Question

**Claim:** Last quarter, the *average* home
price in Washington state was $409,228.

Do you believe, since the COVID-19 pandemic started, that home prices have are different?

**Test the claim, using a two-tail hypothesis test at the
5% significance level.**

a) **Gather the data.**

Here is my data from Redfin:

House | Price |

1 | 819500 |

2 | 499950 |

3 | 569000 |

4 | 220000 |

5 | 110000 |

6 | 499999 |

7 | 389900 |

8 | 399000 |

9 | 650000 |

10 | 459000 |

11 | 975000 |

12 | 749000 |

13 | 848000 |

14 | 529000 |

15 | 325000 |

16 | 895000 |

17 | 337250 |

18 | 489000 |

19 | 485000 |

20 | 369000 |

21 | 2100000 |

22 | 509000 |

23 | 469900 |

24 | 380000 |

25 | 260000 |

26 | 475000 |

27 | 765000 |

28 | 675000 |

29 | 649000 |

30 | 256500 |

(b) **What is your sample average and sample standard
deviation for home prices?**

c) **What are the hypotheses for your test?**
Explain.

(d) **What is the test statistic?** Is this a z- or
a t-score? Why?

(e) **What is the p-value?** What is the meaning of
the p-value when the null hypothesis is assumed to be true?

(f) Based on your answer in part (e), **should you
reject or fail to reject the null
hypothesis?** Explain. State the conclusion for the test in
clear, simple language.

Answer #1

Using your data from Question 1, construct a 90%
confidence interval for the population average home sale
price in Whatcom county.
(b)What does the confidence interval mean?
(c) How is the confidence interval related to the Central Limit
Theorem?
(d) What is the difference between a hypothesis test and a
confidence interval?
House
Price
1
819500
2
499950
3
569000
4
220000
5
110000
6
499999
7
389900
8
399000
9
650000
10
459000
11
975000
12
749000
13
848000...

Q1) Last year the government
made a claim that the average income of the American people was
$33,950. However, a sample of 28 people taken recently showed an
average income of $34,076 with a standard deviation of $324. Is the
government’s estimate too low? Conduct a significance test to see
if the true mean is more than the reported average. Use
α=0.05.
(a) State the null and
alternative hypothesis.
(b) Calculate the test
statistic.
(c) Calculate the p-value.
Round to...

Q1) Last year the government made a claim that the average
income of the American people was $33,950. However, a sample of 28
people taken recently showed an average income of $34,076 with a
standard deviation of $324. Is the government’s estimate too low?
Conduct a significance test to see if the true mean is more than
the reported average. Use α=0.05.
(a) State the null and alternative hypothesis.
(b) Calculate the test statistic.
(c) Calculate the p-value. Round to...

Q1) Last year the government made a claim that the average
income of the American people was $34100 However, a sample of 25
people taken recently showed an average income of $34,665 with a
standard deviation of $3200. Is the government’s estimate too low?
Conduct a significance test to see if the true mean is
more than the reported average. Use α=0.05.
(a) State the null and alternative hypothesis.
(b) Calculate the test statistic.
(c) Calculate the p-value. Round to...

A claim is made that the average salary for all jobs in
Minnesota is greater than $70,500. You are going to test the claim
using α=0.05 and assume that your
data is normally distributed and the population standard
deviation (σ) is not
known.
a. Write the null and alternative hypotheses
symbolically and identify which hypothesis is the claim. Then
identify if the test is left-tailed, right-tailed, or two-tailed
and explain why.
b. Identify and explain which test statistic you will...

The following table lists the number of pages in four different
types of magazines.
Home
decorating
News
Health
Computer
175
89
84
109
287
97
154
139
165
124
91
101
208
107
107
208
200
104
98
149
Using a significance level of 5%, test the hypothesis that the four
magazine types have the same average length. (Let 1 = Home
decorating, 2 = News, 3 = Health and 4 = Computer.)
Part (a)
State the null hypothesis.
H0:...

The average annual salary of employees at Wintertime
Sports was $28,750 last year. This year the company opened another
store. Suppose a random sample of 18 employees had an average
annual salary of x = $25,810 with sample standard deviation of s =
$4,230. Use a 1% level of significance to test the claim that the
average annual salary for all employees is different from last
year’s average salary.
State the null and alternate hypotheses. Is the test
left-tailed, right-tailed,...

Consumers Energy states that the average electric bill across
the state is $62.138. You want to test the claim that the average
bill amount is actually greater than $62.138. The hypotheses for
this situation are as follows: Null Hypothesis: μ ≤ 62.138,
Alternative Hypothesis: μ > 62.138. A random sample of 28
customer's bills shows an average cost of $61.026 with a standard
deviation of $7.3698. What is the test statistic and p-value for
this test?
Question 13 options:
1)...

You are conducting a multinomial hypothesis test (α = 0.05) for
the claim that all 5 categories are equally likely to be selected.
Complete the table.
Category
Observed
Frequency
Expected
Frequency
Squared
Pearson
Residual
A
5
B
6
C
19
D
5
E
20
Report all answers accurate to three decimal places. But
retain unrounded numbers for future calculations.
What is the chi-square test-statistic for this data? (Report answer
accurate to three decimal places, and remember to use the unrounded...

#14 Three years ago, the mean price of an existing
single-family home was $243 comma 700. A real estate broker
believes that existing home prices in her neighborhood are higher.
(a) Determine the null and alternative hypotheses. (b) Explain
what it would mean to make a Type I error. (c) Explain what it
would mean to make a Type II error. (a) State the hypotheses.
Upper H 0: ▼ p sigma mu ▼ greater than less than not equals equals...

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