*)?

)? (none of the option are the correct answer)

- 0.0711
- 0.0751
- 0.0890
- 0.6573

20) Say, you took a random sample of 250 U.S. adults, and found out that the sample proportion (*p*¯) for this sample to be 0.32 (or 32%). In light of the result from the PRECEDING question,

- This is considered a very strange finding because a sample proportion of 32% should be extremely rare
- This is not considered a very strange finding because a sample proportion of 32% is quite likely

21) Specify the null and alternative hypotheses.

- Ho: ? ≤ 25 ; Ha: ? > 25
- Ho: ? ≥ 25 ; Ha: ? < 25
- Ho: ? < 25 ; Ha: ? ≥25
- Ho: ? equal 25 ; Ha: ? not equals 25

22) The standard error (SE) of *X*¯ is

- 0.781
- 0.643
- 0.512
- 0.988

23) The test statistics value is

- -7.432
- 7.432
- -6.222
- 6.222

24) The p-value is

- 1.61
- 2.12
- 2.53
- 2.45081E-10
*(note: this means a very small number)*

25) At α=0.10 and using the p-value

*We reject Ho in favor of H(a)**We do not reject Ho*

26) Specify the null and alternative hypotheses.

- Ho: ? ≥ 520 ; Ha: ? < 520
- Ho: ? < 520 ; Ha: ? ≥ 520
- Ho: ? equal 520 ; Ha: ? not equals 520
- Ho: ? ≤ 520 ; Ha: ? > 520

27) The standard error (SE) of *X*¯ is

- 21.878
- 20.516
- 20.997
- 22.003

28) The test statistics value is

- 7.443
- 6.712
- 7.825
- 5.617

29) The p-value is

- 4.527E-07
- 4.420E-89
- 4.147E-48
- 4.127E-67

30) At α=0.01 and using the p-value

*We reject Ho in favor of H(a)**We do not reject Ho*

31) What is the null hypothesis H(0)?

- ?1 – ?2 < 0
- ?1 – ?2 ≤ 0
- ?1 – ?2 ≥ 0
- ?1 – ?2 = 0

32) What is the alternative hypothesis H(a)?

- ?1 – ?2 < 0
- ?1 – ?2 > 0
- ?1 – ?2 not equals 0
- ?1 – ?2 ≤ 0

33) What is the standard error of *X*¯1−*X*¯2?

- 0.2387
- 0.9006
- 0.2507
- 0.6724

34) What is the value of the test statistic?

- 2.8711
- 2.6599
- 2.7926
- 2.9082

35) What is the p-value?

- 0.0261
- 0.2612
- 0.0026
- 0.2812

36) At α=0.1 and using the p-value

*We reject Ho in favor of H(a)**We do not reject Ho*

37) Specify the null and alternative hypotheses using correct notations.

- Ho: μd ≤ 0; Ha: μd > 0
- Ho: μd < 0; Ha: μd > 0
- Ho: μd ≥ 0; Ha: μd < 0
- Ho: μd equals 0; Ha: μd not equals 0

38) What is the value of the test statistic?

- 1.245
- 2.761
- 1.391
- 4.223

39) At α=0.05 what is the critical value of the test?

- 2.371
- 2.015
- 1.997
- 3.114

40) At α=0.05 and using the correct critical value from the preceding question

*We reject Ho in favor of H(a)**We do not reject Ho*

41) What is the p-value?

- 0.56
- 0.23
- 0.11
- 0.37

42) Using the p-value approach, what is the correct statistical conclusion?

*We reject Ho in favor of H(a)**We do not reject Ho*

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