1, Test the claim that the proportion of people who own cats is smaller than 10% at the 0.01 significance level.

The null and alternative hypothesis would be:

• H0:p=0.1
• H1:p<0.1
• H0:p=0.1
• H1:p0.1
• H0:p=0.1
• H1:p>0.1
• H0:=0.1
• H1:0.1
• H0:0.1
• H1:<0.1
• H0:0.1
• H1:>0.1

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 500 people, 4% owned cats

The test statistic is:(to 3 decimals)

The p-value is:(to 4 decimals)

Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis

2, Use ONLY the Standard Normal Tables (Link) to answer the following...

A set of exam scores is normally distributed and has a mean of 77.7 and a standard deviation of 7.2. What is the probability that a randomly selected score will be between 66 and 71?

Answer =(round to four decimal places)

Note: Be careful...only use theZ Tablehere and round z scores to two places since that's what the table uses...do not use technology or the 68-95-99.7 Rule.

3, You measure 41 textbooks' weights, and find they have a mean weight of 32 ounces. Assume the population standard deviation is 9.7 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.

Give your answers as decimals, to two places

< <

4, You wish to test the following claim (HaHa) at a significance level of=0.001

Ho:=57.3

Ha:<57.3

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of sizen=20with meanx=44.1 and a standard deviation ofs=17.3

1. What is the test statistic for this sample?
3. test statistic =Round to 3 decimal places
5. What is the p-value for this sample?
7. p-value =Use TechnologyRound to 4 decimal places.
9. The p-value is...

• less than (or equal to)
• greater than

3. This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

3. As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is less than 57.3.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 57.3.
• The sample data support the claim that the population mean is less than 57.3.
• There is not sufficient sample evidence to support the claim that the population mean is less than 57.3.

5, Suppose Wall Street securities firms paid out year-end bonuses of $125,500 per employee last year. We take a sample of employees at the ASBE securities firm to see whether the mean year-end bonus is greater thanthe reported mean of $125,500 for the population.

You wish to test the following claim (HaHa) at a significance level of=0.05

Ho:=125500

Ha:>125500

You believe the population is normally distributed and you know the standard deviation is=1600 You obtain a sample mean ofx=126126.6 for a sample of sizen=71

What is the test statistic for this sample?

test statistic =(Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value =(Report answer accurate to 4 decimal places.)

The p-value is...

• less than (or equal to)
• greater than

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 125500.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 125500.
• The sample data support the claim that the population mean is greater than 125500.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 125500.