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91Ó°ÊÓ

In planning a study of the birth weights of babies whose mothers did not see a doctor

before delivery, a researcher states the hypotheses as

H0:x¯=1000gramsHa:x¯<1000grams

Short Answer

Expert verified

The problem is correct as the population mean value is 1000as per null hypothesis and population mean value is less than 1000as per alternative hypothesis,

Step by step solution

01

introduction

Given,

In planning a study of the birth weights of babies whose mothers did not see a doctor

before delivery, a researcher states the hypotheses as

H0:x¯=1000gramsHa:x¯<1000grams

02

explanation

Calculating the hypotheses,

population mean value = 1000as per null hypothesis

⇒H0:x¯=1000

population mean value is less than1000 as per the alternative hypothesis

⇒Ha:x¯<1000

The problem is correct as the population mean value is 1000 as per null hypothesis and population mean value is less than1000 as per alternative hypothesis,

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Most popular questions from this chapter

A change is made that should improve student satisfaction with the parking situation at your school. Right now, 37% of students approve of the parking that’s provided. The null hypothesis H0:p^=0.37is tested against the alternativeHd:p^≠0.37.

Strong chairs? A company that manufactures classroom chairs for high school students claims that the mean breaking strength of the chairs that they make is 300pounds. One of the chairs collapsed beneath a 220-pound student last week. You wonder whether the manufacturer is exaggerating the breaking strength of the chairs.

(a) State null and alternative hypotheses in words and symbols.

(b) Describe a Type I error and a Type II error in this situation, and give the consequences of each.

(c) Would you recommend a significance level of0.01,0.05, or 0.10for this test? Justify your choice.

(d) The power of this test to detect μ=294is 0.71. Explain what this means to someone who knows little statistics.

(e) Explain two ways that you could increase the power of the test from (d).

- If conditions are met, conduct a significance test about a population proportion.

Which of the following 95% confidence intervals would lead us to reject H0:p=0.30in favor of Ha:p≠0.30at the 5% significance level?

(a) (0.29, 0.38) (c) (0.27, 0.31) (e) None of these

(b) (0.19, 0.27) (d) (0.24, 0.30)

Paying high prices? A retailer entered into an exclusive agreement with a supplier who guaranteed to provide all products at competitive prices. The retailer eventually began to purchase supplies from other vendors who offered better prices. The original supplier filed a lawsuit claiming violation of the agreement. In defense, the retailer had an audit performed on a random sample of 25invoices. For each audited invoice, all purchases made from other suppliers were examined and compared with those offered by the original supplier. The percent of purchases on each invoice for which an alternative supplier offered a lower price than the original supplier was recorded.26For example, a data value of 38means that the price would be lower with a different supplier for 38%of the items on the invoice. A histogram and some computer output

for these data are shown below. Explain why we should not carry out a one-sample t-test in this setting.

Are boys more likely? We hear that newborn babies are more likely to be boys than girls. Is this true? A random sample of 25,468 firstborn children included 13,173 boys. Boys do make up more than half of the sample, but of course, we don't expect a perfect 50-50 split in a random sample.

(a) To what population can the results of this study be generalized: all children or all firstborn children? Justify your answer.

(b) Do these data give convincing evidence that boys are more common than girls in the population? Carry out a significance test to help answer this question.

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